局部Lipschitz全连续弱内向映象的新不动点定理  

New Fixed Point Theorems of Locally Lipschitz Completely Continuous and Weakly Inward Maps

作　　者：许绍元[1] 

机构地区：[1]赣南师范学院数学与计算机学院,江西赣州341000

出　　处：《河南师范大学学报（自然科学版）》2008年第2期26-29,共4页Journal of Henan Normal University(Natural Science Edition)

基　　金：江西省自然科学基金(0611005)

摘　　要：利用有界凸闭集上局部Lipschitz全连续弱内向映象的不动点指数一个基本结论,得到了有界凸闭集上局部Lipschitz全连续弱内向映象的新不动点定理.特别地,得到了有界凸闭集上局部Lipschitz全连续弱内向映象的Altman定理,Roth定理和Petryshyn定理及其各种推广形式.In this paper, based on a basic result on locally Lipschitz completely continuous and weakly inward maps, some new fixed point theorems of locally Lipschitz completely continuous and weakly inward maps defined on a closed bounded convex set are obtained. As a result, the famous Altmaffs theorem, Roth＇s theorem and Petryshyn＇s theorem for such class of mappings are obtained and generalized.

关 键 词：全连续弱内向映象 BANACH空间微分方程 不动点指数 不动点 

分 类 号：O177.91[理学—数学]