数学物理学报(英文版) ›› 2011, Vol. 31 ›› Issue (3): 1142-1154.doi: 10.1016/S0252-9602(11)60305-6

• 论文 • 上一篇    下一篇

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

丁协平   

  1. College of Mathematics and Software Science, Sichuan Normal University, Chengdu 610068, China
  • 收稿日期:2008-09-13 修回日期:2010-04-07 出版日期:2011-05-20 发布日期:2011-05-20
  • 基金资助:

    This project was supported by the Scientific Research Fun of Sichuan Normal University (09ZDL04) and the Sichuan Province Leading Academic Discipline Project (SZD0406).

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

 DING Xie-Ping   

  1. College of Mathematics and Software Science, Sichuan Normal University, Chengdu 610068, China
  • Received:2008-09-13 Revised:2010-04-07 Online:2011-05-20 Published:2011-05-20
  • Supported by:

    This project was supported by the Scientific Research Fun of Sichuan Normal University (09ZDL04) and the Sichuan Province Leading Academic Discipline Project (SZD0406).

摘要:

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.

关键词: 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

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

中图分类号: 

  • 47J22