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Coincidence theorem for admissible set-valued mappings and its applications in FC-spaces |
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| Authors: | Ming-ge Yang Lei Deng |
| Institution: | 1. Department of Mathematics, Luoyang Normal University, Luoyang, Henan, 471022, China 2. Department of Mathematics, Sichuan University, Chengdu, Sichuan, 610064, China 3. School of Mathematics and Statistics, Southwest University, Chongqing, 400715, China |
| Abstract: | A new coincidence theorem for admissible set-valued mappings is proved in FC-spaces with a more general convexity structure. As applications, an abstract variational inequality, a KKM type theorem and a fixed point theorem are obtained. Our results generalize and improve the corresponding results in the literature. |
| Keywords: | FC-space coincidence theorem admissible set-valued mapping |
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