Coderivatives of multivalued mappings, locally compact cones and metric regularity
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| Published in: | Nonlinear analysis Vol. 35; no. 7; pp. 925 - 945 |
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| Main Authors: | , |
| Format: | Journal Article |
| Language: | English |
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Elsevier Ltd
01.03.1999
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| ISSN: | 0362-546X, 1873-5215 |
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| Author | Jourani, A. Thibault, L. |
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| Author_xml | – sequence: 1 givenname: A. surname: Jourani fullname: Jourani, A. organization: Université de Bourgogne, Analyse Appliquée et Optimisation, B.P. 400, 21011 Dijon Cedex, France – sequence: 2 givenname: L. surname: Thibault fullname: Thibault, L. organization: Université de Montpellier II, Laboratoire d’Analyse Convexe, Case Courrier 051, 34095 Montpellier Cedex 5, France |
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| Cites_doi | 10.1016/0362-546X(87)90073-3 10.1137/0329056 10.1112/S0025579300013541 10.1080/02331938808843391 10.1080/02331939208843857 10.1287/moor.1.2.130 10.2307/2154734 10.1006/jmaa.1995.1209 10.1016/0362-546X(85)90024-0 10.1007/BF01581135 10.1287/moor.18.2.390 10.4153/CJM-1996-042-1 10.1016/0362-546X(85)90095-1 10.1007/BF00938588 10.1007/BFb0082079 10.1112/S0025579300013930 10.2307/2154544 10.1016/0362-546X(94)00256-H 10.1016/0362-546X(89)90083-7 10.1007/BF01027105 10.1016/0362-546X(87)90008-3 10.1080/02331939508844090 10.1137/S0363012994278171 10.1080/02331939508844134 10.1090/S0002-9947-1995-1290719-8 10.1112/jlms/s2-41.1.175 10.1111/j.1749-6632.1983.tb23308.x 10.1017/S0004972700015276 10.1016/0362-546X(94)90033-7 10.1016/0362-546X(94)E0061-K 10.1006/jmaa.1995.1003 10.4153/CJM-1986-022-4 10.1007/BF02190315 10.1007/BF00969103 10.1090/S0002-9947-96-01543-7 |
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| Issue | 7 |
| Keywords | Metric regularity Locally compact cone Normal cone Subdifferential Coderivative |
| Language | English |
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| References | Borwein (BIB1) 1986; 48 Jourani (BIB20) 1995; 192 J. Diestel, Geometry of Banach Spaces, Lecture Notes in Mathematics, vol. 485, Springer, New York, 1975. P.D. Loewen, Limits of Fréchet normals in nonsmooth analysis, in: A.D. Ioffe et al. (Eds.), Optimization and Nonlinear Analysis, Pitman Research Notes Math. Ser., Vol. 244, Pitman, London, 1992, pp. 178–188. J.M. Borwein, S.P. Fitzpatrick, Weak-star sequential compactness and bornological limit derivatives, CECM Research Report 93–102, 1993. Mordukhovich (BIB32) 1994; 343 Penot (BIB37) 1989; 13 B.S. Mordukhovich, Y. Shao, Stability of set-valued mappings in infinite dimensions: point criteria and applications, preprint (1994), SIAM J. Control Optim. 35 (1997) 285–314. Mordukhovich (BIB30) 1984; 28 Mordukhovich (BIB33) 1993; 340 L. Thibault, D. Zagrodny, Integration of subdifferentials of lower semicontinuous functions in Banach spaces (Preprint 1992), J. Math. Anal. Appl. 189 (1995) 33–58. B. El Abdouni, Thèse d’état, Université Mohamed V, Rabat, 1994. A.D. Ioffe, Codirectional compactness, metric regularity and subdifferential calculus, to appear. Jourani (BIB17) 1994; 81 Jourani, Thibault (BIB22) 1993; 47 Ioffe (BIB9) 1984; 281 A. Jourani, L. Thibault, Verifiable conditions for openness and metric regularity of multivalued mappings in Banach spaces (Preprint 1993), Trans. Amer. Math. Soc. 347 (1995) 1255–1268. A. Jourani, L. Thibault, Extensions of subdifferential calculus rules in Banach spaces and applications (Preprint 1993), Can. J. Math. 48 (1996) 834–848. B.S. Mordukhovich, Y. Shao, Nonsmooth sequential analysis in Asplund spaces (preprint, 1994), Trans. Amer. Math. Soc. 348 (1996) 1235–1280. Jourani (BIB18) 1994; 66 A. Ya. Kruger, B.S. Mordukhovich, Extremum points and the Euler equation in nonsmooth optimization, Dokl. Akad. Nauk. BSSR 24 (1980) 684–687. Jourani, Thibault (BIB21) 1993; 18 L. Thibault, Subdifferentials of compactly Lipschitzian vector-valued functions, Travaux du Sém. d’Analyse Convexe 8 (1978) Fasc. I, Montpellier. Penot (BIB38) 1994; 2 Ioffe (BIB12) 1983; 4 Ioffe (BIB14) 1990; 41 L. Thibault, Lagrange–Kuhn–Tucker multipliers for Pareto optimization problems, in: A. Ioffe, M. Marcus, S. Reich (Eds.), Optimization and Nonlinear Analysis, Pitman Research Notes in Mathematics Series, Pitman, London, 1992. Mordukhovich, Shao (BIB36) 1995; 25 L. Thibault, A note on the Zagrodny mean value theorem (Preprint, 1994), Optimization 35 (1995) 127–130. J.-P. Penot, Compactness property, openness criteria and coderivatives, to appear. A.D. Ioffe, Approximate subdifferentials and applications 3: Metric theory, Mathematika 36 (1989) 1–38. Borwein, Strojwas (BIB5) 1986; 38 Robinson (BIB40) 1976; 1 A. Ya. Kruger, Properties of generalized differentials, Sib. Math. J. 26 (1985) 822–832. Rockafellar (BIB41) 1985; 9 A.D. Ioffe, Approximate subdifferentials and applications 2: Functions on locally convex spaces, Mathematika 33 (1986) 111–128. Jourani (BIB19) 1995; 34 Borwein (BIB2) 1987; 11 Borwein, Strojwas (BIB4) 1985; 9 Ioffe (BIB13) 1987; 11 B. El Abdouni, L. Thibault, Lagrange multipliers for Pareto nonsmooth programming problems in Banach spaces, Optimization 26 (1992) 277–285. A. Jourani, L. Thibault, Metric regularity for strongly compactly Lipschitzian mappings (Preprint 1993), Nonlinear Anal. Theory Meth. Appl. 24 (1995) 229–240. A. Ya. Kruger, A covering theorem for set-valued mappings, Optimization 19 (1988) 763–780. Mordukhovich (BIB31) 1994; 22 Thibault (BIB44) 1991; 29 A. Jourani, Régularité métrique et ses applications en programmation mathématique, Thesis, Université de Pau, France, 1989. Jourani (10.1016/S0362-546X(98)00031-5_BIB19) 1995; 34 10.1016/S0362-546X(98)00031-5_BIB42 10.1016/S0362-546X(98)00031-5_BIB43 10.1016/S0362-546X(98)00031-5_BIB3 10.1016/S0362-546X(98)00031-5_BIB24 10.1016/S0362-546X(98)00031-5_BIB46 10.1016/S0362-546X(98)00031-5_BIB25 10.1016/S0362-546X(98)00031-5_BIB23 10.1016/S0362-546X(98)00031-5_BIB45 Borwein (10.1016/S0362-546X(98)00031-5_BIB5) 1986; 38 10.1016/S0362-546X(98)00031-5_BIB7 10.1016/S0362-546X(98)00031-5_BIB28 10.1016/S0362-546X(98)00031-5_BIB6 10.1016/S0362-546X(98)00031-5_BIB29 10.1016/S0362-546X(98)00031-5_BIB26 10.1016/S0362-546X(98)00031-5_BIB27 Jourani (10.1016/S0362-546X(98)00031-5_BIB20) 1995; 192 Mordukhovich (10.1016/S0362-546X(98)00031-5_BIB36) 1995; 25 Borwein (10.1016/S0362-546X(98)00031-5_BIB2) 1987; 11 Ioffe (10.1016/S0362-546X(98)00031-5_BIB12) 1983; 4 Jourani (10.1016/S0362-546X(98)00031-5_BIB18) 1994; 66 Mordukhovich (10.1016/S0362-546X(98)00031-5_BIB30) 1984; 28 Mordukhovich (10.1016/S0362-546X(98)00031-5_BIB31) 1994; 22 10.1016/S0362-546X(98)00031-5_BIB10 Jourani (10.1016/S0362-546X(98)00031-5_BIB22) 1993; 47 Mordukhovich (10.1016/S0362-546X(98)00031-5_BIB33) 1993; 340 Ioffe (10.1016/S0362-546X(98)00031-5_BIB13) 1987; 11 10.1016/S0362-546X(98)00031-5_BIB35 Borwein (10.1016/S0362-546X(98)00031-5_BIB1) 1986; 48 10.1016/S0362-546X(98)00031-5_BIB11 10.1016/S0362-546X(98)00031-5_BIB34 Ioffe (10.1016/S0362-546X(98)00031-5_BIB9) 1984; 281 10.1016/S0362-546X(98)00031-5_BIB39 Penot (10.1016/S0362-546X(98)00031-5_BIB37) 1989; 13 10.1016/S0362-546X(98)00031-5_BIB15 10.1016/S0362-546X(98)00031-5_BIB16 Jourani (10.1016/S0362-546X(98)00031-5_BIB17) 1994; 81 Jourani (10.1016/S0362-546X(98)00031-5_BIB21) 1993; 18 10.1016/S0362-546X(98)00031-5_BIB8 Borwein (10.1016/S0362-546X(98)00031-5_BIB4) 1985; 9 Penot (10.1016/S0362-546X(98)00031-5_BIB38) 1994; 2 Ioffe (10.1016/S0362-546X(98)00031-5_BIB14) 1990; 41 Robinson (10.1016/S0362-546X(98)00031-5_BIB40) 1976; 1 Rockafellar (10.1016/S0362-546X(98)00031-5_BIB41) 1985; 9 Mordukhovich (10.1016/S0362-546X(98)00031-5_BIB32) 1994; 343 Thibault (10.1016/S0362-546X(98)00031-5_BIB44) 1991; 29 |
| References_xml | – reference: B.S. Mordukhovich, Y. Shao, Nonsmooth sequential analysis in Asplund spaces (preprint, 1994), Trans. Amer. Math. Soc. 348 (1996) 1235–1280. – reference: A. Ya. Kruger, A covering theorem for set-valued mappings, Optimization 19 (1988) 763–780. – volume: 66 start-page: 1 year: 1994 end-page: 23 ident: BIB18 article-title: Qualification conditions for multivalued functions in Banach spaces with applications to nonsmooth vector optimization problems publication-title: Math. Prog. – reference: J.-P. Penot, Compactness property, openness criteria and coderivatives, to appear. – volume: 38 start-page: 431 year: 1986 end-page: 452 ident: BIB5 article-title: Proximal analysis and boundaries of closed sets in Banach space, Part I publication-title: Can. J. Math. – volume: 48 start-page: 9 year: 1986 end-page: 52 ident: BIB1 article-title: Stability and regular point of inequality systems publication-title: J. Optim. Theory Appl. – reference: J.M. Borwein, S.P. Fitzpatrick, Weak-star sequential compactness and bornological limit derivatives, CECM Research Report 93–102, 1993. – volume: 22 start-page: 173 year: 1994 end-page: 206 ident: BIB31 article-title: Lipschitz stability of constraint systems and generalized equations publication-title: Nonlinear Anal. Theory Meth. Appl. – reference: L. Thibault, A note on the Zagrodny mean value theorem (Preprint, 1994), Optimization 35 (1995) 127–130. – volume: 343 start-page: 609 year: 1994 end-page: 657 ident: BIB32 article-title: Stability theory for parametric generalized equations and variational inequalities via nonsmooth analysis publication-title: Trans. Amer. Math. Soc. – reference: A.D. Ioffe, Codirectional compactness, metric regularity and subdifferential calculus, to appear. – reference: A. Ya. Kruger, B.S. Mordukhovich, Extremum points and the Euler equation in nonsmooth optimization, Dokl. Akad. Nauk. BSSR 24 (1980) 684–687. – reference: P.D. Loewen, Limits of Fréchet normals in nonsmooth analysis, in: A.D. Ioffe et al. (Eds.), Optimization and Nonlinear Analysis, Pitman Research Notes Math. Ser., Vol. 244, Pitman, London, 1992, pp. 178–188. – volume: 81 start-page: 97 year: 1994 end-page: 120 ident: BIB17 article-title: Metric regularity and second order necessary optimality conditions for minimization problems under inclusion constraints publication-title: J. Optim. Theory Appl. – volume: 18 start-page: 390 year: 1993 end-page: 401 ident: BIB21 article-title: Approximations and metric regularity in mathematical programming in Banach space publication-title: Math. Oper. Res. – volume: 192 start-page: 867 year: 1995 end-page: 891 ident: BIB20 article-title: Intersection formulae and the marginal function in Banach spaces publication-title: J. Math. Anal. Appl. – reference: A. Jourani, L. Thibault, Metric regularity for strongly compactly Lipschitzian mappings (Preprint 1993), Nonlinear Anal. Theory Meth. Appl. 24 (1995) 229–240. – reference: A. Ya. Kruger, Properties of generalized differentials, Sib. Math. J. 26 (1985) 822–832. – reference: L. Thibault, D. Zagrodny, Integration of subdifferentials of lower semicontinuous functions in Banach spaces (Preprint 1992), J. Math. Anal. Appl. 189 (1995) 33–58. – reference: B. El Abdouni, Thèse d’état, Université Mohamed V, Rabat, 1994. – volume: 281 start-page: 289 year: 1984 end-page: 316 ident: BIB9 article-title: Approximate subdifferentials and applications 1 publication-title: Trans. Amer. Math. Soc. – volume: 2 start-page: 259 year: 1994 end-page: 274 ident: BIB38 article-title: Miscellaneous incidences of convergence theories in optimization and nonlinear analysis I publication-title: Set-Val. Anal. – reference: A.D. Ioffe, Approximate subdifferentials and applications 2: Functions on locally convex spaces, Mathematika 33 (1986) 111–128. – volume: 1 start-page: 130 year: 1976 end-page: 143 ident: BIB40 article-title: Regularity and stability for convex multivalued functions publication-title: Math. Oper. Res. – reference: A. Jourani, L. Thibault, Extensions of subdifferential calculus rules in Banach spaces and applications (Preprint 1993), Can. J. Math. 48 (1996) 834–848. – volume: 13 start-page: 629 year: 1989 end-page: 643 ident: BIB37 article-title: Metric regularity, openness and Lipschitzian behavior of multifunctions publication-title: Nonlinear Anal. Theory Meth. Appl. – volume: 4 start-page: 107 year: 1983 end-page: 120 ident: BIB12 article-title: On subdifferentiability spaces publication-title: Ann NY Acad. Sci. – volume: 28 start-page: 976 year: 1984 end-page: 979 ident: BIB30 article-title: Nonsmooth analysis with nonconvex generalized differentials and adjoint mappings publication-title: Dokl. Akad. Nauk BSSR – reference: B.S. Mordukhovich, Y. Shao, Stability of set-valued mappings in infinite dimensions: point criteria and applications, preprint (1994), SIAM J. Control Optim. 35 (1997) 285–314. – volume: 9 start-page: 1347 year: 1985 end-page: 1366 ident: BIB4 article-title: Tangential approximations publication-title: Nonlinear Anal. Theory Meth. Appl. – reference: B. El Abdouni, L. Thibault, Lagrange multipliers for Pareto nonsmooth programming problems in Banach spaces, Optimization 26 (1992) 277–285. – volume: 340 start-page: 1 year: 1993 end-page: 35 ident: BIB33 article-title: Complete characterization of openness, metric regularity, and Lipschitzian properties of multifunctions publication-title: Trans. Amer. Math. Soc. – volume: 9 start-page: 867 year: 1985 end-page: 885 ident: BIB41 article-title: Lipschitz property of multifunctions publication-title: Nonlinear Anal. Theory Meth. Appl. – volume: 11 start-page: 1207 year: 1987 end-page: 1217 ident: BIB2 article-title: Epi-Lipschitz-like sets in Banach space publication-title: Nonlinear Anal. Theory Meth. Appl. – volume: 47 start-page: 443 year: 1993 end-page: 455 ident: BIB22 article-title: Approximate subdifferentials of composite functions publication-title: Bull. Austral. Math. Soc. – reference: A. Jourani, L. Thibault, Verifiable conditions for openness and metric regularity of multivalued mappings in Banach spaces (Preprint 1993), Trans. Amer. Math. Soc. 347 (1995) 1255–1268. – volume: 25 start-page: 1401 year: 1995 end-page: 1424 ident: BIB36 article-title: Differential characterizations of covering, metric regularity, and Lipschitzian properties of multifunctions between Banach spaces publication-title: Nonlinear Anal. Theory Meth. Appl. – reference: J. Diestel, Geometry of Banach Spaces, Lecture Notes in Mathematics, vol. 485, Springer, New York, 1975. – volume: 11 start-page: 565 year: 1987 end-page: 592 ident: BIB13 article-title: On the local surjection property publication-title: Nonlinear Anal. Theory Meth. Appl. – volume: 41 start-page: 175 year: 1990 end-page: 192 ident: BIB14 article-title: Proximal analysis and approximate subdifferentials publication-title: J. London Math. Soc. – reference: A.D. Ioffe, Approximate subdifferentials and applications 3: Metric theory, Mathematika 36 (1989) 1–38. – reference: A. Jourani, Régularité métrique et ses applications en programmation mathématique, Thesis, Université de Pau, France, 1989. – volume: 34 start-page: 1 year: 1995 end-page: 17 ident: BIB19 article-title: Compactly epi-Lipschitzian sets and A-subdifferential in WT-spaces publication-title: Optimization – reference: L. Thibault, Subdifferentials of compactly Lipschitzian vector-valued functions, Travaux du Sém. d’Analyse Convexe 8 (1978) Fasc. I, Montpellier. – reference: L. Thibault, Lagrange–Kuhn–Tucker multipliers for Pareto optimization problems, in: A. Ioffe, M. Marcus, S. Reich (Eds.), Optimization and Nonlinear Analysis, Pitman Research Notes in Mathematics Series, Pitman, London, 1992. – volume: 29 start-page: 1019 year: 1991 end-page: 1036 ident: BIB44 article-title: On subdifferentials of optimal value functions publication-title: SIAM J. Control Optim. – volume: 11 start-page: 565 year: 1987 ident: 10.1016/S0362-546X(98)00031-5_BIB13 article-title: On the local surjection property publication-title: Nonlinear Anal. Theory Meth. Appl. doi: 10.1016/0362-546X(87)90073-3 – volume: 29 start-page: 1019 year: 1991 ident: 10.1016/S0362-546X(98)00031-5_BIB44 article-title: On subdifferentials of optimal value functions publication-title: SIAM J. Control Optim. doi: 10.1137/0329056 – ident: 10.1016/S0362-546X(98)00031-5_BIB15 – ident: 10.1016/S0362-546X(98)00031-5_BIB11 doi: 10.1112/S0025579300013541 – ident: 10.1016/S0362-546X(98)00031-5_BIB27 doi: 10.1080/02331938808843391 – ident: 10.1016/S0362-546X(98)00031-5_BIB8 doi: 10.1080/02331939208843857 – volume: 1 start-page: 130 year: 1976 ident: 10.1016/S0362-546X(98)00031-5_BIB40 article-title: Regularity and stability for convex multivalued functions publication-title: Math. Oper. Res. doi: 10.1287/moor.1.2.130 – volume: 343 start-page: 609 year: 1994 ident: 10.1016/S0362-546X(98)00031-5_BIB32 article-title: Stability theory for parametric generalized equations and variational inequalities via nonsmooth analysis publication-title: Trans. Amer. Math. Soc. doi: 10.2307/2154734 – volume: 192 start-page: 867 year: 1995 ident: 10.1016/S0362-546X(98)00031-5_BIB20 article-title: Intersection formulae and the marginal function in Banach spaces publication-title: J. Math. Anal. Appl. doi: 10.1006/jmaa.1995.1209 – volume: 28 start-page: 976 year: 1984 ident: 10.1016/S0362-546X(98)00031-5_BIB30 article-title: Nonsmooth analysis with nonconvex generalized differentials and adjoint mappings publication-title: Dokl. Akad. Nauk BSSR – volume: 9 start-page: 867 year: 1985 ident: 10.1016/S0362-546X(98)00031-5_BIB41 article-title: Lipschitz property of multifunctions publication-title: Nonlinear Anal. Theory Meth. Appl. doi: 10.1016/0362-546X(85)90024-0 – volume: 66 start-page: 1 year: 1994 ident: 10.1016/S0362-546X(98)00031-5_BIB18 article-title: Qualification conditions for multivalued functions in Banach spaces with applications to nonsmooth vector optimization problems publication-title: Math. Prog. doi: 10.1007/BF01581135 – volume: 18 start-page: 390 year: 1993 ident: 10.1016/S0362-546X(98)00031-5_BIB21 article-title: Approximations and metric regularity in mathematical programming in Banach space publication-title: Math. Oper. Res. doi: 10.1287/moor.18.2.390 – ident: 10.1016/S0362-546X(98)00031-5_BIB23 doi: 10.4153/CJM-1996-042-1 – volume: 9 start-page: 1347 year: 1985 ident: 10.1016/S0362-546X(98)00031-5_BIB4 article-title: Tangential approximations publication-title: Nonlinear Anal. Theory Meth. Appl. doi: 10.1016/0362-546X(85)90095-1 – volume: 48 start-page: 9 year: 1986 ident: 10.1016/S0362-546X(98)00031-5_BIB1 article-title: Stability and regular point of inequality systems publication-title: J. Optim. Theory Appl. doi: 10.1007/BF00938588 – ident: 10.1016/S0362-546X(98)00031-5_BIB6 doi: 10.1007/BFb0082079 – ident: 10.1016/S0362-546X(98)00031-5_BIB43 – ident: 10.1016/S0362-546X(98)00031-5_BIB10 doi: 10.1112/S0025579300013930 – ident: 10.1016/S0362-546X(98)00031-5_BIB28 – ident: 10.1016/S0362-546X(98)00031-5_BIB16 – volume: 340 start-page: 1 year: 1993 ident: 10.1016/S0362-546X(98)00031-5_BIB33 article-title: Complete characterization of openness, metric regularity, and Lipschitzian properties of multifunctions publication-title: Trans. Amer. Math. Soc. doi: 10.2307/2154544 – ident: 10.1016/S0362-546X(98)00031-5_BIB39 – ident: 10.1016/S0362-546X(98)00031-5_BIB7 – volume: 25 start-page: 1401 year: 1995 ident: 10.1016/S0362-546X(98)00031-5_BIB36 article-title: Differential characterizations of covering, metric regularity, and Lipschitzian properties of multifunctions between Banach spaces publication-title: Nonlinear Anal. Theory Meth. Appl. doi: 10.1016/0362-546X(94)00256-H – volume: 13 start-page: 629 year: 1989 ident: 10.1016/S0362-546X(98)00031-5_BIB37 article-title: Metric regularity, openness and Lipschitzian behavior of multifunctions publication-title: Nonlinear Anal. Theory Meth. Appl. doi: 10.1016/0362-546X(89)90083-7 – volume: 2 start-page: 259 year: 1994 ident: 10.1016/S0362-546X(98)00031-5_BIB38 article-title: Miscellaneous incidences of convergence theories in optimization and nonlinear analysis I publication-title: Set-Val. Anal. doi: 10.1007/BF01027105 – volume: 11 start-page: 1207 year: 1987 ident: 10.1016/S0362-546X(98)00031-5_BIB2 article-title: Epi-Lipschitz-like sets in Banach space publication-title: Nonlinear Anal. Theory Meth. Appl. doi: 10.1016/0362-546X(87)90008-3 – volume: 34 start-page: 1 year: 1995 ident: 10.1016/S0362-546X(98)00031-5_BIB19 article-title: Compactly epi-Lipschitzian sets and A-subdifferential in WT-spaces publication-title: Optimization doi: 10.1080/02331939508844090 – ident: 10.1016/S0362-546X(98)00031-5_BIB34 doi: 10.1137/S0363012994278171 – ident: 10.1016/S0362-546X(98)00031-5_BIB45 doi: 10.1080/02331939508844134 – ident: 10.1016/S0362-546X(98)00031-5_BIB24 doi: 10.1090/S0002-9947-1995-1290719-8 – volume: 41 start-page: 175 year: 1990 ident: 10.1016/S0362-546X(98)00031-5_BIB14 article-title: Proximal analysis and approximate subdifferentials publication-title: J. London Math. Soc. doi: 10.1112/jlms/s2-41.1.175 – volume: 4 start-page: 107 year: 1983 ident: 10.1016/S0362-546X(98)00031-5_BIB12 article-title: On subdifferentiability spaces publication-title: Ann NY Acad. Sci. doi: 10.1111/j.1749-6632.1983.tb23308.x – volume: 47 start-page: 443 year: 1993 ident: 10.1016/S0362-546X(98)00031-5_BIB22 article-title: Approximate subdifferentials of composite functions publication-title: Bull. Austral. Math. Soc. doi: 10.1017/S0004972700015276 – volume: 281 start-page: 289 year: 1984 ident: 10.1016/S0362-546X(98)00031-5_BIB9 article-title: Approximate subdifferentials and applications 1 publication-title: Trans. Amer. Math. Soc. – volume: 22 start-page: 173 year: 1994 ident: 10.1016/S0362-546X(98)00031-5_BIB31 article-title: Lipschitz stability of constraint systems and generalized equations publication-title: Nonlinear Anal. Theory Meth. Appl. doi: 10.1016/0362-546X(94)90033-7 – ident: 10.1016/S0362-546X(98)00031-5_BIB3 – ident: 10.1016/S0362-546X(98)00031-5_BIB25 doi: 10.1016/0362-546X(94)E0061-K – ident: 10.1016/S0362-546X(98)00031-5_BIB46 doi: 10.1006/jmaa.1995.1003 – volume: 38 start-page: 431 year: 1986 ident: 10.1016/S0362-546X(98)00031-5_BIB5 article-title: Proximal analysis and boundaries of closed sets in Banach space, Part I publication-title: Can. J. Math. doi: 10.4153/CJM-1986-022-4 – volume: 81 start-page: 97 year: 1994 ident: 10.1016/S0362-546X(98)00031-5_BIB17 article-title: Metric regularity and second order necessary optimality conditions for minimization problems under inclusion constraints publication-title: J. Optim. Theory Appl. doi: 10.1007/BF02190315 – ident: 10.1016/S0362-546X(98)00031-5_BIB26 doi: 10.1007/BF00969103 – ident: 10.1016/S0362-546X(98)00031-5_BIB29 – ident: 10.1016/S0362-546X(98)00031-5_BIB42 – ident: 10.1016/S0362-546X(98)00031-5_BIB35 doi: 10.1090/S0002-9947-96-01543-7 |
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