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Topological degree for 1-set-contractive fields in M-PN spaces and its applications
Authors:Zhao-qi Wu  Chuan-xi Zhu
Institution:1. Department of Mathematics, Zhejiang University, Hangzhou, 310027, China
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.
Keywords:PN-space  1-set-contractive operator  topological degree  fixed point theorem  
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