Common Fixed Point for Meir–Keeler Type Contraction in Bipolar Metric Space

In mathematical analysis, the Hausdorff derivatives or the fractal derivatives play an important role. Fixed-point theorems and metric fixed-point theory have varied applications in establishing a unique common solution to differential equations and integral equations. In the present work, some fixe...
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Autor*in:	Penumarthy Parvateesam Murthy [verfasserIn] Chandra Prakash Dhuri [verfasserIn] Santosh Kumar [verfasserIn] Rajagopalan Ramaswamy [verfasserIn] Muhannad Abdullah Saud Alaskar [verfasserIn] Stojan Radenovi’c [verfasserIn]

Format:	E-Artikel
Sprache:	Englisch

Erschienen:	2022

Schlagwörter:	fixed points bipolar metric space covariant map compatible maps Cauchy bisequence

Übergeordnetes Werk:	In: Fractal and Fractional - MDPI AG, 2018, 6(2022), 11, p 649
Übergeordnetes Werk:	volume:6 ; year:2022 ; number:11, p 649

Links:	Link aufrufen Link aufrufen Link aufrufen Journal toc

DOI / URN:	10.3390/fractalfract6110649

Katalog-ID:	DOAJ085536857

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topic_facet	fixed points bipolar metric space covariant map compatible maps Cauchy bisequence Thermodynamics Mathematics Analysis
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callnumber-first	Q - Science
author	Penumarthy Parvateesam Murthy
spellingShingle	Penumarthy Parvateesam Murthy misc QC310.15-319 misc QA1-939 misc QA299.6-433 misc fixed points misc bipolar metric space misc covariant map misc compatible maps misc Cauchy bisequence misc Thermodynamics misc Mathematics misc Analysis Common Fixed Point for Meir–Keeler Type Contraction in Bipolar Metric Space
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topic_title	QC310.15-319 QA1-939 QA299.6-433 Common Fixed Point for Meir–Keeler Type Contraction in Bipolar Metric Space fixed points bipolar metric space covariant map compatible maps Cauchy bisequence
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title	Common Fixed Point for Meir–Keeler Type Contraction in Bipolar Metric Space
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title_sort	common fixed point for meir–keeler type contraction in bipolar metric space
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title_auth	Common Fixed Point for Meir–Keeler Type Contraction in Bipolar Metric Space
abstract	In mathematical analysis, the Hausdorff derivatives or the fractal derivatives play an important role. Fixed-point theorems and metric fixed-point theory have varied applications in establishing a unique common solution to differential equations and integral equations. In the present work, some fixed-point theorems using the extension of Meir–Keeler contraction in the setting of bipolar metric spaces have been proved. The derived results have been supplemented with non-trivial examples. Our results extend and generalise the results established in the past. We have provided an application to find an analytical solution to an Integral Equation to supplement the derived result.
abstractGer	In mathematical analysis, the Hausdorff derivatives or the fractal derivatives play an important role. Fixed-point theorems and metric fixed-point theory have varied applications in establishing a unique common solution to differential equations and integral equations. In the present work, some fixed-point theorems using the extension of Meir–Keeler contraction in the setting of bipolar metric spaces have been proved. The derived results have been supplemented with non-trivial examples. Our results extend and generalise the results established in the past. We have provided an application to find an analytical solution to an Integral Equation to supplement the derived result.
abstract_unstemmed	In mathematical analysis, the Hausdorff derivatives or the fractal derivatives play an important role. Fixed-point theorems and metric fixed-point theory have varied applications in establishing a unique common solution to differential equations and integral equations. In the present work, some fixed-point theorems using the extension of Meir–Keeler contraction in the setting of bipolar metric spaces have been proved. The derived results have been supplemented with non-trivial examples. Our results extend and generalise the results established in the past. We have provided an application to find an analytical solution to an Integral Equation to supplement the derived result.
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title_short	Common Fixed Point for Meir–Keeler Type Contraction in Bipolar Metric Space
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Common Fixed Point for Meir–Keeler Type Contraction in Bipolar Metric Space

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