NEW SYSTEMS OF GENERALIZED QUASI-VARIATIONAL INCLUSIONS IN FC-SPACES AND APPLICATIONS

doi:10.1016/S0252-9602(11)60305-6

Abstract

Abstract:

In this paper, we study some new systems of generalized quasi-variational inclusion problems in FC-spaces without convexity structure. By applying an existence theorem of maximal elements of set-valued mappings due to the author, some new existence theorems of solutions for the systems of generalized quasi-variational inclusion problems are proved in noncompact FC-spaces. As applications, some existence results of solutions for the system of quasi-optimization problems and mathematical programs with the systems of generalized quasi-variational inclusion constraints are obtained in FC-spaces.

Key words: maximal element, system of generalized quasi-variational inclusion prob-lems, system of quasi-optimization problems, mathematical programs with systems of generalized quasi-variational inclusion constraints, FC-space

CLC Number:

47J22

DING Xie-Ping. NEW SYSTEMS OF GENERALIZED QUASI-VARIATIONAL INCLUSIONS IN FC-SPACES AND APPLICATIONS[J].Acta mathematica scientia,Series B, 2011, 31(3): 1142-1154.

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