Continuity of approximate solution mappings for parametric equilibrium problems

Authors:
X. B. Li;S. J. Li
Affiliations:
College of Mathematics and Statistics, Chongqing University, Chongqing, China 401331;College of Mathematics and Statistics, Chongqing University, Chongqing, China 401331
Venue:
Journal of Global Optimization
Year:
2011

Citing 4
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Abstract

In this paper, we obtain sufficient conditions for Hausdorff continuity and Berge continuity of an approximate solution mapping for a parametric scalar equilibrium problem. By using a scalarization method, we also discuss the Berge lower semicontinuity and Berge continuity of a approximate solution mapping for a parametric vector equilibrium problem.