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Topological pseudomonotonicity and vector equilibrium problems |
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| Authors: | O. Chadli Y. Chiang S. Huang |
| Affiliation: | a Department of Mathematics, University Cadi Ayyad, Faculty of Sciences Semlalia, Marrakesh, Morocco;b Department of Applied Mathematics, National Sun Yat-sen University, Kaohsiung 80424, Taiwan, ROC;c Department of Applied Mathematics, National Donghwa University, Hualien 974, Taiwan, ROC |
| Abstract: | In this paper, we introduce the topological pseudomonotonicity to vector valued bifunctions, and derive some existence results for vector equilibrium problems with the corresponding bifunctions topologically pseudomonotone. Some applications to vector variational inequalities and existence of Pareto optima are given. |
| Keywords: | Vector equilibrium problem Vector variational inequality Pareto optima Fan– KKM theorem Vector topological pseudomonotonicity |
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