Existence results for proper efficient solutions of vector equilibrium problems and applications

Authors:
Adela Capătă
Affiliations:
Department of Mathematics, Technical University of Cluj-Napoca, Cluj-Napoca, Romania 400020
Venue:
Journal of Global Optimization
Year:
2011

Citing 7
Cited 0

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Characterization of solutions for vector equilibrium problems

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Strong Vector Equilibrium Problems

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Abstract

In this paper, we present sufficient conditions for the existence of Henig efficient solutions, superefficient solutions and Henig globally efficient solutions of a vector equilibrium problem in topological vector spaces, using a well-known separation theorem in infinite dimensional spaces. As an application, using a scalarization technique, existence results for proper efficient solutions of generalized vector variational inequalities are given.