Some Results Regarding \(\varphi\) -maps on G-Cone Metric Spaces with Banach Algebra

Anil Kumar Mishra *

Department of Mathematics, Govt. V.Y.T.P.G. Auto. College, Durg, Chhattisgarh, India.

Padmavati

Department of Mathematics, Govt. V.Y.T.P.G. Auto. College, Durg, Chhattisgarh, India.

*Author to whom correspondence should be addressed.


Abstract

Aims/ objectives: In our study, we used generalized contraction mapping in G-cone metric space with Banach algebras to establish various fixed point and common fixed point results. Beg [1] defines this space in terms of a few contractive conditions on \(\varphi\) -maps. Our outcomes are a generalization and an extension of several well-known fixed point results.

Keywords: Banach algebras, common fixed point, G-cone metric spaces, generalized Lipschitz conditions


How to Cite

Mishra, A. K., & Padmavati. (2024). Some Results Regarding \(\varphi\) -maps on G-Cone Metric Spaces with Banach Algebra. Asian Research Journal of Mathematics, 20(3), 40–50. https://doi.org/10.9734/arjom/2024/v20i3789

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