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

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

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Article ID: iaor201110505
Volume: 51
Issue: 4
Start Page Number: 657
End Page Number: 675
Publication Date: Dec 2011
Journal: Journal of Global Optimization
Authors:
Keywords: programming: multiple criteria
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.

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