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Generalized vector quasi-equilibrium problems with applications to common fixed point theorems and optimization problems |
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| Authors: | Lai-Jiu Lin Yu-Jen Huang |
| Institution: | Department of Mathematics, National Chuanghua University of Education, Changhua 50058, Taiwan |
| Abstract: | In this paper, we first establish the existence theorems of generalized vector quasi-equilibrium problems. From these results, we establish the existence theorems of common fixed point theorems for two multivalued maps and mathematical programs with an equilibrium constraint as applications. |
| Keywords: | Maximal pseudomonotone Equilibrium problem Generalized u-hemicontinuous (l-hemicontinuous) Upper (lower) semicontinuous multivalued map |
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