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LOWER SEMICONTINUITY OF PARAMETRIC GENERALIZED WEAK VECTOR EQUILIBRIUM PROBLEMS

Part of: Optimality conditions

Published online by Cambridge University Press:  02 October 2009

SHENG-JIE LI ,
HUI-MIN LIU  and
CHUN-RONG CHEN
SHENG-JIE LI
Affiliation:
College of Mathematics and Science, Chongqing University, Chongqing, 400030, PR China (email: lisj@cqu.edu.cn)
HUI-MIN LIU
Affiliation:
College of Mathematics and Science, Chongqing University, Chongqing, 400030, PR China (email: lhmmath@163.com)
CHUN-RONG CHEN*
Affiliation:
College of Mathematics and Science, Chongqing University, Chongqing, 400030, PR China (email: chencr1981@163.com)
*
✉For correspondence; e-mail: chencr1981@163.com
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Abstract

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In this paper, using a scalarization method, we obtain sufficient conditions for the lower semicontinuity and continuity of the solution mapping to a parametric generalized weak vector equilibrium problem with set-valued mappings.

Keywords

lower semicontinuitysolution mappingsparametric generalized weak vector equilibrium problemsscalarization

MSC classification

Secondary: 49K40: Sensitivity, stability, well-posedness

Information

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 81 , Issue 1 , February 2010 , pp. 85 - 95
Copyright
Copyright © Australian Mathematical Publishing Association Inc. 2009

Footnotes

This research was partially supported by the National Natural Science Foundation of China (Grant number: 10871216).

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