Optimal conditions for the lower semicontionuity of efficient solution mapping to parametric generalized set-vector equilibrium problems

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  • 1. Science and Technology College of Nanchang Hangkong University, Nanchang 330034, China 2. School of Sciences, Nanchang University, Nanchang 330031, China

Received date: 2016-05-31

  Online published: 2018-09-15

Abstract

The lower semicontionuity of weak efficient solution and efficient solution mappings to a class of parametric generalized set-vector equilibrium problems in real Hausdorff topological vector spaces are studied. Under the condition of nearly cone-subconvexlike, scalar characterization of weak efficient solution is given by using the scalar method. Under some suitable assumptions, the lower semicontionuity theorem of weak efficient solution and efficient solution mappings to the parametric generalized set-vector equilibrium problems are gained.

Cite this article

MENG Xudong, WANG Sanhua, GONG Xunhua .

Optimal conditions for the lower semicontionuity of efficient solution mapping to parametric generalized set-vector equilibrium problems
[J]. Operations Research Transactions, 2018 , 22(3) : 79 -88 . DOI: 10.15960/j.cnki.issn.1007-6093.2018.03.008

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