Some New Fixed Point Results via the Concept of Measure of Noncompactness

被引：5

作者：

Aghajani, Asadollah ^{[1
]}

Tehrani, Alireza Mosleh ^{[1
]}

O'Regan, Donald ^{[2
]}

机构：

[1] Iran Univ Sci & Technol, Sch Math, Tehran 1684413114, Iran

[2] Natl Univ Ireland, Sch Math Stat & Appl Math, Galway, Ireland

来源：

FILOMAT | 2015年 / 29卷 / 06期

关键词：

measure of noncompactness; Darbo fixed point theorem; is an element of-fixed point; nonexpansive mapping; uniformly convex space; ASYMPTOTIC STABILITY; INTEGRAL-EQUATION; EXISTENCE; ATTRACTIVITY; THEOREM;

D O I：

10.2298/FIL1506209A

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we present a generalization of Darbo's fixed point theorem and using this generalization we prove an epsilon-fixed point result in Banach spaces. Also, we present a generalization of Darbo and Sadovskii fixed point theorem in uniformly convex Banach spaces.

引用

页码：1209 / 1216

页数：8

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