<abstract xmlns="http://www.w3.org/1999/xhtml"><p>In this paper, we present fixed point results for Boyd and Wong type [3] generalized contractive condition in partial metric spaces. In particular, we generalize the fixed point results due to Akkouchi [1] in complete partial metric spaces in which the continuity requirement for a mapping is relaxed to obtain the results. In addition to that we present a common fixed point theorem for a pair of maps. An illustrative example is also constructed to exhibit the results.</p></abstract>

In this paper, we present fixed point results for Boyd and Wong type [3] generalized contractive condition in partial metric spaces. In particular, we generalize the fixed point results due to Akkouchi [1] in complete partial metric spaces in which the continuity requirement for a mapping is relaxed to obtain the results. In addition to that we present a common fixed point theorem for a pair of maps. An illustrative example is also constructed to exhibit the results.

Boyd and Wong Type Fixed Point Theorems in Partial Metric Spaces

Moroccan Journal of Pure and Applied Analysis

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

{"article-title":"Boyd and Wong Type Fixed Point Theorems in Partial Metric Spaces"}

In this paper, we present fixed point results for Boyd and Wong type [3] generalized contractive condition in partial metric spaces. In particular, we...

Boyd and Wong Type Fixed Point Theorems in Partial Metric Spaces

Published Online: Jan 24, 2020

Page range: 251 - 262

Received: Nov 05, 2019

Accepted: Dec 21, 2019

DOI: https://doi.org/10.2478/mjpaa-2019-0018

Keywords
Metric spaces, Partial metric spaces, Fixed point, Boyd and Wong contractive condition

© 2019 Faustine Nziku et al., published by Sciendo

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

Boyd and Wong Type Fixed Point Theorems in Partial Metric Spaces

Published Online: Jan 24, 2020

Page range: 251 - 262

Received: Nov 05, 2019

Accepted: Dec 21, 2019

DOI: https://doi.org/10.2478/mjpaa-2019-0018

KeywordsMetric spaces, Partial metric spaces, Fixed point, Boyd and Wong contractive condition

© 2019 Faustine Nziku et al., published by Sciendo

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

Keywords
Metric spaces, Partial metric spaces, Fixed point, Boyd and Wong contractive condition