Existence and Stability of Solutions for Generalized Ky Fan Inequality Problems with Trifunctions

S. H. Hou (), X. H. Gong and X. M. Yang
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S. H. Hou: Hong Kong Polytechnic University
X. H. Gong: Nanchang University
X. M. Yang: Chongqing Normal University

Journal of Optimization Theory and Applications, 2010, vol. 146, issue 2, No 9, 387-398

Abstract: Abstract In this paper, an existence theorem for solutions to the generalized Ky Fan Inequality problem is obtained by means of the Kakutani-Fan-Glicksberg fixed-point theorem without imposing the condition that the dual of the ordering cone has a weak* compact base. In addition, the stability of the solution set is shown.

Keywords: Generalized Ky Fan inequality problems; Fixed-point theorems; C-continuity; Properly C-quasiconvex functions; Stability (search for similar items in EconPapers)
Date: 2010
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Citations: View citations in EconPapers (8)

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DOI: 10.1007/s10957-010-9656-7

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