A Controlled Contraction Principle in Partial S-Metric Spaces

Authors

Kamaleldin Abodayeh, Department of Mathematical Sciences, Prince Sultan University, Riyadh, 11586, Saudi ArabiaFollow

Author Country (or Countries)

Saudi Arabia

Abstract

In this paper, we introduce the notion of a partially a−contractive self mapping and prove the existence and uniqueness of a fixed point for such mapping. Our results improve and generalize many results in S-metric spaces.

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/amis/100333

Recommended Citation

Abodayeh, Kamaleldin (2016) "A Controlled Contraction Principle in Partial S-Metric Spaces," Applied Mathematics & Information Sciences: Vol. 10: Iss. 3, Article 33.
DOI: http://dx.doi.org/10.18576/amis/100333
Available at: https://digitalcommons.aaru.edu.jo/amis/vol10/iss3/33