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An intersection theorem in L-convex spaces with applications |
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| Authors: | Haishu Lu Deshan Tang |
| Affiliation: | a Business School of Hohai University, Nanjing 210098, Jiangsu, PR China b College of Water Conservancy and Hydropower Engineering, Hohai University, Nanjing 210098, Jiangsu, PR China |
| Abstract: | A new intersection theorem is obtained in L-convex spaces without linear structure. As its applications, a fixed point theorem, a maximal element theorem, a coincidence theorem, some new minimax inequalities and a saddle point theorem are given in L-convex spaces. Our results generalize many known theorems in the literature. |
| Keywords: | Intersection theorem Fixed point Maximal element Coincidence theorem Minimax inequality L-quasiconcave (quasiconvex) Transfer compactly closed-valued (open-valued) |
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