coderivatives of set-valued mappings: Calculus and applications
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| Veröffentlicht in: | Nonlinear analysis Jg. 30; H. 5; S. 3059 - 3070 |
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| Format: | Journal Article |
| Sprache: | Englisch |
| Veröffentlicht: |
Elsevier Ltd
01.12.1997
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| ISSN: | 0362-546X, 1873-5215 |
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| Author | Mordukhovich, Boris S. |
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| Author_xml | – sequence: 1 givenname: Boris S. surname: Mordukhovich fullname: Mordukhovich, Boris S. organization: Department of Mathematics, Wayne State University, Detroit, MI 48202, U.S.A |
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| Cites_doi | 10.1137/S0363012995283133 10.1090/S0002-9947-96-01544-9 10.1007/BF00419366 10.1016/0362-546X(94)00256-H 10.2307/2154544 10.2307/2154809 10.1007/BFb0120850 10.1137/S0363012993245665 10.1016/0021-8928(76)90136-2 10.1080/02331939408844004 10.1137/S0363012991217494 10.2307/2154734 10.1006/jmaa.1994.1144 10.1090/S0002-9947-96-01543-7 10.1137/S1052623495284029 10.1016/0362-546X(94)90033-7 10.1137/S0363012994278171 10.1090/S0002-9947-1983-0694379-8 10.1287/moor.9.1.87 |
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| Issue | 5 |
| Keywords | coderivatives generalized differential calculus sequential limits Lipschitzian stability Set-valued and nonsmooth mappings Banach and Asplund spaces applications to optimization and control |
| Language | English |
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| References | Mordukhovich (bib35) 1994; 343 Loewen, Rockafellar (bib29) 1994; 32 Robinson (bib33) 1979; 10 Aubin, Frankowska (bib3) 1990 Ioffe, Penot (bib18) 1996 Jourani A. & Thibault L., Chain rules for coderivatives of multivalued mappings in Banach spaces, Proc. Am. math. Soc. (to appear). Thibault (bib8) 1983; 277 Ioffe A. D., Euler-Lagrange and Hamiltonian formalisms in dynasmic optimization, Thins. Am. math. Soc. (to appear). Rockafellar R. T. & Wets R. J.-B., Variational Analysis. Springer, Berlin (to appear). Mordukhovich, Shao (bib12) 1996; 4 Henrion (bib41) 1996 Mordukhovich B. (bib4) 1976; 40 Mordukhovich (bib1) 1980; 22 Smirnov (bib28) 1991; 27 Ioffe (bib17) 1996 Mordukhovich B. (bib9) 1993; 340 Aubin (bib26) 1984; 9 Mordukhovich (bib34) 1994; 22 Kruger, Mordukhovich (bib10) 1980; 24 Dontchev A. L. & Rockafellar R. T., Characterizations of strong regularity for variational inequalities over polyhedral convex sets, SIAM J. Optim. (to appear). Jourani, Thibault (bib14) 1995; 347 Aubin (bib2) 1981 Poliquin, Rockafellar (bib39) 1996; 348 Penot (bib21) 1995 Vinter R. B. & Zheng H., The extended Euler-Lagrange condition for nonconvex variational problems, SIAM J. Control Optim. (to appear). Mordukhovich, Shao (bib11) 1997; 35 Mordukhovich, Shao (bib13) 1995 Henrion, Römisch (bib40) 1996 Avelin (bib42) 1996 Mordukhovich (bib5) 1988 Poliquin, Rockafellar (bib38) 1996 Jourani, Thibault (bib16) 1995 Mordukhovich (bib36) 1994; 31 Clarke (bib20) 1983 Mordukhovich (bib24) 1992 Mordukhovich B. (bib6) 1994; 183 Mordukhovich (bib30) 1995; 33 Mordukhovich, Shao (bib23) 1996; 348 Phelps (bib25) 1993; Vol. 1364 Mordukhovich, Shao (bib19) 1995; 24 Mordukhovich, Shao (bib27) 1996; 124 Mordukhovich B. S. & Shao Y., Mixed coderivatives of set-valued mappings in infinite dimensions, in preparation. Mordukhovich (10.1016/S0362-546X(96)00377-X_bib23) 1996; 348 Mordukhovich (10.1016/S0362-546X(96)00377-X_bib35) 1994; 343 Kruger (10.1016/S0362-546X(96)00377-X_bib10) 1980; 24 Smirnov (10.1016/S0362-546X(96)00377-X_bib28) 1991; 27 10.1016/S0362-546X(96)00377-X_bib22 10.1016/S0362-546X(96)00377-X_bib7 Aubin (10.1016/S0362-546X(96)00377-X_bib26) 1984; 9 Mordukhovich (10.1016/S0362-546X(96)00377-X_bib19) 1995; 24 Poliquin (10.1016/S0362-546X(96)00377-X_bib38) 1996 Robinson (10.1016/S0362-546X(96)00377-X_bib33) 1979; 10 Aubin (10.1016/S0362-546X(96)00377-X_bib2) 1981 Thibault (10.1016/S0362-546X(96)00377-X_bib8) 1983; 277 Mordukhovich (10.1016/S0362-546X(96)00377-X_bib27) 1996; 124 Ioffe (10.1016/S0362-546X(96)00377-X_bib18) 1996 10.1016/S0362-546X(96)00377-X_bib37 Mordukhovich (10.1016/S0362-546X(96)00377-X_bib24) 1992 10.1016/S0362-546X(96)00377-X_bib15 Henrion (10.1016/S0362-546X(96)00377-X_bib40) 1996 Mordukhovich (10.1016/S0362-546X(96)00377-X_bib30) 1995; 33 Phelps (10.1016/S0362-546X(96)00377-X_bib25) 1993; Vol. 1364 Aubin (10.1016/S0362-546X(96)00377-X_bib3) 1990 Loewen (10.1016/S0362-546X(96)00377-X_bib29) 1994; 32 Mordukhovich B. (10.1016/S0362-546X(96)00377-X_bib9) 1993; 340 Jourani (10.1016/S0362-546X(96)00377-X_bib14) 1995; 347 Mordukhovich (10.1016/S0362-546X(96)00377-X_bib11) 1997; 35 Mordukhovich (10.1016/S0362-546X(96)00377-X_bib13) 1995 Mordukhovich (10.1016/S0362-546X(96)00377-X_bib1) 1980; 22 Poliquin (10.1016/S0362-546X(96)00377-X_bib39) 1996; 348 10.1016/S0362-546X(96)00377-X_bib32 Mordukhovich (10.1016/S0362-546X(96)00377-X_bib12) 1996; 4 Jourani (10.1016/S0362-546X(96)00377-X_bib16) 1995 10.1016/S0362-546X(96)00377-X_bib31 Mordukhovich B. (10.1016/S0362-546X(96)00377-X_bib4) 1976; 40 Mordukhovich (10.1016/S0362-546X(96)00377-X_bib36) 1994; 31 Mordukhovich (10.1016/S0362-546X(96)00377-X_bib5) 1988 Penot (10.1016/S0362-546X(96)00377-X_bib21) 1995 Ioffe (10.1016/S0362-546X(96)00377-X_bib17) 1996 Clarke (10.1016/S0362-546X(96)00377-X_bib20) 1983 Mordukhovich (10.1016/S0362-546X(96)00377-X_bib34) 1994; 22 Mordukhovich B. (10.1016/S0362-546X(96)00377-X_bib6) 1994; 183 Henrion (10.1016/S0362-546X(96)00377-X_bib41) 1996 Avelin (10.1016/S0362-546X(96)00377-X_bib42) 1996 |
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| SubjectTerms | applications to optimization and control Banach and Asplund spaces coderivatives generalized differential calculus Lipschitzian stability sequential limits Set-valued and nonsmooth mappings |
| Title | coderivatives of set-valued mappings: Calculus and applications |
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