Banach空间中Rothe及Altman型凸幂1集压缩算子的不动点定理

J4 ›› 2011, Vol. 46 ›› Issue (4): 49-52.

Banach空间中Rothe及Altman型凸幂1集压缩算子的不动点定理

赵吕慧子,孙经先

徐州师范大学数学科学学院,江苏徐州 221116

收稿日期:2010-11-24 发布日期:2011-04-21
作者简介:赵吕慧子(1986- ),女,硕士,研究方向为非线性泛函分析. Email:sun-salt0206@163.com
基金资助:
国家自然科学基金资助项目(10971179)

Fixed point theorems of Rothe and Altman types convex-power 1-set-contraction operators in Banach spaces

ZHAO Lv-hui-zi, SUN Jing-xian

Department of Mathematics,Xuzhou Normal University, Xuzhou 221116, Jiangsu, China

Received:2010-11-24 Published:2011-04-21

摘要/Abstract

摘要：

在Banach空间中给出了一类新算子——凸幂1集压缩算子的定义,研究了这类新算子不动点的存在性问题,利用算子逼近的方法,获得了Rothe及Altman型凸幂1集压缩算子的不动点定理,推广了1集压缩算子的不动点定理。

关键词: 凸幂1集压缩; 不动点定理; Banach 空间

Abstract:

The definition of a class of new operators—convex-power 1-set-contraction operators in Banach spaces is given, and the existence of fixed points of this class of operators is studied. By using methods of approximation by operators, the fixed point theorems of Rothe and Altman types convex-power 1-set-contraction operators is obtained, which generalize fixed point theorems of 1-set-contraction operators.

Key words: convex-power 1-set-contraction; fixed point theorem; Banach spaces

赵吕慧子,孙经先. Banach空间中Rothe及Altman型凸幂1集压缩算子的不动点定理[J]. J4, 2011, 46(4): 49-52.

ZHAO Lv-hui-zi, SUN Jing-xian. Fixed point theorems of Rothe and Altman types convex-power 1-set-contraction operators in Banach spaces[J]. J4, 2011, 46(4): 49-52.

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