Lower Semicontinuity of the Solution Mappings to a Parametric Generalized Ky Fan Inequality

In this paper, we investigate weak vector solutions and global vector solutions to a generalized Ky Fan inequality. Under new assumptions, which are weaker than the assumption of strict C -mappings, we establish the lower semicontinuity of the solution mappings to a parametric generalized Ky Fan ine...

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Bibliographic Details
Published in:Journal of optimization theory and applications 2010-12, Vol.147 (3), p.507-515
Main Authors: Li, S. J., Fang, Z. M.
Format: Article
Language:English
Subjects:
Applications of Mathematics
Calculus of variations and optimal control
Calculus of Variations and Optimal Control
Optimization
Engineering
Exact sciences and technology
Inequality
Mapping
Mathematical analysis
Mathematics
Mathematics and Statistics
Operations Research/Decision Theory
Optimization
Sciences and techniques of general use
Studies
Theory of Computation
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Summary:In this paper, we investigate weak vector solutions and global vector solutions to a generalized Ky Fan inequality. Under new assumptions, which are weaker than the assumption of strict C -mappings, we establish the lower semicontinuity of the solution mappings to a parametric generalized Ky Fan inequality by using a scalarization method. These results extend the corresponding ones in the literature. Some examples are given to illustrate our results.
ISSN:0022-3239
1573-2878
DOI:10.1007/s10957-010-9736-8