Existence and data dependence of fixed points for multivalued operators on gauge spaces

被引：24

作者：

Espínola, R

Petrusel, A

机构：

[1] Univ Sevilla, Dept Math Anal, Seville, Spain

[2] Univ Babes Bolyai, Dept Appl Math, Cluj Napoca 400084, Romania

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2005年 / 309卷 / 02期

关键词：

multifunction; common fixed point; gauge space; Meir-Keeler operator; admissible multivalued a(alpha)-contraction; hyperconvex metric space;

D O I：

10.1016/j.jmaa.2004.07.006

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The purpose of this note is to present some fixed point and data dependence theorems in complete gauge spaces and in hyperconvex metric spaces for the so-called Meir-Keeler multivalued operators and admissible multivalued a(alpha)-contractions. Our results extend and generalize several theorems of Espinola and Kirk [R. Espinola, W.A. Kirk, Set-valued contractions and fixed points, Nonlinear Anal. 54 (2003) 485-494] and Rus, Petrusel, and Sintamarian [I.A. Rus, A. Petrusel, A. Sintamarian, Data dependence of the fixed point set of some multivalued weakly Picard operators, Nonlinear Anal. 52 (2003)1947-1959]. (C) 2004 Elsevier Inc. All rights reserved.

引用

页码：420 / 432

页数：13

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