Non Linear Contraction Mapping and its Application in Dynamic Programming


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Authors

  • Himanshu Tiwari Department of Mathematics, Kalinga University, Raipur, Chhattisgarh, India
  • Subhashish Biswas Department of Mathematics, Kalinga University, Raipur, Chhattisgarh, India

Keywords:

$(\alpha -\beta)$-tripled fixed point, real valued function, functional equations, dynamic programming

Abstract

We introduce the definition of $(\alpha -\beta)$-tripled fixed point in the space of the bounded functions on a set S and we present a result about the existence and uniqueness of such points. Moreover, as an application of our result, we study the problem of existence and uniqueness of solutions for a class of systems of functional equations arising in dynamic programming.

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Published

15-03-2020

How to Cite

Himanshu Tiwari, & Subhashish Biswas. (2020). Non Linear Contraction Mapping and its Application in Dynamic Programming. International Journal of Mathematics And Its Applications, 8(1), 33–39. Retrieved from http://ijmaa.in/index.php/ijmaa/article/view/172

Issue

Vol. 8 No. 1 (2020)

Section

Research Article

License

Creative Commons License

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

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