Optimality Condition for Local Efficient Solutions of Vector Equilibrium Problems via Convexificators and Applications

Optimality Condition for Local Efficient Solutions of Vector Equilibrium Problems via Convexificators and Applications

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Article ID: iaor20163663
Volume: 171
Issue: 2
Start Page Number: 643
End Page Number: 665
Publication Date: Nov 2016
Journal: Journal of Optimization Theory and Applications
Authors:
Keywords: heuristics, programming: convex
Abstract:

Fritz John and Karush–Kuhn–Tucker necessary conditions for local efficient solutions of constrained vector equilibrium problems in Banach spaces in which those solutions are regular in the sense of Ioffe via convexificators are established. Under suitable assumptions on generalized convexity, sufficient conditions are derived. Some applications to constrained vector variational inequalities and constrained vector optimization problems are also given.

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