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Efficient solutions and optimality conditions for vector equilibrium problems

Năm XB 2014 Tạp chí / Hội thảo Mathematical Methods of Operations Research Volume 79 (2) DOI / Link https://doi.org/10.1007/s00186-013-0457-2 ↗

Tác giả

Tài liệu tham khảo

[1] Borwein JM, Lewis A (1992) Partially-finite convex programming, Part 1: Quasirelative interiors and duality theory. Math. Programming 57:15–48

[2] Cammaroto F, Di Bella B (2005) Separation theorem based on the quasirelative interior and application to duality theory. J. Optim. Theory Appl. 125:223–229

[3] Chen G-Y, Craven BD (1989) Approximate dual and approximate vector variational inequality for multiobjective optimization. J. Austral. Math. Soc. Ser. A 47:418–423

[4] Clarke FH (1983) Optimization and Nonsmooth Analysis. Wiley Interscience, New York

[5] Daniele P (2008) Lagrange multipliers and infinite-dimensional equilibrium problems. J. Glob. Optim. 40:65–70

[6] Giannessi F, Mastroeni G, Pellegrini L (2000) On the theory of vector optimization and variational inequalities, image space analysis and separation. In: Giannessi F (ed) Vector Variational Inequalities and Vector Equilibria: Mathematical Theories. Kluwer, Dordrecht, pp 153–215

[7] Girsanov IV (1972) Lectures on Mathematical Theory of Extremum Problems. Springer-Verlag, Berlin-Heidenberg

[8] Gong XH (2008) Optimality conditions for vector equilibrium problems. J. Math. Anal. Appl. 342:1455–1466

[9] Gong XH (2010) Scalarization and optimality conditions for vector equilibrium problems. Nonlinear Anal. 73:3598–3612

[10] Gong XH (2012) Optimality conditions for efficient solution to the vector equilibrium problems with constraints. Taiwanese J. Math. 16:1453–1473

[11] Jiménez B, Novo V (2003) Optimality conditions in directionally differentiable Pareto problems with a set constraint via tangent cones. Numer. Funct. Anal. Optim. 24:557–574

[12] Ma BC, Gong XH (2011) Optimality conditions for vctor equilibrium problems in normed spaces. Optimization 60:1441–1455

[13] Morgan J, Romaniello M (2006) Scalarization and Kuhn-Tucker-like conditions for weak vector generalized quasivariational inequalities. J. Optim. Theory Appl. 130:309–316

[14] Qiu QS (2009) Optimality conditions for vector equilibrium problems with constraints. J. Ind. Manag. Optim. 5:783–790

[15] Reiland TW (1987) A geometric approach to nonsmooth optimization with sample applications. Nonlinear Anal. 11:1169–1184

[16] Ward DE, Lee GM (2002) On relations between vector optimization problems and vector variational inequalities. J. Optim. Theory Appl. 113:583–596

[17] Wei ZF, Gong XH (2010) Kuhn-Tucker optimality conditions for vector equilibrium problems, J. Inequal. Appl., ID: 842715

[18] Yang XQ (1993) Generalized convex functions and vector variational inequalities. J. Optim. Theory Appl. 79:563–580

[19] Yang XQ, Zheng XY (2008) Approximate solutions and optimality conditions of vector variational inequalities in Banch spaces. J. Global Optim. 40:455–462