Schaefer-Krasnoselskii fixed point theorems using a usual measure of weak noncompactness

被引：40

作者：

Garcia-Falset, J. ^{[2
]}

Latrach, K. ^{[1
]}

Moreno-Galvez, E. ^{[3
]}

Taoudi, M. -A. ^{[4
]}

机构：

[1] Univ Blaise Pascal, Math Lab, F-63177 Aubiere, France

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

[3] Univ Catolica Valencia San Vicente Martir, Dept Matemat Ciencias Nat & Ciencias Sociales Apl, Valencia 46100, Spain

[4] Univ Cadi Ayyad, Lab Math & Syst Dynam, Marrakech, Morocco

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 2012年 / 252卷 / 05期

关键词：

Krasnoselskii fixed point theorem; Measure of weak noncompactness; Nonlinear integral equations; EXISTENCE; SUM; OPERATORS;

D O I：

10.1016/j.jde.2011.11.012

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We present some extension of a well-known fixed point theorem due to Burton and Kirk [T.A. Burton, C. Kirk, A fixed point theorem of Krasnoselskii-Schaefer type, Math. Nachr. 189 (1998) 423-431] for the sum of two nonlinear operators one of them compact and the other one a strict contraction. The novelty of our results is that the involved operators need not to be weakly continuous. Finally, an example is given to illustrate our results. (C) 2011 Elsevier Inc. All rights reserved.

引用

页码：3436 / 3452

页数：17

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