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Hafida Massit and Mohamed Rossafi, Fixed point theorem for $(\phi,F)$-contraction on $C^{\ast}$-algebra valued metric spaces, Eur. J. Math. Appl. 1 (2021), Article ID 14.

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Volume 1 (2021), Article ID 14

https://doi.org/10.28919/ejma.2021.1.14

Published: 16/11/2021

Abstract:

Recently, a new type of mapping called $(\phi,F)$-contraction was introduced in the literature as a generalization of the concepts of contractive mappings. This present article extends the new notion in $C^{\ast}$-algebra valued metric spaces and establishing the existence and uniqueness of fixed point for them. Non-trivial examples are further provided to support the hypotheses of our results.

How to Cite:

Hafida Massit and Mohamed Rossafi, Fixed point theorem for $(\phi,F)$-contraction on $C^{\ast}$-algebra valued metric spaces, Eur. J. Math. Appl. 1 (2021), Article ID 14. https://doi.org/10.28919/ejma.2021.1.14