fixed point theorems for contractive selfmappings of a bounded metric space
;Youssef Touail;Driss El Moutawakil;Samia Bennani
Biosensors2019Vol. 2019pp. -
114
touail2019journalfixed
Abstract
The main purpose of this paper is to prove a new fixed theorem for selfmapping of a metric space (X,d). As applications, we get a new fixed point result for shrinking or contractive maps and a fixed point theorem for a new class of weakly contractive selfmappings of a bounded metric space (X,d), where the auxiliary function ϕ satisfies ϕ(0)=0 and inft>0ϕ(t)>0.