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一类非线性拟非扩张算子不动点问题

Fixed Point Problem for a Class of Pseudo-nonexpansive Mappings
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摘要 不动点理论是目前正在迅速发展的非线性泛函分析理论的重要组成部分,数学中各类算子不动点问题的研究与非线性方程理论密切相关。空间条件下非扩张算子不动点的问题可归结为寻找非线性函数方程解,也即是寻找一些给定的非线性映射的不动点.讨论了一类非线性拟非扩张算子的不动点的存在性,证明了已有结果都能用Mann方法构造出来,给出了一类更广的构造不动点的迭代过程. Fixed point theory is an important part of nonlinear functional analysis, which has rapid and intense connection with many bran-ches of modern mathematics. The iterative approximation problems of fixed points are studied for asymptotically quasknonexpansive in Banach spaces. Hailin introduced the fixed point theorem for a class of pseudo-nonexpansive operators under certain conditions. The paper analyzes the fixed points of the pseudo-nonexpansive operators can he constructed by Mann methods.
作者 宋益荣
机构地区 商丘职业技术学院
出处 《商丘职业技术学院学报》 2012年第5期19-21,共3页 JOURNAL OF SHANGQIU POLYTECHNIC
关键词 BANACH空间 拟非扩张算子 不动点 banach space pseudo-nonexpansive operators fixed point
分类号 O177.91 [理学—基础数学]
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商丘职业技术学院学报
2012年 第5期

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