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

Z. Y. Peng (), X. M. Yang () and J. W. Peng
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Z. Y. Peng: Inner Mongolia University
X. M. Yang: Chongqing Normal University
J. W. Peng: Chongqing Normal University

Journal of Optimization Theory and Applications, 2012, vol. 152, issue 1, No 14, 256-264

Abstract: Abstract In this paper, we obtain some stability results for parametric weak generalized Ky Fan Inequality with set-valued mappings. Under new assumptions, which are weaker than the assumption of C-strict monotonicity, we provide sufficient conditions for the lower semicontinuity of the solution maps to two classes of parametric weak generalized Ky Fan Inequalities in Hausdorff topological vector spaces. These results extend and improve some results in the literature.

Keywords: Stability; Lower semicontinuity; f-efficient solutions; Parametric weak generalized Ky Fan inequalities; Scalarization (search for similar items in EconPapers)
Date: 2012
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Citations: View citations in EconPapers (4)

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DOI: 10.1007/s10957-011-9883-6

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