Systems of generalized vector quasi-variational inclusions and systems of generalized vector quasi-optimization problems in locally <Emphasis Type="Italic">FC</Emphasis>-uniform spaces |
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Authors: | Xie-ping Ding |
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Affiliation: | (1) College of Mathematics and Software Science, Sichuan Normal University, Chengdu, 610066, P. R. China |
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Abstract: | In this paper, we introduce some new systems of generalized vector quasi-variational inclusion problems and system of generalized
vector ideal (resp., proper, Pareto, weak) quasi-optimization problems in locally FC-uniform spaces without convexity structure. By using the KKM type theorem and Himmelberg type fixed point theorem proposed
by the author, some new existence theorems of solutions for the systems of generalized vector quasi-variational inclusion
problems are proved. As to its applications, we obtain some existence results of solutions for systems of generalized vector
quasi-optimization problems.
Project supported by the Natural Science Foundation of Sichuan Education Department of China (No. 07ZA092) and the Sichuan
Province Leading Academic Discipline Project (No. SZD0406) |
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Keywords: | KKM type theorem Himmelberg type fixed point theorem system of generalized vector quasi-variational inclusions system of generalized vector optimization problems locally FC-uniform space |
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