S-Pata-type contraction: a new approach to fixed-point theory with an application

Deep Chand; Yumnam Rohen; Naeem Saleem; Maggie Aphane; Asima Razzaque

doi:10.1186/s13660-024-03136-y

Journal of Inequalities and Applications (Apr 2024)

S-Pata-type contraction: a new approach to fixed-point theory with an application

Deep Chand,
Yumnam Rohen,
Naeem Saleem,
Maggie Aphane,
Asima Razzaque

Affiliations

Deep Chand: Department of Mathematics, National Institute of Technology Manipur
Yumnam Rohen: Department of Mathematics, National Institute of Technology Manipur
Naeem Saleem: Department of Mathematics, University of Management and Technology
Maggie Aphane: Department of Mathematics and Applied Mathematics, Sefako Makgatho Health Sciences University
Asima Razzaque: Department of Basic Sciences, Preparatory Year, King Faisal University Al Ahsa

DOI: https://doi.org/10.1186/s13660-024-03136-y
Journal volume & issue: Vol. 2024, no. 1
pp. 1 – 16

Abstract

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Abstract In this paper, we introduce new types of contraction mappings named S-Pata-type contraction mapping and Generalized S-Pata-type contraction mapping in the framework of S-metric space. Then, we prove some new fixed-point results for S-Pata-type contraction mappings and Generalized S-Pata-type contraction mappings. To support our results, we provide examples to illustrate our findings and also apply these results to the ordinary differential equation to strengthen our conclusions.

Published in Journal of Inequalities and Applications

ISSN: 1029-242X (Online)
Publisher: SpringerOpen
Country of publisher: United Kingdom
LCC subjects: Science: Mathematics
Website: http://www.journalofinequalitiesandapplications.com/

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Abstract

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