New Common Coupled Coincidence Point Theorems for Generalized Weakly Contraction Mappings with Applications to Dynamic Programming

Authors

  • Phumin Sumalai Department of Mathematic, Faculty of Science and Technology, Muban Chombueng Rajabhat University 46 M.3, Chombueng, Ratchaburi 70150
  • Poom Kumam Department of Mathematic, Faculty of Science and Technology, Muban Chombueng Rajabhat University 46 M.3, Chombueng, Ratchaburi 70150, Thailand; KMUTT-Fixed Point Theory and Applications Research Group (KMUTT-FPTA), Theoretical and Computational Science Center (TaCS), Science Laboratory Building Faculty of Science, King Mongkut's University of Technology Thonburi (KMUTT), 126 Pracha-Uthit Road, Bang Mod, Thung Khru, Bangkok 10140
  • Chatuphol Khaofong Department of Mathematic, Faculty of Science and Technology, Muban Chombueng Rajabhat University 46 M.3, Chombueng, Ratchaburi 70150
  • Juan Martinez-Moreno Department of Mathematics, University of Jaen, Campus Las Lagunilas, 23071 Jean

DOI:

https://doi.org/10.26713/cma.v9i1.666

Keywords:

Common coupled coincidence points, Coupled coincidence point, Weakly contraction mappings, Dynamic programming

Abstract

In this paper, we define a new concept of generalized weakly contraction mapping for coupled common fixed points in the space of the bounded function. We also prove the existence and uniqueness theorems for common coupled fixed points. As an application of our result, we also study the problem of existence and uniqueness of solutions for a class of system of functional equations which appears in dynamic programming.

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References

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Published

30-04-2018
CITATION

How to Cite

Sumalai, P., Kumam, P., Khaofong, C., & Martinez-Moreno, J. (2018). New Common Coupled Coincidence Point Theorems for Generalized Weakly Contraction Mappings with Applications to Dynamic Programming. Communications in Mathematics and Applications, 9(1), 1–14. https://doi.org/10.26713/cma.v9i1.666

Issue

Vol. 9 No. 1 (2018)

Section

Research Article

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