Topological degree for 1-set-contractive fields in M-PN spaces and its applications |
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Authors: | Zhao-qi Wu Chuan-xi Zhu |
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Institution: | 1. Department of Mathematics, Zhejiang University, Hangzhou, 310027, China
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Abstract: | In this paper, we define the topological degree for 1-set-contractive fields in PN spaces. Based on this, we obtain some new fixed point theorems for 1-set-contractive operators. As an application, we study the existence of solutions for a kind of nonlinear Volterra integral equations in Z-M-PN space. |
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Keywords: | PN-space 1-set-contractive operator topological degree fixed point theorem |
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