Generalized Interpolative Contractions and an Application

Nazam, Muhammad; Aydi, Hassen; Hussain, Aftab

doi:10.1155/2021/6461477

Cited by 8 publications

(2 citation statements)

References 36 publications

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“…Hussain et al [19] proved a result for fixed point in FMS. Nazam et al [20] established several results for generalized interpolative contractions. Naseem et al [21] worked on the analytical approximation of fractional delay differential equations.…”

Section: Introductionmentioning

confidence: 99%

Generalized Common Best Proximity Point Results in Fuzzy Metric Spaces with Application

et al. 2023

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The symmetry of fuzzy metric spaces has benefits for flexibility, ambiguity tolerance, resilience, compatibility, and applicability. They provide a more comprehensive description of similarity and offer a solid framework for working with ambiguous and imprecise data. We give fuzzy versions of some celebrated iterative mappings. Further, we provide different concrete conditions on the real valued functions J,S:(0,1]→R for the existence of the best proximity point of generalized fuzzy (J,S)-iterative mappings in the setting of fuzzy metric space. Furthermore, we utilize fuzzy versions of J,S-proximal contraction, J,S-interpolative Reich–Rus–Ciric-type proximal contractions, J,S-Kannan type proximal contraction and J,S-interpolative Hardy Roger’s type proximal contraction to examine the common best proximity points in fuzzy metric space. Also, we establish several non-trivial examples and an application to support our results.

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Section: Introductionmentioning

confidence: 99%

Generalized Common Best Proximity Point Results in Fuzzy Metric Spaces with Application

et al. 2023

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“…Hussain [8][9][10] recently expanded this idea of Karapinar and published a few findings pertaining to these kinds of novel contractions. Nazam et al [11][12][13] introduced (Ψ, Φ)-orthogonal interpolative contractions very recently and made a few observations in the literature.…”

Section: Introductionmentioning

confidence: 99%

Fractional Differential Boundary Value Equation Utilizing the Convex Interpolation for Symmetry of Variables

Hussain

2023

Symmetry

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In this paper, we introduce a novel form of interpolative convex contraction and develop some new theorems by utilizing the progressive method of interpolative convex contractions. We also obtain some fixed point results for a Suzuki convex contraction in orbitally S-complete F-metric spaces. The second purpose of this research is to evaluate the effectiveness of the fixed point approach in solving fractional differential equations with boundary conditions.

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Fixed points of interpolative Matkowski type contraction and its application in solving non-linear matrix equations

Gautam

Kaur

2022

Rend. Circ. Mat. Palermo, II. Ser

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Generalized Interpolative Contractions and an Application

Cited by 8 publications

References 36 publications

Generalized Common Best Proximity Point Results in Fuzzy Metric Spaces with Application

Generalized Common Best Proximity Point Results in Fuzzy Metric Spaces with Application

Fractional Differential Boundary Value Equation Utilizing the Convex Interpolation for Symmetry of Variables

Fixed points of interpolative Matkowski type contraction and its application in solving non-linear matrix equations

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