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Fixed Point Theorem for Weakly Compatible Maps in G-Metric Space using the Property E.A


Author : Syed Shahnawaz Ali, Arifa Shaheen Khan, P.L. Sanodia and Shilpi Jain

Pages : 263-268, DOI: https://doi.org/10.14741/ijcet/v.10.2.13
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Abstract

The concept of a 𝐺− metric space was introduced by Mustafa and Sims (2006), wherein the authors discussed the topological properties of this space and proved the analog of the banach contraction principle in the context of 𝐺− metric spaces. In this Paper, we use the notion of the property E.A, to prove fixed point theorems for weakly compatible maps in 𝐺−metric space.

Keywords: G-Metric Space, Weak Compatibility, Property E.A, Fixed Point, Common Fixed Point Theorem

Article published in International Journal of Current Engineering and Technology, Vol.10, No.2 (March/April 2020)

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