Mathematics and Statistics Vol. 11(5), pp. 767 - 777
DOI: 10.13189/ms.2023.110502
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A Study on Tripled Fixed Point Results in G_JS-Metric Space

D. Srilatha ^*, V. Kiran
Department of Mathematics, University College of Science, Osmania University, India

ABSTRACT

Generalization of metric spaces is always an evergreen topic of interest to many researchers. In order to generalize a metric space, researchers proposed various methods like by weakening any one condition from the definition of a metric or combining the notion of one metric space with the notion of one or more other metric spaces. Recently, S^JS–metric space and S_b-metric space have been introduced by combining the notion of S - metric space with JS-metric space and b-metric space respectively. Similarly, G_b–metric space has been introduced as the generalization of G–metric space using b–metric. This notion motivated the present study. The purpose of this article is to introduce G_JS-metric space and to present some fixed point theorems in G_JS-metric space. By introducing the idea of G_JS-metric space, we combined the notions of two metric spaces namely, G-metric space and JS-metric space. First, we begin with some basic definitions which are useful for the introduction of G_JS–metric and then proceed with the necessary standard topological concepts of G_JS-metric space. Then, using these topological concepts, we achieve some specific and principal results on G_JS-metric space. Further, by providing suitable examples where ever required, we demonstrate the independent nature of G-metric space, G_JS-metric space and JS-metric space. Further, we validate the conditions for the presence of tripled fixed point and verify its uniqueness by considering various cases on G_JS-metric space.

KEYWORDS
G-Metric Space, JS-Metric Space, G_JS-Metric Space, Mixed Monotone Property, Tripled Fixed Point

Cite This Paper in IEEE or APA Citation Styles
(a). IEEE Format:
[1] D. Srilatha , V. Kiran , "A Study on Tripled Fixed Point Results in G_JS-Metric Space," Mathematics and Statistics, Vol. 11, No. 5, pp. 767 - 777, 2023. DOI: 10.13189/ms.2023.110502.

(b). APA Format:
D. Srilatha , V. Kiran (2023). A Study on Tripled Fixed Point Results in G_JS-Metric Space. Mathematics and Statistics, 11(5), 767 - 777. DOI: 10.13189/ms.2023.110502.