Stability of Efficient Solutions for Semi-infinite Vector Optimization Problems

Volume 9, Issue 5, pp 3203--3211 http://dx.doi.org/10.22436/jnsa.009.05.109

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Authors

Zai-Yun Peng - College of Mathematices and Statistices, Chongqing JiaoTong University, Chongqing 400074, P. R. China. Jian-Ting Zhou - College of Civil Engineering, Chongqing JiaoTong University, Chongqing 400074, P. R. China.

Abstract

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.

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Keywords

• Upper Painlevé-Kuratowski stability
• semi-infinite vector optimization
• perturbation
• efficient solution
• continuous convergence.

MSC

•  49K40
•  90C29
•  90C31.

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