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

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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.

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Authors and Affiliations

  1. Department of Applied Mathematics, Hong Kong Polytechnic University, Hong Kong, China

    S. H. Hou

  2. Department of Mathematics, Nanchang University, Nanchang, 330047, China

    X. H. Gong

  3. Department of Mathematics, Chongqing Normal University, Chongqing, 400047, China

    X. M. Yang

Authors
  1. S. H. Hou
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  2. X. H. Gong
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  3. X. M. Yang
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Corresponding author

Correspondence to S. H. Hou.

Additional information

Communicated by F. Giannessi.

This research was partially supported by the Research Committee of Hong Kong Polytechnic University, National Natural Science Foundation of China, NCET, Natural Science Foundation of Chongqing, and Natural Science Foundation of Jiangxi Province, China.

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Hou, S.H., Gong, X.H. & Yang, X.M. Existence and Stability of Solutions for Generalized Ky Fan Inequality Problems with Trifunctions. J Optim Theory Appl 146, 387–398 (2010). https://doi.org/10.1007/s10957-010-9656-7

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  • DOI: https://doi.org/10.1007/s10957-010-9656-7

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