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

作者：Ding Xieping^*

来源：Acta Mathematica Scientia, 2011, 31(3): 1142-1154.

• maximal element
• system of generalized quasi-variational inclusion problems
• system of quasi-optimization problems
• mathematical programs with systems of generalized quasi-variational inclusion constraints
• FC-space

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.

• 出版日期2011-5
• 单位四川师范大学