Efficient solutions and optimality conditions for vector equilibrium problems

Do Luu () and Dinh Hang

Mathematical Methods of Operations Research, 2014, vol. 79, issue 2, 163-177

Abstract: Necessary optimality conditions for efficient solutions of unconstrained and vector equilibrium problems with equality and inequality constraints are derived. Under assumptions on generalized convexity, necessary optimality conditions for efficient solutions become sufficient optimality conditions. Note that it is not required here that the ordering cone in the objective space has a nonempty interior. Copyright Springer-Verlag Berlin Heidelberg 2014

Keywords: Efficient solutions; Quasirelative interiors; Quasiinteriors; Clarke subdifferentials; Dini subdifferentials; $$\partial $$ ∂ -Pseudoconvex functions; $$\partial _D$$ ∂ D -Quasiconvex functions; 90C46; 91B50; 49J52 (search for similar items in EconPapers)
Date: 2014
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DOI: 10.1007/s00186-013-0457-2

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