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

Abstract

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.

Keywords

• Fixed point
• Lower semicontinuous function
• Modular G-metric spaces