Fourth Edition of the International Conference on Research in Applied Mathematics and Computer Science ICRAMCS 2022
 March 24-25-26, 2022
Online and Face-to-Face Conference

ICRAMCS, 4 (2022) | Proceedings ISSN: 2605-7700

Research Communication | Open Access
Volume 2022 | Communication ID 151
Well-posedness of fixed point problem for rational type contraction in complete metric spaces with an application
Ahmed Chaouki Aouine
Academic Editor: Youssef EL FOUTAYENI
Received
Accepted
Published
January 21, 2022
March 03, 2138
April 15, 2138

Abstract: The aim of this paper is to prove for rational type contraction in complete metric spaces, that …xed point problem is well-posed. Example are provided to illustrate the validity of our results. Afterwards, we apply our theorem to study the possibility of optimally controlling the solution of an ordinary di¤erential equation via dynamic programming.