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International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 67 | Issue 5 | Year 2021 | Article Id. IJMTT-V67I5P516 | DOI : https://doi.org/10.14445/22315373/IJMTT-V67I5P516

Some Results on Fixed Point Theory in G-metric Space


Samjhana Koirala, Narayan Prasad Pahari
Abstract

This paper deals with the brief introduction and some existing results in G-metric space as the usual notion of a metric space . In fact, this study generalizes some recent results in the literature about metric space. We also study some fixed point theorems for contraction mapping in the context of G-metric space as the further extension and generalization of metric space.

Keywords
Metric space, G-metric space, Fixed point and Contraction mapping
References

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[11] Z. Mustafa and B. Sims (2009), Fixed point theorems for contractive mappings in complete G-metric spaces , Fixed Point Theory and Applications, (2009): 1-12
[12] Z. Mustafa , H. Obiedat and F. Awawdeh (2008). Some fixed point theorems for mapping on complete G-metric spaces, Fixed point Theory and Applications, (2008): 1-12
[13] Z. Mustafa , W. Shanta and M. Bataineh (2009). Existence of fixed piont result in G-metric spaces, International Journal of Mathematics and Mathematical Sciences, (2009): 1-10

Citation :

Samjhana Koirala, Narayan Prasad Pahari, "Some Results on Fixed Point Theory in G-metric Space," International Journal of Mathematics Trends and Technology (IJMTT), vol. 67, no. 5, pp. 150-156, 2021. Crossref, https://doi.org/10.14445/22315373/IJMTT-V67I5P516

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