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Axioms 2018, 7(4), 87; https://doi.org/10.3390/axioms7040087

Extended Partial Sb-Metric Spaces

Department of Mathematics and General Sciences, Prince Sultan University, 11586 Riyadh, Saudi Arabia
Received: 18 October 2018 / Revised: 17 November 2018 / Accepted: 18 November 2018 / Published: 21 November 2018
(This article belongs to the Special Issue Mathematical Analysis and Applications II)
Full-Text   |   PDF [221 KB, uploaded 21 November 2018]

Abstract

In this paper, we introduce the concept of extended partial S b -metric spaces, which is a generalization of the extended S b -metric spaces. Basically, in the triangle inequality, we add a control function with some very interesting properties. These new metric spaces generalize many results in the literature. Moreover, we prove some fixed point theorems under some different contractions, and some examples are given to illustrate our results. View Full-Text
Keywords: extended partial Sb-metric spaces; Sb-metric spaces; fixed point extended partial Sb-metric spaces; Sb-metric spaces; fixed point
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).
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Mukheimer, A. Extended Partial Sb-Metric Spaces. Axioms 2018, 7, 87.

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