Systems of generalized quasi-variational inclusion (disclusion) problems in FC-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)》2010年第5期545-556,共12页应用数学和力学（英文版）

基　　金：Project supported by the Scientific Research Fund of Sichuan Normal University (No. 09ZDL04);the Sichuan Province Leading Academic Discipline Project (No. SZD0406)

摘　　要：By applying an existence theorem of maximal elements of set-valued mappings in FC-spaces proposed by the author, some new existence theorems of solutions for systems of generalized quasi-variational inclusion （disclusion） problems are proved in FC-spaces without convexity structures. These results improve and generalize some results in recent publications from closed convex subsets of topological vector spaces to FC-spaces under weaker conditions.By applying an existence theorem of maximal elements of set-valued mappings in FC-spaces proposed by the author, some new existence theorems of solutions for systems of generalized quasi-variational inclusion （disclusion） problems are proved in FC-spaces without convexity structures. These results improve and generalize some results in recent publications from closed convex subsets of topological vector spaces to FC-spaces under weaker conditions.

关 键 词：maximal element system of generalized quasi-variational inclusion （disclusion） problems partially diagonally quasi-convex partially diagonally quasi-concave FC-space 

分 类 号：O189.11[理学—数学]