Tripled and coincidence fixed point theorems for contractive mappings satisfying Φ-maps in partially ordered metric spaces

Wasfi Shatanawi; Mihai Postolache; Zead Mustafa

doi:10.2478/auom-2014-0058

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Tripled and coincidence fixed point theorems for contractive mappings satisfying Φ-maps in partially ordered metric spaces

Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică

Volume 22 (2014): Issue 3 (September 2014)

By: Wasfi Shatanawi, Mihai Postolache and Zead Mustafa

Open Access

|Dec 2015

Abstract

In this paper, we study some tripled fixed and coincidence point theorems for two mappings F : X × X × X → X and ɡ : X → X satisfying a nonlinear contraction based on ϕ-maps. Our results extend and improve many existing results in the literature. Also, we introduce an example to support the validity of our results.

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Articles in this issue

DOI: https://doi.org/10.2478/auom-2014-0058 | Journal eISSN: 1844-0835 | Journal ISSN: 1224-1784

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Language: English

Page range: 179 - 204

Submitted on: Jun 1, 2013

Accepted on: Nov 1, 2013

Published on: Dec 22, 2015

Published by: Ovidius University of Constanta

In partnership with: Paradigm Publishing Services

Publication frequency: 3 issues per year

Keywords:

Tripled fixed point,

ordered sets,

generalized metric spaces,

mixed monotone property

Related subjects:

Mathematics,

General mathematics

© 2015 Wasfi Shatanawi, Mihai Postolache, Zead Mustafa, published by Ovidius University of Constanta
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Volume 22 (2014): Issue 3 (September 2014)