Open AccessStability of Efficient Solutions for Semi-infinite Vector Optimization Problems
Author(s) -
Zai-Yun Peng,
Jianting Zhou
Publication year - 2016
Publication title -
the journal of nonlinear sciences and applications
Language(s) - English
Resource type - Journals
eISSN - 2008-1901
pISSN - 2008-1898
DOI - 10.22436/jnsa.009.05.109
Subject(s) - mathematics , stability (learning theory) , mathematical optimization , vector optimization , optimization problem , computer science , multi swarm optimization , machine learning
This paper is devoted to the study of the stability of efficient solutions for semi-infinite vector optimization problems (SIO). We first obtain the closedness, Berge-lower semicontinuity and Painlevé-Kuratowski convergence of constraint set mapping. Then, under the assumption of continuous convergence of the objective function, we establish some sufficient conditions of the upper Painlevé-Kuratowski stability of efficient solution mappings to the (SIO). Some examples are also given to illustrate the results. c ©2016 All rights reserved.
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