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A fixed point theorem for operators of Meir–Keeler type via the degree of nondensifiability and its application in dynamic programming

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Abstract

In this paper, we prove a fixed point theorem for operators of Meir–Keeler type by using the concept of degree of nondensifiability. As an application of our result, we study the existence of solutions for a class of functional equations appearing in dynamic programming.

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Acknowledgements

The second and third authors were partially supported by the project MTM2016-79436-P. The authors are grateful to the anonymous referee for their useful comments and suggestions, which have improved the quality of the paper.

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  1. Departamento de Matemáticas, Universidad de Las Palmas de Gran Canaria, Campus de Tafira, Baja, 35017, Las Palmas de Gran Canaria, Spain

    J. Caballero, J. Harjani & K. Sadarangani

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  1. J. Caballero
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  2. J. Harjani
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  3. K. Sadarangani
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Correspondence to J. Caballero.

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Caballero, J., Harjani, J. & Sadarangani, K. A fixed point theorem for operators of Meir–Keeler type via the degree of nondensifiability and its application in dynamic programming. J. Fixed Point Theory Appl. 22, 13 (2020). https://doi.org/10.1007/s11784-019-0748-1

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  • DOI: https://doi.org/10.1007/s11784-019-0748-1

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