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Please use this identifier to cite or link to this item: http://ir.ncue.edu.tw/ir/handle/987654321/8931

Title: From Quasi-variational Inclusion Problems to Stampacchia Vector Quasi-equilibrium Problems ,Stampacchia Set-valued Vector Ekeland's Variational Principle and Caristi's Fixed Point Theorem
Authors: Lai-Jiu Lin;Chih sheng Chuang;Sung- Yu Wang
Contributors: 數學系
Keywords: Caristi's fixed point theorem;Variational inclusion problem;Stampacchia generalized vector;quasiequilibrium problem;Stampacchia set-valued vector Ekeland's;variational principle
Date: 2009-07
Issue Date: 2011-05-10T06:51:01Z
Publisher: Elsevier Science
Abstract: In this paper, we first study existence theorems of solution for quasivariational inclusion
problems. We apply existence theorems of solution for quasivariational inclusion problem
to study the existence theorems of solution for the Stampacchia generalized vector
quasiequilibrium problems and Stampacchia vector quasiequilibrium problems. Our
results and approach to the Stampacchia generalized vector quasiequilibrium problem
are different from any existence results of this type of problem. Finally, we apply the
existence theorems of solution for the Stampacchia vector quasiequilibrium problems to
study simultaneous solutions of Caristi's fixed point theorem and the Stampacchia setvalued
vector Ekeland's variational principle. Our results on Stampacchia set-valued vector
Ekeland's variational principle are different from any existence results of these types of
problems.
Relation: Nonlinear Analysis: Theory, Methods & Applications, 71(1-2):179-185
Appears in Collections:[數學系] 期刊論文

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