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

S. J. Li () and Z. M. Fang ()
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S. J. Li: Chongqing University
Z. M. Fang: Chongqing University

Journal of Optimization Theory and Applications, 2010, vol. 147, issue 3, No 7, 507-515

Abstract: Abstract 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.

Keywords: Lower semicontinuity; Parametric generalized Ky Fan inequality; Weak vector solution; Global vector solution; Scalarization (search for similar items in EconPapers)
Date: 2010
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Citations: View citations in EconPapers (6)

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DOI: 10.1007/s10957-010-9736-8

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