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KKM type theorems and generalized vector equilibrium problems in noncompact FC-spaces |
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| Authors: | Xie Ping Ding Ti Ming Ding |
| Affiliation: | a College of Mathematics and Software Science, Sichuan Normal University, Chengdu, Sichuan 610066, China b Department of Mathematics, Sichuan Agricultural University, Yaan, Sichuan 625014, China |
| Abstract: | A new KKM type theorem is first proved under noncompact setting of FC-spaces. As applications of the KKM type theorem, we establish some new existence theorems of solutions for generalized vector equilibrium problems under noncompact setting of FC-spaces. These theorems improve and generalize many known results in literature. |
| Keywords: | KKM type theorem Generalized vector equilibrium problem Transfer compactly open-valued (closed-valued) mapping FC-space |
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