Fixed point theorems for 1-set weakly contractive and pseudocontractive operators on an unbounded domain

被引：12

作者：

Ben Amar, Afif ^{[1
]}

Garcia-Falset, Jesus ^{[2
]}

机构：

[1] Univ Gafsa, Fac Sci Gafsa, Dept Math, Gafsa 2112, Tunisia

[2] Univ Valencia, Dept Anal Matemat, E-46100 Valencia, Spain

来源：

PORTUGALIAE MATHEMATICA | 2011年 / 68卷 / 02期

关键词：

Weakly 1-set contractions; pseudocontractive maps; measures of weak noncompactness; fixed points; BANACH-SPACES; NONEXPANSIVE-MAPPINGS; NONLINEAR OPERATORS; EXISTENCE; SCHAUDER; EQUATIONS; MAPS;

D O I：

10.4171/PM/1884

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We establish new fixed point results for some nonlinear weakly condensing, 1-set weakly contractive, pseudo-contractive and nonexpansive operators defined on unbounded domains under different boundary conditions as well as other additional assumptions. An existence result of positive eigenvalues and eigenvectors for nonlinear weakly condensing operators and an application to generalized Hammerstein integral equations are given.

引用

页码：125 / 147

页数：23

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