Coupled fixed point theorems for nonlinear contractions in partially ordered G -metric spaces

Hassen Aydi; Boško Damjanović; Bessem Samet; Wasfi Shatanawi

doi:10.1016/j.mcm.2011.05.059

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Coupled fixed point theorems for nonlinear contractions in partially ordered G -metric spaces

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Coupled fixed point theorems for nonlinear contractions in partially ordered G -metric spaces

Hassen Aydi, Boško Damjanović, Bessem Samet and Wasfi Shatanawi

Mathematical and computer modelling, Vol.54(9), pp.2443-2450

01/11/2011

DOI: https://doi.org/10.1016/j.mcm.2011.05.059

Abstract

[formula omitted]-metric space

Coupled coincidence point

Coupled common fixed point

Mixed monotone property

Ordered set

We prove coupled coincidence and coupled common fixed point theorems for a mixed g -monotone mapping satisfying nonlinear contractions in partially ordered G -metric spaces. Presented theorems are generalizations of the very recent results of Choudhury and Maity [B.S. Choudhury, P. Maity, Coupled fixed point results in generalized metric spaces, Math. Comput. Modelling 54 (1–2) (2011) 73–79].

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Title: Coupled fixed point theorems for nonlinear contractions in partially ordered G -metric spaces
Creators - without role: Hassen Aydi - University of Monastir
Boško Damjanović - Institute of Agricultural Economics Belgrade
Bessem Samet - Tunis University
Wasfi Shatanawi - Hashemite University
Publication Details: Mathematical and computer modelling, Vol.54(9), pp.2443-2450
Publisher: Elsevier Ltd
Identifiers: 9926908308331
Academic Unit: Prince Sultan University
Language: English
Resource Type: Journal article