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New systems of generalized vector quasi-equilibrium problems in product FC-spaces

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Abstract

The notions of C i (x)-FC-diagonally quasiconvex, C i (x)-FC-quasiconvex and C i (x)-FC-quasiconvex-like for set-valued mappings are introduced in FC-spaces without convexity structure. By applying these notions and a maximal element theorem for a family of set-valued mappings on product FC-space due to author, some new existence theorems of solutions for four new classes of systems of generalized vector quasi-equilibrium problems are proved in noncompact FC-spaces. These results improve and generalize some recent known results in literature to noncompact FC-spaces.

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Authors and Affiliations

  1. College of Mathematics and Software Science, Sichuan Normal University, 610066, Chengdu, Sichuan, People’s Republic of China

    Xie Ping Ding

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  1. Xie Ping Ding
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Ding, X.P. New systems of generalized vector quasi-equilibrium problems in product FC-spaces. J Glob Optim 46, 133–146 (2010). https://doi.org/10.1007/s10898-009-9413-3

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  • DOI: https://doi.org/10.1007/s10898-009-9413-3

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