New fixed point theorems for \( (\phi, F) \)-Gregus contraction in b-rectangular metric spaces

In this paper, we introduce the notion of \( (\phi, F) \)-Gregus contraction and \( (\phi, F) \)-Gregus type quadratic contraction in b-rectangular metric spaces. Further, we study the existence and uniqueness of fixed point for these mappings in this spaces. Our results are legitimately validated by illustrative examples.

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Publication Details

Journal
Modern Mathematical Methods
Published
2025-04-15
DOI
https://doi.org/10.64700/mmm.45
Citations
2
Primary Topic
Fixed Point Theorems Analysis
Type
article
Field-Weighted Citation Impact
8.18
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article

New fixed point theorems for \( (\phi, F) \)-Gregus contraction in b-rectangular metric spaces

Neeta Sharma, Duran Türkoğlu, Rakesh Tiwari
2 citations
Modern Mathematical Methods
Fixed Point Theorems Analysis
8.18
article

New fixed point theorems for \( (\phi, F) \)-Gregus contraction in b-rectangular metric spaces

Neeta Sharma, Duran Türkoğlu, Rakesh Tiwari
article en
2 citations

Abstract

In this paper, we introduce the notion of \( (\phi, F) \)-Gregus contraction and \( (\phi, F) \)-Gregus type quadratic contraction in b-rectangular metric spaces. Further, we study the existence and uniqueness of fixed point for these mappings in this spaces. Our results are legitimately validated by illustrative examples.

Modern Mathematical MethodsVol. 3(1)
Tibet Autonomous Region People's Hospital (CN)
Openalex Percentile: Top 2%
Fixed Point Theorems Analysis
8.18
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New fixed point theorems for \( (\phi, F) \)-Gregus contraction in b-rectangular metric spaces — Neeta Sharma, Duran Türkoğlu, et al. · Modern Mathematical Methods (2025) | TGRS Research Map | TGRS