Systems of variational inclusions and optimization problems in locally FC-uniform spaces

doi:10.1007/s10483-009-0301-z

Abstract

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.

Key words: 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

2010 MSC Number:

Xie-Ping DING . Systems of variational inclusions and optimization problems in locally FC-uniform spaces. Applied Mathematics and Mechanics (English Edition), 2009, 30(3): 263-274.

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References

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