Efficient solutions and optimality conditions for vector equilibrium problems
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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.
KeywordsEfficient solutions Quasirelative interiors Quasiinteriors Clarke subdifferentials Dini subdifferentials \(\partial \)-Pseudoconvex functions \(\partial _D\)-Quasiconvex functions
Mathematics Subject Classification (2000)90C46 91B50 49J52
The authors would like to thank the referees for their valuable comments and suggestions.
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