Necessary efficiency conditions for the local superefficient solutions of vector equilibrium problems with general inequality constraints and applications
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Abstract
In this article, we use the concept of Studniarski’s derivatives in Banach spaces with a class of non-smooth functions to establish necessary efficiency conditions for the local superefficient solution of vector equilibrium problem with a set constraint and a general inequality constraint. The obtained results are directly applied to the vector variational inequality problem and the vector optimization problem with their common set and general inequality constraints.
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This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.
Keywords
Necessary efficiency conditions, Vector equilibrium problems, Vector optimization problems, Vector variational inequality problems, Local superefficient solutions, Studniarski’s derivatives
References
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