Fixed Point Theorems for Contractive Selfmappings of a Bounded Metric Space

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 i n f t > 0 ϕ ( t ) > 0 .

Abstract licence: CC BY

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