Affiliation:
1. Department of Mathematics, Politehnica University of Timişoara, Piaţa Victoriei 2, 300006 Timişoara, Romania
Abstract
In this paper, we introduce a new type of contractions on a metric space (X,d) in which the distance d(x,y) is replaced with a function, depending on a parameter λ, that is not symmetric in general. This function generalizes the usual case when λ=1/2 and can take bigger values than m1/2. We call these new types of contractions λ-weak contractions and we provide some of their properties. Moreover, we investigate cases when these contractions are Picard operators.
Funder
Romanian Ministry of Research, Innovation and Digitalization
Subject
Physics and Astronomy (miscellaneous),General Mathematics,Chemistry (miscellaneous),Computer Science (miscellaneous)
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