Necessary efficiency conditions for the local superefficient solutions of vector equilibrium problems with general inequality constraints and applications

Van Su Tran1, Thanh Phong Nguyen1, Ngoc Quoc Tran1, Thi Bich Lai Nguyen1
1 Quang Nam University

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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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References

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