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题名: Systems of Vector Quasivariational Inclusions With Some Applications
作者: Lai-Jiu Lin;Q.H.Ansari;Y.J.Huang
贡献者: 數學系
关键词: Systems of vector variational inclusions;Systems of vector quasi-equilibrium problems;Mathematical programs with systems of vector
variational inclusion constraints;Bilevel problem;Common fixed point theorem
日期: 2008-11
上传时间: 2011-05-10T06:50:22Z
出版者: Elsevier Science
摘要: In this paper, we consider systems of vector quasi-variational inclusions which include systems of vector quasi-equilibrium
problems for multivalued maps, systems of vector optimization problems and several other systems as special cases. We establish
existence results for solutions of these systems. As applications of our results, we derive the existence results for solutions of
system vector optimization problems, mathematical programs with systems of vector variational inclusion constraints and bilevel
problems. Another application of our results provides the common fixed point theorem for a family of lower semicontinuous
multivalued maps. Further applications of our results for existence of solutions of systems of vector quasi-variational inclusions
are given to prove the existence of solutions of systems of Minty type and Stampacchia type generalized implicit quasi-variational
inequalities. The results of this paper can be seen as extensions and generalizations of several known results in the literature.
關聯: Nonlinear Analysis: Theory, Methods & Applications, 69(9):2812-2824
显示于类别:[數學系] 期刊論文

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