Systems of Generalized Vector Quasi-Variational Inclusions and Systems of Generalized Vector Quasi-Optimization Problems in Locally FC-Uniform Spaces

DING Xie-ping

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Article Navigation > Applied Mathematics and Mechanics > 2009 > 30(3): 253-264

DING Xie-ping. Systems of Generalized Vector Quasi-Variational Inclusions and Systems of Generalized Vector Quasi-Optimization Problems in Locally FC-Uniform Spaces[J]. Applied Mathematics and Mechanics, 2009, 30(3): 253-264.

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Systems of Generalized Vector Quasi-Variational Inclusions and Systems of Generalized Vector Quasi-Optimization Problems in Locally FC-Uniform Spaces

DING Xie-ping

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

Received Date: 2008-09-24
Rev Recd Date: 2009-01-21
Publish Date: 2009-03-15

Abstract

Abstract

Some new systems of generalized vector quasivariational inclusion problems and system of generalized vector ideal(resp., proper, Pareto, weak) quasioptimization problems in locally FC-uniform spaces without convexity structure are introduced and studied. By using KKM type theorem and Himmelberg type fixed point theorem, some new existence theorems of solutions for the systems of generalized vector quasivariational inclusion problems were first proved. As applications, some new existence results of solutions for systems of generalized vector quasioptimization problems were obtained also.

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References

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