<abstract xmlns="http://www.w3.org/1999/xhtml"><p>In this paper, we study some tripled fixed and coincidence point theorems for two mappings <italic>F</italic> : <italic>X</italic> × <italic>X</italic> × <italic>X</italic> → <italic>X</italic> and <italic>ɡ</italic> : <italic>X</italic> → <italic>X</italic> satisfying a nonlinear contraction based on <italic>ϕ</italic>-maps. Our results extend and improve many existing results in the literature. Also, we introduce an example to support the validity of our results.</p></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.

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

Department of Mathematics, Hashemite University, Zarqa-Jordan

Department of Mathematics and Informatics, University Politehnica of Bucharest, 313 Splaiul Independenȩti, Romania.

Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

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...

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

Published Online: Dec 22, 2015

Page range: 179 - 204

Received: Jun 01, 2013

Accepted: Nov 01, 2013

DOI: https://doi.org/10.2478/auom-2014-0058

Keywords
Tripled fixed point, ordered sets, generalized metric spaces, mixed monotone property

© 2014 Wasfi Shatanawi et al., published by De Gruyter Open

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

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

Published Online: Dec 22, 2015

Page range: 179 - 204

Received: Jun 01, 2013

Accepted: Nov 01, 2013

DOI: https://doi.org/10.2478/auom-2014-0058

KeywordsTripled fixed point, ordered sets, generalized metric spaces, mixed monotone property

© 2014 Wasfi Shatanawi et al., published by De Gruyter Open

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Keywords
Tripled fixed point, ordered sets, generalized metric spaces, mixed monotone property