Open Access(F, L) Contractions on Complete Weak Partial Metric Spaces for a Commuting Family of Self Mappings
Author(s) -
K. Piesie Frimpong
Publication year - 2020
Publication title -
asian research journal of mathematics
Language(s) - English
Resource type - Journals
ISSN - 2456-477X
DOI - 10.9734/arjom/2020/v16i930220
Subject(s) - mathematics , contraction (grammar) , limit (mathematics) , metric space , combinatorics , pure mathematics , discrete mathematics , mathematical analysis , medicine
The aim of this paper is to clarify the choice of the self map T : X → X in Kaya et als (F,L) weak contractions by choosing a family Tn, n ∈ N of (F,L) contractions. Motivated by the fact that the uniform limit T of the family of self maps is a better approximation, we are guaranteed the choice of the self map. By this, the choice of T is no longer arbitrary. Again, for any nite family T1, T2, T3, · · · , TN of (F,L) contractions their composition is an (F,L) contraction. This concept generalizes and improves on several results especially Theorems 3.1 and 3.2 of [10].