Výsledky vyhledávání - nondifferentiable and nonconvex multi-objective programming (problem OR problems)
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Zdroj: Journal of Optimization Theory and Applications. 106:475-488
Témata: generalized solutions, fixed points, vector optimization problems, 0101 mathematics, subinvex functions, variational-like inequalities, h-subdifferential, 01 natural sciences, Multi-objective and goal programming
Popis souboru: application/xml
Přístupová URL adresa: http://faculty.kfupm.edu.sa/math/qhansari/papers(PDF)(PS)/JOTA106(3)(2000)475-488.pdf
https://link.springer.com/article/10.1023/A%3A1004697127040
https://ideas.repec.org/a/spr/joptap/v106y2000i3d10.1023_a1004697127040.html -
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Témata: subgradient duality, nondifferentiable and nonconvex multi-objective programming problem, Sensitivity, stability, parametric optimization, subdifferential, Duality theory (optimization)
Popis souboru: application/xml
Přístupová URL adresa: https://zbmath.org/3910154
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Autoři: Antczak, Tadeusz
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Témata: HYPOTHESIS, GOAL programming
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Autoři: Antczak, Tadeusz
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Témata: CONVEX functions, NONLINEAR equations, HYPOTHESIS
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Zdroj: Optimization; Jul2023, Vol. 72 Issue 7, p1745-1775, 31p
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Témata: keyword:interval-valued vector optimization problem, keyword:quasidifferentiable $\mathfrak {F}$-convexity, keyword:LU-Pareto optimality, msc:49J52, msc:90C26, msc:90C29, msc:90C30
Popis souboru: application/pdf
Relation: reference:[1] Antczak, T.: Optimality conditions in quasidifferentiable vector optimization.J. Optim. Theory Appl. 171 (2016), 708-725. MR 3557446; reference:[2] Antczak, T.: Optimality conditions and duality results for nonsmooth vector optimization problems with the multiple interval-valued objective function.Acta Math. Scientia 37 (2017), 1133-1150. MR 3657212; reference:[3] Bhatia, D., Jain, P.: Generalized (F,$\rho$)-convexity and duality for nonsmooth multi-objective programs.Optimization 31 (1994), 239-244.; reference:[4] Bhurjee, A. K., Panda, G.: Efficient solution of interval optimization problem.Math. Methods Oper. Res. 76 (2012), 273-288. MR 3000987; reference:[5] Bolintinéanu, S.: Approximate efficiency and scalar stationarity in unbounded nonsmooth convex vector optimization problems.J. Optim. Theory Appl. 106 (2000), 265-296. MR 1788925; reference:[6] Brandao, A. J. V., Rojas-Medar, M. A., Silva, G. 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Nauk SSSR 250 (1980), 21-25 (translated in Soviet Mathematics Doklady 21 (1980), 14-17.) MR 0556111; reference:[13] Demyanov, V. F., Rubinov, A. M.: On some approaches to the non-smooth optimization problem.Ekonom. Matem. Metody 17 (1981), 1153-1174. MR 0653043; reference:[14] Abdouni, B. El., Thibault, L.: Lagrange multipliers for Pareto nonsmooth programming problems in Banach spaces.Optimization 26 (1992), 277-285. MR 1236612; reference:[15] Eppler, K., Luderer, B.: The Lagrange principle and quasidifferential calculus.Wissenschaftliche Zeitschrift der Technischen Hochschule Karl-Marx-Stadt 29 (1987), 187-192. MR 0909080; reference:[16] Gao, Y.: Demyanov's difference of two sets and optimality conditions in Lagrange multiplier type for constrained quasidifferentiable optimization.J. Optim. Theory Appl. 104 (2000), 377-394. MR 1752323; reference:[17] Gao, Y.: Optimality conditions with Lagrange multipliers for inequality constrained quasidifferentiable optimization.In: Quasidifferentiability and Related Topics (V. Demyanov and A. Rubinov, eds.), Kluwer Academic Publishers 2000, pp. 151-162. MR 1766796; reference:[18] Huang, N. J., Li, J., Wu, S. Y.: Optimality conditions for vector optimization problems.J. Optim. Theory Appl. 142 (2009), 323-342. MR 2525793; reference:[19] Jayswal, A., Stancu-Minasian, I. M., Ahmad, I.: On sufficiency and duality for a class of interval-valued programming problems.Appl. Math. Comput. 218 (2011), 4119-4127. MR 2862082; reference:[20] Jeyakumar, V., Yang, X. Q.: Convex composite multi-objective nonsmooth programming.Math. Program. 59 (1993), 325-343. MR 1226821; reference:[21] Kanniappan, P.: Necessary conditions for optimality of nondifferentiable convex multiobjective programming.J. Optim. Theory Appl. 40 (1983), 167-174. MR 0703314; reference:[22] Kuntz, L., Scholtes, S.: Constraint qualifications in quasidifferentiable optimization.Math. Program. 60 (1993), 339-347. MR 1234879; reference:[23] Luc, D. T.: Theory of Vector Optimization.Lect. Notes Econom. Math. Systems 319 Springer, Berlin 1989. Zbl 0654.90082, MR 1116766, 10.1007/978-3-642-50280-4_3; reference:[24] Luderer, B., Rösiger, R.: On Shapiro's results in quasidifferential calculus.Math. Program. 46 (1990), 403-407. MR 1054147; reference:[25] Miettinen, K. M.: Nonlinear Multiobjective Optimization.International Series in Operations Research and Management Science 12, Kluwer Academic Publishers, Boston 2004. MR 1784937; reference:[26] Minami, M.: Weak Pareto-optimal necessary conditions in nondifferentiable multiobjective program on a Banach space.J. Optim. Theory Appl. 41 (1983), 451-461. MR 0728312; reference:[27] Polyakova, L. N.: On the minimization of a quasidifferentiable function subject to equality-type constraints.Math. Program. Studies 29 (1986), 44-55. MR 0837885; reference:[28] Shapiro, A.: On optimality conditions in quasidifferentiable optimization.SIAM Control Appl. 22 (1984), 610-617. MR 0747972; reference:[29] Sun, Y., Wang, L.: Optimality conditions and duality in nondifferentiable interval-valued programming.J. Industr. Management Optim. 9 (2013), 131-142. MR 3003020, 10.3934/jimo.2013.9.131; reference:[30] Uderzo, A.: Quasi-multipliers rules for quasidifferentiable extremum problems.Optimization 51 (2002), 761-795. MR 1941714; reference:[31] Wang, S.: Lagrange conditions in nonsmooth and multiobjective mathematical programming.Math. Econom. 1 (1984), 183-193.; reference:[32] Ward, D. E.: A constraint qualification in quasidifferentiable programming.Optimization 22 (1991), 661-668. MR 1120494; reference:[33] Wu, H. C.: The Karush-Kuhn-Tucker optimality conditions in an optimization problem with interval-valued objective function.European J. Oper. Res. 176 (2007), 46-59. MR 2265133; reference:[34] Xia, Z. Q., Song, C. L., Zhang, L. W.: On Fritz John and KKT necessary conditions of constrained quasidifferentiable optimization.Int. J. Pure Appl. Math. 23 (2005), 299-310. MR 2176203; reference:[35] Zhang, J., Liu, S., Li, L., Feng, Q.: The KKT optimality conditions in a class of generalized convex optimization problems with an interval-valued objective function.Optim. Lett. 8 (2014), 607-631. MR 3163292, 10.1007/s11590-012-0601-6; reference:[36] Zhou, H. C., Wang, Y. J.: Optimality condition and mixed duality for interval-valued optimization.In: Fuzzy Information and Engineering, Vol. 2, Advances in Intelligent and Soft Computing 62, Proc. Third International Conference on Fuzzy Information and Engineering (ICFIE 2009), Springer 2009, pp. 1315-1323. MR 2461173
Dostupnost: http://hdl.handle.net/10338.dmlcz/152989
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