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

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:309

Article

Espínola, R ; Petrusel, A

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

DOI  :  10.1016/j.jmaa.2004.07.006

来源: Elsevier

【 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.

【 授权许可】

Free