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

Abdollah Karami, Shaban Sedghi and Vahid Parvaneh

Advances in Mathematical Physics, 2021, vol. 2021, issue 1

Abstract: 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.

Date: 2021
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https://doi.org/10.1155/2021/9910861

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlamp:v:2021:y:2021:i:1:n:9910861

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