Systems of generalized vector quasi-variational inclusions and systems of generalized vector quasi-optimization problems in locally FC-uniform spaces  

作　　者：丁协平 

机构地区：[1]College of Mathematics and Software Science,Sichuan Normal University

出　　处：《Applied Mathematics and Mechanics(English Edition)》2009年第3期263-274,共12页应用数学和力学（英文版）

基　　金：supported by the Natural Science Foundation of Sichuan Education Department of China(No. 07ZA092);the Sichuan Province Leading Academic Discipline Project (No. SZD0406)

摘　　要：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.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.

关 键 词：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 

分 类 号：O176.3[理学—数学]