This article is cited in 14 papers

MATHEMATICS

Fixed point theorems for new contractions with application in dynamic programming

Y. Touail, D. El Moutawakil

Sultan Moulay Slimane University, Morocco, 23000, Beni-Mellal

Abstract: In this study, we give a generalization of the well-known Reich fixed point in the setting of general topological spaces with $\tau$ -distances. As applications of the obtained result, we prove some fixed point theorems for new contraction types in metric spaces. Moreover, we establish the existence and the uniqueness of solutions for a class of functional equations arising in dynamic programming.

Keywords: fixed point, strict contraction, generalized E-weakly contractive maps, metric spaces, Hausdorff topological spaces, dynamic programming.

UDC: 515.1

MSC: 47H10, 54H25

Received: 06.12.2020
Revised: 04.08.2020
Accepted: 17.12.2020

DOI: 10.21638/spbu01.2021.213

 English version: Vestnik St. Petersburg University, Mathematics, 2021, 8:3, 206–212