On Optimality Conditions for Henig Efficiency and Superefficiency in Vector Equilibrium Problems

Necessary optimality conditions for local Henig efficient and superefficient solutions of vector equilibrium problems involving equality, inequality, and set constraints in Banach space with locally Lipschitz functions are established under a suitable constraint qualification via the Michel-Penot su...

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Bibliographic Details
Published inNumerical functional analysis and optimization Vol. 39; no. 16; pp. 1833 - 1854
Main Authors Luu, Do Van, Mai, Tran Thi
Format Journal Article
LanguageEnglish
Published Abingdon Taylor & Francis 10.12.2018
Taylor & Francis Ltd
Subjects
Banach spaces
Clarke subdifferential
Convexity
local Henig efficient solutions
local superefficient solutions
Michel-Penot subdifferential
Nonlinear programming
vector equilibrium problems
vector optimization problems
vector variational inequalities
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Summary:Necessary optimality conditions for local Henig efficient and superefficient solutions of vector equilibrium problems involving equality, inequality, and set constraints in Banach space with locally Lipschitz functions are established under a suitable constraint qualification via the Michel-Penot subdifferentials. With assumptions on generalized convexity, necessary conditions for Henig efficiency and superefficiency become sufficient ones. Some applications to vector variational inequalities and vector optimization problems are given as well.
ISSN:0163-0563
1532-2467
DOI:10.1080/01630563.2018.1501580