Fixed points and generalized vector equilibra in general topological spaces

Jong Yeol, Park and Xie, Ping Ding (2003) Fixed points and generalized vector equilibra in general topological spaces. ACTA MATHEMATICA ACADEMIAE PAEDAGOGICAE NYÍREGYHÁZIENSIS, 19 (1). pp. 89-100. ISSN 0866-0174

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Abstract

In this paper, we first generalize a fixed point theorem due to Tarafdar from topological vector spaces to general topological spaces without linear structure. By using our new fixed point theorem, some new existence theorems of solutions for generalized vector equilibrium problems and generalized implicit vector variational inequality problems are proved under noncompact settings of general topological spaces. Some special cases of our results are also discussed.

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