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

被引：12

作者：

Souayah, Nizar ^{[1
]}

Mrad, Mehdi ^{[2
]}

机构：

[1] King Saud Univ, Community Coll Al Riyadh, Dept Nat Sci, Riyadh 145111, Saudi Arabia

[2] King Saud Univ, Dept Ind Ingeneering, Coll Engn, Riyadh 145111, Saudi Arabia

来源：

MATHEMATICS | 2020年 / 8卷 / 01期

关键词：

fixed-point; controlled metric type space; partial metric; graph; THEOREMS; PRINCIPLE; MAPPINGS;

D O I：

10.3390/math8010033

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

引用

页数：15

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