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Solutions of system of generalized vector quasi-equilibrium problems in locally G-convex uniform spaces |
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| Authors: | Xie-Ping Ding Jen-Chih Yao Lai-Jiu Lin |
| Institution: | a College of Mathematics and Software Science, Sichuan Normal University, Chengdu, Sichuan 610066, PR China b Department of Applied Mathematics, National Sun Yat-sen University, 804 Kaohsiung, Taiwan, ROC c Department of Mathematics, National Changhua University of Education, 50058 Changhua, Taiwan, ROC |
| Abstract: | In this paper we establish a collectively fixed point theorem and an equilibrium existence theorem for generalized games in product locally G-convex uniform spaces. As applications, some new existence theorems of solutions for the system of generalized vector quasi-equilibrium problems are derived in product locally G-convex uniform spaces. These theorems are new and generalize some known results in the literature. |
| Keywords: | Collectively fixed point Generalized game System of generalized vector quasi-equilibrium problems Locally G-convex uniform space |
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