Fixed points of generalized rational  (α,β,Z)-contraction mappings under simulation functions

Stephen, Thounaojam; Rohen, Yumnam

doi:10.22436/jmcs.024.04.07

Cited by 2 publications

(1 citation statement)

References 11 publications

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“…The Fcontraction, on the other hand, was first suggested by Wardowski [7] in 2012, while Wardowski et al [8] defined the F -weak contraction and demonstrated fixed point findings as a generalisation of the Banach's result in 2014. The outcomes of this deduction are presented in the publications [9][10][11] in the setting of generalised metric spaces. By altering the criteria of Wardowski [7], authors in [12][13][14] developed a new class of functions and established numerous generalised contraction theorems.…”

Section: Introductionmentioning

confidence: 99%

Fixed points of (α,β,F∗) and (α,β,F∗∗)-weak Geraghty contractions with an application

Alam

Rohen

2022

Preprint

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This study aims to provide new classes of (α,β,F∗)-weak Geraghty contraction and (α,β,F∗∗)-weak Geraghty contraction, a self generalized contractions on any metric space. Further we find that the mappings satisfying the definition of such contractions have unique fixed point if the base space is complete. Also there is an application for existing unique solution of two-point boundary value problem.

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Section: Introductionmentioning

confidence: 99%

Fixed points of (α,β,F∗) and (α,β,F∗∗)-weak Geraghty contractions with an application

Alam

Rohen

2022

Preprint

Self Cite

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On fixed point and an application of $ C^* $-algebra valued $ (\alpha, \beta) $-Bianchini-Grandolfi gauge contractions

Singh,

Rohen,

Alam

et al. 2024

MATH

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<abstract><p>It is the purpose of the present paper to obtain certain fixed point outcomes in the sense of $ C^* $-algebra valued metric spaces. Here, we present the definitions of the gauge function, the Bianchini-Grandolfi gauge function, $ \alpha $-admissibility, and $ (\alpha, \beta) $-admissible Geraghty contractive mapping in the sense of $ C^* $-algebra. Using these definitions, we define $ (\alpha, \beta) $-Bianchini-Grandolfi gauge contraction of type I and type II. Next, we prove our primary results that the function satisfying our contraction condition has to have a unique fixed point. We also explain our results using examples. Additionally, we discuss some consequent results that can be easily obtained from our primary outcomes. Finally, there is a useful application to integral calculus.</p></abstract>

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Fixed points of generalized rational (α,β,Z)-contraction mappings under simulation functions

Cited by 2 publications

References 11 publications

Fixed points of (α,β,F∗) and (α,β,F∗∗)-weak Geraghty contractions with an application

Fixed points of (α,β,F∗) and (α,β,F∗∗)-weak Geraghty contractions with an application

On fixed point and an application of $ C^* $-algebra valued $ (\alpha, \beta) $-Bianchini-Grandolfi gauge contractions

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