fixed point theorems for contractive selfmappings of a bounded metric space

fixed point theorems for contractive selfmappings of a bounded metric space

;Youssef Touail;Driss El Moutawakil;Samia Bennani
Biosensors 2019 Vol. 2019 pp. -
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.

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155047
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10.1155/2019/4175807
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