<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

Publié en ligne: 22 déc. 2015

Pages: 179 - 204

Reçu: 01 juin 2013

Accepté: 01 nov. 2013

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

Mots clés
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

Publié en ligne: 22 déc. 2015

Pages: 179 - 204

Reçu: 01 juin 2013

Accepté: 01 nov. 2013

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

Mots clésTripled 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.

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