On Fixed-Point Results in Controlled Partial Metric Type Spaces with a Graph

Nizar Souayah and Mehdi Mrad
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Nizar Souayah: Department of Natural Sciences, Community College Al-Riyadh, King Saud University, Riyadh 145111, Saudi Arabia
Mehdi Mrad: Department of Industrial Ingeneering, College of engineering, King Saud University, Riyadh 145111, Saudi Arabia

Mathematics, 2019, vol. 8, issue 1, 1-15

Abstract: Recently, Mlaiki et al. introduced the notion of a controlled metric type space which is a generalization of the b -metric space. In this work, we define the controlled partial metric type space and give some fixed-point theorems for extensions of Kannan contraction in this space with suitable conditions. Moreover, as an application, we derive a fixed-point theorem for graphic contraction on the considered metric space endowed with a graph.

Keywords: fixed-point; controlled metric type space; partial metric; graph (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2019
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