Some fixed-point theorems for a general class of mappings in modular G-metric spaces

Purpose – This paper aims to prove some fixed-point theorems for a general class of mappings in modular G-metric spaces. The results of this paper generalize and extend several known results to modular G-metric spaces, including the results of Mutlu et al. [1]. Furthermore, the authors produce an ex...

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Main Authors: Godwin Amechi Okeke, Daniel Francis
Format: Article
Language:English
Published: Emerald Publishing 2022-06-01
Series:Arab Journal of Mathematical Sciences
Subjects:
Online Access:https://www.emerald.com/insight/content/doi/10.1108/AJMS-02-2021-0037/full/pdf
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author Godwin Amechi Okeke
Daniel Francis
author_facet Godwin Amechi Okeke
Daniel Francis
author_sort Godwin Amechi Okeke
collection DOAJ
description Purpose – This paper aims to prove some fixed-point theorems for a general class of mappings in modular G-metric spaces. The results of this paper generalize and extend several known results to modular G-metric spaces, including the results of Mutlu et al. [1]. Furthermore, the authors produce an example to demonstrate the applicability of the results. Design/methodology/approach – The results of this paper are theoretical and analytical in nature. Findings – The authors established some fixed-point theorems for a general class of mappings in modular G-metric spaces. The results generalize and extend several known results to modular G-metric spaces, including the results of Mutlu et al. [1]. An example was constructed to demonstrate the applicability of the results. Research limitations/implications – Analytical and theoretical results. Practical implications – The results of this paper can be applied in science and engineering. Social implications – The results of this paper is applicable in certain social sciences. Originality/value – The results of this paper are new and will open up new areas of research in mathematical sciences.
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spelling doaj.art-00a7b24ebdc143099909dbaa938744642023-06-30T09:18:56ZengEmerald PublishingArab Journal of Mathematical Sciences1319-51662588-92142022-06-0128220321610.1108/AJMS-02-2021-0037Some fixed-point theorems for a general class of mappings in modular G-metric spacesGodwin Amechi Okeke0Daniel Francis1Functional Analysis and Optimization Research Group Laboratory (FANORG), Department of Mathematics, School of Physical Sciences, Federal University of Technology, Owerri, NigeriaFunctional Analysis and Optimization Research Group Laboratory (FANORG), Department of Mathematics, School of Physical Sciences, Federal University of Technology, Owerri, NigeriaPurpose – This paper aims to prove some fixed-point theorems for a general class of mappings in modular G-metric spaces. The results of this paper generalize and extend several known results to modular G-metric spaces, including the results of Mutlu et al. [1]. Furthermore, the authors produce an example to demonstrate the applicability of the results. Design/methodology/approach – The results of this paper are theoretical and analytical in nature. Findings – The authors established some fixed-point theorems for a general class of mappings in modular G-metric spaces. The results generalize and extend several known results to modular G-metric spaces, including the results of Mutlu et al. [1]. An example was constructed to demonstrate the applicability of the results. Research limitations/implications – Analytical and theoretical results. Practical implications – The results of this paper can be applied in science and engineering. Social implications – The results of this paper is applicable in certain social sciences. Originality/value – The results of this paper are new and will open up new areas of research in mathematical sciences.https://www.emerald.com/insight/content/doi/10.1108/AJMS-02-2021-0037/full/pdfFixed pointLower semicontinuous functionModular G-metric spaces
spellingShingle Godwin Amechi Okeke
Daniel Francis
Some fixed-point theorems for a general class of mappings in modular G-metric spaces
Arab Journal of Mathematical Sciences
Fixed point
Lower semicontinuous function
Modular G-metric spaces
title Some fixed-point theorems for a general class of mappings in modular G-metric spaces
title_full Some fixed-point theorems for a general class of mappings in modular G-metric spaces
title_fullStr Some fixed-point theorems for a general class of mappings in modular G-metric spaces
title_full_unstemmed Some fixed-point theorems for a general class of mappings in modular G-metric spaces
title_short Some fixed-point theorems for a general class of mappings in modular G-metric spaces
title_sort some fixed point theorems for a general class of mappings in modular g metric spaces
topic Fixed point
Lower semicontinuous function
Modular G-metric spaces
url https://www.emerald.com/insight/content/doi/10.1108/AJMS-02-2021-0037/full/pdf
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