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

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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.

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  1. Department of Mathematics, Technical University of Cluj-Napoca, Str. Constantin Daicoviciu 15, 400020, Cluj-Napoca, Romania

    Adela Capătă

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Capătă, A. Existence results for proper efficient solutions of vector equilibrium problems and applications. J Glob Optim 51, 657–675 (2011). https://doi.org/10.1007/s10898-011-9649-6

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  • DOI: https://doi.org/10.1007/s10898-011-9649-6

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