Open Access Research

Common fıxed points of almost generalized (ψ, ϕ)-contractive mappings in ordered metric spaces

Wasfı Shatanawi1 and Ahmed Al-Rawashdeh2*

Author Affiliations

1 Department of Mathematics, Hashemite University, Zarqa 13115, Jordan

2 Department of Mathematical Sciences, UAEU, 17551 Al Ain, United Arab Emirates

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Fixed Point Theory and Applications 2012, 2012:80 doi:10.1186/1687-1812-2012-80

Published: 9 May 2012

Abstract

In this article, we introduce the notion of almost generalized (ψ, ϕ)-contractive mappings in ordered metric spaces and we establish some fixed and common fixed point results in ordered complete metric spaces. Our results generalize several well-known comparable results in the literature. Finally, an example and an application are given in order to support the useability of our results.

Mathematics Subject Classifications 2000: 54H25; 47H10; 54E50

Keywords:
fıxed point; generalized contractions; complete ordered metric spaces