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Bulletin of the Belgian Mathematical Society - Simon Stevin

Gregus type fixed point results for tangential mappings satisfying contractive conditions of integral type

Hemant Kumar Pathak and Naseer Shahzad

Source: Bull. Belg. Math. Soc. Simon Stevin Volume 16, Number 2 (2009), 277-288.

Abstract

The notion of pair-wise tangential mappings, which is a generalization of mappings satisfying (E.A) property, is introduced and used to prove a common fixed point theorem of Gregus type for a quadruple of self mappings of a metric space satisfying a strict general contractive condition of integral type. Our main result generalizes a recent result of A. Djoudi, A. Alioche [Common fixed point theorems of Gregus type for weakly compatible mappings satisfying contractive conditions of integral type, J. Math. Anal. Appl. 329 (2007), 31-45].

Primary Subjects: 54H25, 47H10
Keywords: Weakly compatible mappings; coincidence points; common fixed points; property (E.A); common property (E.A); pair-wise tangential property

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Links and Identifiers

Permanent link to this document: http://projecteuclid.org/euclid.bbms/1244038139
Zentralblatt MATH identifier: 05578799


2009 © The Belgian Mathematic Society

Bulletin of the Belgian Mathematical Society - Simon Stevin

Bulletin of the Belgian Mathematical Society - Simon Stevin