SOME COMMON FIXED POINT THEOREMS FOR F -CONTRACTION MAPPINGS WITH APPLICATIONS TO FUNCTIONAL EQUATIONS IN THE DYNAMIC PROGRAMMING

Authors

  • Kanokwan Sawangsup Department of Mathematics, Faculty of Science and Agricultural Technology, Rajamangala University of Technology Lanna, Chiang Mai 50300, Thailand
  • Wutiphol Sintunavarat Department of Mathematics and Statistics, Faculty of Science and Technology, Thammasat University Rangsit Center, Pathumthani 12120, Thailand

Keywords:

F-contraction mapping, α-coupled common fixed point, Functional equation, Fixed point, Dynamic programming

Abstract

The purpose of this work is to prove the existence and uniqueness of a common fixed point of an F-contraction mapping in complete metric spaces. Moreover, we also extend our common fixed point results to an α-coupled common fixed point result. Finally, we discuss the existence and uniqueness for a common solution of coupled systems of functional equations in terms of F-contraction mappings.

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Published

2021-12-31

How to Cite

Sawangsup, K., & Sintunavarat, W. (2021). SOME COMMON FIXED POINT THEOREMS FOR F -CONTRACTION MAPPINGS WITH APPLICATIONS TO FUNCTIONAL EQUATIONS IN THE DYNAMIC PROGRAMMING. Bangmod International Journal of Mathematical and Computational Science, 7, 126–135. Retrieved from https://bangmodjmcs.com/index.php/bangmodmcs/article/view/31

Issue

Vol. 7 (2021): January-December

Section

Research Article

License

Copyright (c) 2021 Bangmod International Journal of Mathematical and Computational Science

Creative Commons License

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