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A Generalized Banach Fixed Point Theorem

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Abstract

Motivated by the recent work of Liu and Xu, we prove a generalized Banach fixed point theorem for the setting of cone rectangular Banach algebra valued metric spaces without assuming the normality of the underlying cone. Our work generalizes some recent results into cone rectangular Banach algebra valued metric spaces. An example to illustrate the main result is also presented.

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Acknowledgments

The authors are grateful to Professor Stojan Radenović for his valuable comments and suggestions on this paper.

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Correspondence to Satish Shukla.

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Communicated by Tomonari Suzuki.

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Shukla, S., Balasubramanian, S. & Pavlović, M. A Generalized Banach Fixed Point Theorem. Bull. Malays. Math. Sci. Soc. 39, 1529–1539 (2016). https://doi.org/10.1007/s40840-015-0255-5

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  • DOI: https://doi.org/10.1007/s40840-015-0255-5

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