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NCUEIR > College of Science > math > Periodical Articles >  Item 987654321/8920

Please use this identifier to cite or link to this item: http://ir.ncue.edu.tw/ir/handle/987654321/8920

Title: Systems of Vector Quasivariational Inclusions With Some Applications
Authors: Lai-Jiu Lin;Q.H.Ansari;Y.J.Huang
Contributors: 數學系
Keywords: 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
Date: 2008-11
Issue Date: 2011-05-10T06:50:22Z
Publisher: Elsevier Science
Abstract: 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.
Relation: Nonlinear Analysis: Theory, Methods & Applications, 69(9):2812-2824
Appears in Collections:[math] Periodical Articles

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