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Ordered $S_{p}$-metric spaces and some fixed point theorems for contractive mappings with application to periodic boundary value problems

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posted on 2022-11-22, 21:18 authored by Z. Mustafa, R. J. Shahkoohi, V. Parvaneh, Z. Kadelburg, M. M. M. Jaradat

In this paper, we introduce the structure of $S_{p}$ S p -metric spaces as a generalization of both S-metric and $S_{b}$ S b -metric spaces. Also, we present the notions of S̃-contractive mappings in the setup of ordered $S_{p}$ S p -metric spaces and investigate the existence of a fixed point for such mappings under various contractive conditions. We provide examples to illustrate the results presented herein. An application to periodic boundary value problems is presented.

Other Information

Published in: Fixed Point Theory and Applications
License: https://creativecommons.org/licenses/by/4.0
See article on publisher's website: http://dx.doi.org/10.1186/s13663-019-0666-3

History

Language

  • English

Publisher

Springer Science and Business Media LLC

Publication Year

  • 2019

Institution affiliated with

  • Qatar University

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