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Generalized KKM type theorems in FC-spaces with applications (II)

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Abstract

This paper is a continuum of the preceding paper of author. By applying a coincidence theorem in noncompact FC-space without any convexity structure due to author, a new KKM type theorem is first proved under noncompact setting of FC-spaces. The equivalent relation between the coincidence theorem and the KKM type theorem is also established. As applications of the KKM type theorem, we establish some new existence theorems of solutions for three classes of generalized vector equilibrium problems under noncompact setting of FC-spaces. These theorems improve and generalize many known results in literature.

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Authors and Affiliations

  1. College of Mathematics and Software Science, Sichuan Normal University, Chengdu, Sichuan, 610066, P. R. China

    Xie Ping Ding

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  1. Xie Ping Ding
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Ding, X.P. Generalized KKM type theorems in FC-spaces with applications (II). J Glob Optim 38, 367–385 (2007). https://doi.org/10.1007/s10898-006-9070-8

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  • DOI: https://doi.org/10.1007/s10898-006-9070-8

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