<abstract xmlns="http://www.w3.org/1999/xhtml"><p>In this paper, we introduce a generalization of cyclic (<italic>μ, ψ, φ</italic>)-weakly contraction via a new function and derive the existence of fixed point for such mappings in the setup of complete metric spaces. Our results extend and improve some fixed point theorems in the literature.</p></abstract>

In this paper, we introduce a generalization of cyclic (μ, ψ, φ)-weakly contraction via a new function and derive the existence of fixed point for such mappings in the setup of complete metric spaces. Our results extend and improve some fixed point theorems in the literature.

Fixed Point Theorem for Cyclic (<italic>μ</italic>, <italic>ψ</italic>, <italic>φ</italic>)-Weakly Contractions via a New Function

Annals of West University of Timisoara - Mathematics and Computer Science

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

Fixed Point Theorem for Cyclic (, , )-Weakly Contractions via a New Function

In this paper, we introduce a generalization of cyclic (μ, ψ, φ)-weakly contraction via a new function and derive the existence of fixed point for such...

Fixed Point Theorem for Cyclic (μ, ψ, φ)-Weakly Contractions via a New Function

Published Online: Dec 29, 2017

Page range: 3 - 15

Received: Apr 11, 2015

Accepted: Sep 24, 2017

DOI: https://doi.org/10.1515/awutm-2017-0011

Keywords
complete metric space, fixed point, cyclic ()-weakly contraction mapping

© 2017 Muaadh Almahalebi et al., published by De Gruyter Open

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

Fixed Point Theorem for Cyclic (μ, ψ, φ)-Weakly Contractions via a New Function

Published Online: Dec 29, 2017

Page range: 3 - 15

Received: Apr 11, 2015

Accepted: Sep 24, 2017

DOI: https://doi.org/10.1515/awutm-2017-0011

Keywordscomplete metric space, fixed point, cyclic ()-weakly contraction mapping

© 2017 Muaadh Almahalebi et al., published by De Gruyter Open

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

Keywords
complete metric space, fixed point, cyclic ()-weakly contraction mapping