Topological degree for 1-set-contractive fields in M-PN spaces and its applications  

作　　者：WU Zhao-qi ZHU Chuan-xi 

机构地区：[1]Department of Mathematics, Zhejiang University, Hangzhou 310027, China [2]Department of Mathematics, Nanchang University, Nanchang 330031, China

出　　处：《Applied Mathematics(A Journal of Chinese Universities)》2010年第4期463-474,共12页高校应用数学学报（英文版）（B辑）

基　　金：Supported by the National Natural Science Foundation of China (10761007)

摘　　要：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.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.

关 键 词：PN-space 1-set-contractive operator topological degree fixed point theorem. 

分 类 号：O189.2[理学—数学] O177.3[理学—基础数学]