Some Fixed Point Results for Hybrid Contraction in Metric Spaces and Ulam-Hyers Stability

In the present manuscript, we introduce a new notion of (β, ϕ)− admissible hybrid contractions in metric spaces and establish fixed point results in the setting of these spaces. The derived results extend the reported findings of the past. The derived result is supplemented with a non-trivial example. We have also analyzed the Ulam-Hyers stability and well-poisedness as anapplication to the derived results.

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Publication Details

Journal
European Journal of Pure and Applied Mathematics
Published
2025-08-03
DOI
https://doi.org/10.29020/nybg.ejpam.v18i3.6243
Primary Topic
Fixed Point Theorems Analysis
Type
article
Field-Weighted Citation Impact
0.00

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article

Some Fixed Point Results for Hybrid Contraction in Metric Spaces and Ulam-Hyers Stability

Rajagopalan Ramaswamy, Gunaseelan Mani, Ola A. Ashour Abdelnaby, Prafull Sharma et al.
European Journal of Pure and Applied Mathematics
Fixed Point Theorems Analysis
article

Some Fixed Point Results for Hybrid Contraction in Metric Spaces and Ulam-Hyers Stability

Rajagopalan Ramaswamy, Gunaseelan Mani, Ola A. Ashour Abdelnaby, Prafull Sharma, Manoj Kumar, Rayan Abdulrahman Alkhowaiter, Hossam A. Nabway
article en

Abstract

In the present manuscript, we introduce a new notion of (β, ϕ)− admissible hybrid contractions in metric spaces and establish fixed point results in the setting of these spaces. The derived results extend the reported findings of the past. The derived result is supplemented with a non-trivial example. We have also analyzed the Ulam-Hyers stability and well-poisedness as anapplication to the derived results.

European Journal of Pure and Applied MathematicsVol. 18(3)
Prince Sattam Bin Abdulaziz University (SA), Maharishi Markandeshwar University, Mullana (IN), Baba Mastnath University (IN), Saveetha University (IN)
Prince Sattam bin Abdulaziz University
Openalex Percentile: Top 75%
Fixed Point Theorems Analysis
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Some Fixed Point Results for Hybrid Contraction in Metric Spaces and Ulam-Hyers Stability — Rajagopalan Ramaswamy, Gunaseelan Mani, et al. · European Journal of Pure and Applied Mathematics (2025) | TGRS Research Map | TGRS