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A Mixed Mann Iteration Process for Fixed Points of Mixed Increasing Operators in Ordered Banach Spaces
Authors:Ya Ping Fang  Nan Jing Huang
Institution:Department of Mathematics , Sichuan University , Chengdu, Sichuan, People's Republic of China
Abstract:In this paper, we develop a new mixed Mann iteration process to approximate the fixed points of mixed increasing operators in ordered Banach spaces and discuss the convergence analysis of the iterative sequences generated by the iteration process. As an application, we develop a new iterative method for solving a class of nonlinear integral equations.
Keywords:Fixed points  Mixed increasing operators  Mixed Mann iteration process  Ordered Banach spaces
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