A fixed point theorem for Meir-Keeler contractions in ordered metric spaces

Author:

Harjani Jackie,López Belén,Sadarangani Kishin

Abstract

Abstract The purpose of this paper is to present some fixed point theorems for Meir-Keeler contractions in a complete metric space endowed with a partial order. MSC: 47H10.

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Geometry and Topology

Reference20 articles.

1. Meir A, Keeler E: A theorem on contraction mappings. J Math Anal Appl 1969, 28: 326–329. 10.1016/0022-247X(69)90031-6

2. Agarwal RP, El-Gebeily MA, O'Regan D: Generalized contractions in partially ordered metric spaces. Appl Anal 2008, 87: 109–116. 10.1080/00036810701556151

3. Altun I, Simsek H: Some fixed point theorems on ordered metric spaces and applications. Fixed Point Theory Appl 2010,2010(621469):17.

4. Altum I, Durmaz G: Some fixed point theorems on ordered cone metric spaces. Rendiconti del Circolo Matematico di Palermo 2009, 58: 319–325. 10.1007/s12215-009-0026-y

5. Ciric L, Cakid N, Rajovic M, Ume JS: Monotone generalized nonlinear contractions in partially ordered metric spaces. Fixed Point Theory Appl 2008,2008(131294):11.

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