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

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

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

^*Corresponding author for this work

Mathematics and Applied Mathematics

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

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.

Original language	English
Article number	59
Journal	Journal of Inequalities and Applications
Volume	2024
Issue number	1
DOIs	https://doi.org/10.1186/s13660-024-03136-y
Publication status	Published - Dec 2024

Keywords

Fixed point
Pata-type contraction
S-Pata-type contraction
S-metric space

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10.1186/s13660-024-03136-y

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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.",

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author = "Deep Chand and Yumnam Rohen and Naeem Saleem and Maggie Aphane and Asima Razzaque",

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AU - Chand, Deep

AU - Rohen, Yumnam

AU - Saleem, Naeem

AU - Aphane, Maggie

AU - Razzaque, Asima

N1 - Publisher Copyright: © The Author(s) 2024.

PY - 2024/12

Y1 - 2024/12

N2 - 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.

AB - 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.

KW - Fixed point

KW - Pata-type contraction

KW - S-Pata-type contraction

KW - S-metric space

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JF - Journal of Inequalities and Applications

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ER -

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

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Keywords

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