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Abstract

Suzuki used a brilliant strategy in his seminal publications to expand the Banach contraction theorem (BCT). This has undergone numerous intriguing generalizations and extensions during the past few decades and led to a new trend of coincidence and fixed points for countless Suzuki-type contractive and non-expansive maps in the various spaces. In this article, in the setup of ƀ-metric spaces, the aim is to produce a common fixed point of three mappings subjected to a generalized contraction of the Suzuki type. The present work generalizes well- known results of Suzuki, Chandra et al., Roshan et al. and several other results available in the literature. An applied illustration in which graphical and computational analysis has been performed accords the exploratory verification of the produced work making the results more adaptable by a wider class of researchers. The iterative analysis based on iterative methods in the illustration is also supported by an algorithm. Furthermore, an application of the present work to the system of functional equations in dynamic programming shows how the present results are usable. Finally, an example is given to justify the application of the present work.

Keywords

Algorithm, ƀ-Metric space, Common fixed point, Dynamic programming, Generalized Suzuki type contraction, Iterative methods.

Subject Area

Mathematics

Article Type

Article

First Page

2044

Last Page

2061

Creative Commons License

Creative Commons Attribution 4.0 International License
This work is licensed under a Creative Commons Attribution 4.0 International License.

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