Open AccessFixed point theorems for new contractions with application in dynamic programming
Author(s) -
Youssef Touail,
Driss El Moutawakil
Publication year - 2021
Publication title -
vestnik sankt-peterburgskogo universiteta. matematika. mehanika. astronomiâ/vestnik sankt-peterburgskogo universiteta. seriâ 1, matematika, mehanika, astronomiâ
Language(s) - English
Resource type - Journals
eISSN - 2587-5884
pISSN - 1025-3106
DOI - 10.21638/spbu01.2021.213
Subject(s) - uniqueness , generalization , metric space , mathematics , fixed point , fixed point theorem , contraction (grammar) , class (philosophy) , coincidence point , pure mathematics , contraction principle , discrete mathematics , topology (electrical circuits) , computer science , mathematical analysis , combinatorics , artificial intelligence , medicine
In this study, we give a generalization of the well-known Reich fixed point in the setting of general topological spaces with τ -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.