<abstract xmlns="http://www.w3.org/1999/xhtml"><p>In this paper, we introduce the concepts of rational type and subrational type contractive mappings. We expand and improve some fixed point theorems obtained by Alsulami <italic>et al.</italic> (Fixed Point Theory Appl., 2015, 2015: 97). Moreover, we give an example to support our results.</p></abstract>

In this paper, we introduce the concepts of rational type and subrational type contractive mappings. We expand and improve some fixed point theorems obtained by Alsulami et al. (Fixed Point Theory Appl., 2015, 2015: 97). Moreover, we give an example to support our results.

Some fixed point results for rational type and subrational type contractive mappings

University of Pristina-Kosovska Mitrovica

Acta Universitatis Sapientiae, Mathematica

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

In this paper, we introduce the concepts of rational type and subrational type contractive mappings. We expand and improve some fixed point theorems obtained...

Some fixed point results for rational type and subrational type contractive mappings

Published Online: Aug 05, 2017

Page range: 185 - 201

Received: Oct 15, 2016

DOI: https://doi.org/10.1515/ausm-2017-0012

Keywords
fixed point, generalized metric space, α-admissible mapping, α-regular, μ-subadmissible mapping, μ-subregular

© 2017 Huaping Huang et al., published by De Gruyter Open

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

Some fixed point results for rational type and subrational type contractive mappings

Published Online: Aug 05, 2017

Page range: 185 - 201

Received: Oct 15, 2016

DOI: https://doi.org/10.1515/ausm-2017-0012

Keywordsfixed point, generalized metric space, α-admissible mapping, α-regular, μ-subadmissible mapping, μ-subregular

© 2017 Huaping Huang et al., published by De Gruyter Open

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

Keywords
fixed point, generalized metric space, α-admissible mapping, α-regular, μ-subadmissible mapping, μ-subregular