Stability of Efficient Solutions for Semi-infinite Vector Optimization Problems
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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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ISRP Style
Zai-Yun Peng, Jian-Ting Zhou, Stability of Efficient Solutions for Semi-infinite Vector Optimization Problems, Journal of Nonlinear Sciences and Applications, 9 (2016), no. 5, 3203--3211
AMA Style
Peng Zai-Yun, Zhou Jian-Ting, Stability of Efficient Solutions for Semi-infinite Vector Optimization Problems. J. Nonlinear Sci. Appl. (2016); 9(5):3203--3211
Chicago/Turabian Style
Peng, Zai-Yun, Zhou, Jian-Ting. "Stability of Efficient Solutions for Semi-infinite Vector Optimization Problems." Journal of Nonlinear Sciences and Applications, 9, no. 5 (2016): 3203--3211
Keywords
- Upper Painlevé-Kuratowski stability
- semi-infinite vector optimization
- perturbation
- efficient solution
- continuous convergence.
MSC
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