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

• Published in: Arab journal of mathematical sciences Vol. 28; no. 2; pp. 203 - 216
• Main Authors: Okeke, Godwin Amechi, Francis, Daniel
• Format: Journal Article
• Language: English
• Published: Bingley Emerald Group Publishing Limited 2022; Emerald Publishing
• Subjects: Fixed point; Fixed points (mathematics); Lower semicontinuous function; Mathematical functions; Metric space; Modular G-metric spaces; Partial differential equations; Theorems
• ISSN: 1319-5166; 2588-9214
• DOI: 10.1108/AJMS-02-2021-0037

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.