Fixed point theorems in locally convex spaces

被引：7

作者：

Bugajewski, D ^{[1
]}

机构：

[1] Adam Mickiewicz Univ Poznan, Fac Math & Comp Sci, PL-61614 Poznan, Poland

来源：

ACTA MATHEMATICA HUNGARICA | 2003年 / 98卷 / 04期

关键词：

alpha-condensing mapping; alpha-nonexpansive mapping; fixed point theorems; measures of noncompactness; measure of weak noncompactness; nonexpansive mapping; star-shaped set; weakly F-contractive mapping;

D O I：

10.1023/A:1022842429470

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The aim of this paper is to prove some fixed point theorems which generalize well known basic fixed point principles of nonlinear functional analysis. Moreover, we investigate the class of mappings f : X --> X, where X is a Banach space, for which one of the main conditions in the metric fixed point theory, namely the condition (1), is satisfied. We obtain essential applications of this fact. All our results are illustrated by suitable examples.

引用

页码：345 / 355

页数：11

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