<abstract xmlns="http://www.w3.org/1999/xhtml"><p> In this paper, we introduced and studied a new class of mappings in ordered metric spaces that is inspired from the concept of a P-function introduced in Chaipunya et. al. [10]. With our new class, we furnish fixed point theorems for continuous, noncontinuous, monotonic, and nonmonotonic mappings in various kinds of the ordering structures.</p></abstract>

In this paper, we introduced and studied a new class of mappings in ordered metric spaces that is inspired from the concept of a P-function introduced in Chaipunya et. al. [10]. With our new class, we furnish fixed point theorems for continuous, noncontinuous, monotonic, and nonmonotonic mappings in various kinds of the ordering structures.

A new class of generalized contraction using P-functions in ordered metric spaces

Laboratoire Physique mathmaétique, Fonctions spéciales et applications (MAPSFA) LR11ES35, Université de Sousse, Ecole supérieure des sciences et de technologie de Hammam Sousse, Rue Lamine el abbassi, 4011 Hammam Sousse, Tunisie

Atilim University, Department of Mathematics, 06836, Atlm University, İncek, Ankara,

Department of Mathematics, Faculty of Science, King Mongkut's University of Technology Thonburi, Bang Mod, Bangkok 10140,

Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

In this paper, we introduced and studied a new class of mappings in ordered metric spaces that is inspired from the concept of a P-function introduced in...

A new class of generalized contraction using P-functions in ordered metric spaces

Published Online: Apr 22, 2017

Page range: 93 - 106

Received: May 01, 2014

Accepted: Jul 01, 2014

DOI: https://doi.org/10.1515/auom-2015-0028

Keywords
P-function, P-contraction, metric space, partially ordered set

© 2017

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

A new class of generalized contraction using P-functions in ordered metric spaces

Published Online: Apr 22, 2017

Page range: 93 - 106

Received: May 01, 2014

Accepted: Jul 01, 2014

DOI: https://doi.org/10.1515/auom-2015-0028

KeywordsP-function, P-contraction, metric space, partially ordered set

© 2017

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Keywords
P-function, P-contraction, metric space, partially ordered set