Sequential Extended - 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, 1-11

Abstract:

In this paper, the notion of sequential - metric spaces has been introduced as a generalization of usual - metric spaces, - metric spaces, metric spaces, and specially of - metric spaces. In view of this notion, we prove some fixed point theorems for some classes of - 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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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlamp:9910861

DOI: 10.1155/2021/9910861

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