Sequential Extended S-Metric Spaces and Relevant Fixed Point Results with Application to Nonlinear Integral Equations

In this paper, the notion of sequential ςp-metric spaces has been introduced as a generalization of usual S-metric spaces, Sb-metric spaces, SJS metric spaces, and specially of Sp-metric spaces. In view of this notion, we prove some fixed point theorems for some classes of ςp-rational Geraghty JS-co...

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Bibliographic Details
Main Authors: Abdollah Karami, Shaban Sedghi, Vahid Parvaneh
Format: Article
Language:English
Published: Wiley 2021-01-01
Series:Advances in Mathematical Physics
Online Access:http://dx.doi.org/10.1155/2021/9910861
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Summary:In this paper, the notion of sequential ςp-metric spaces has been introduced as a generalization of usual S-metric spaces, Sb-metric spaces, SJS metric spaces, and specially of Sp-metric spaces. In view of this notion, we prove some fixed point theorems for some classes of ςp-rational Geraghty JS-contractions over such spaces. A supporting example and an application have been given in order to examine the validity of the obtained results.
ISSN:1687-9120
1687-9139