Generalized type theorems in topological spaces with applications |
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| Authors: | Xie Ping Ding Yeong Cheng Liou Jen Chih Yao |
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| Institution: | aCollege of Mathematics and Software Science, Sichuan Normal University, Chengdu, Sichuan 610066, PR China;bDepartment of Industrial Management, Southern Taiwan University of Technology, Taiwan 710, ROC;cDepartment of Applied Mathematics, National Sun Yat-sen University, Kaohsiung, 80424, Taiwan, ROC |
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| Abstract: | In this work, some new generalized type theorems for generalized mappings with compactly open values are established in topological spaces without any convexity assumptions. As applications, a Ky Fan type matching theorem, fixed point theorem and coincidence theorem are obtained in topological spaces. These results generalize some known results from the recent literature. |
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| Keywords: | mapping with compactly open values theorem Matching theorem Topological space |
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