(F, L) Contractions on Complete Weak Partial Metric Spaces for a Commuting Family of Self Mappings

Main Article Content

K. Piesie Frimpong

Abstract

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].

Keywords:
(F, L) contractions, fixed point, common fixed point, weak partial metric space, commuting family of self maps.

Article Details

How to Cite
Frimpong, K. P. (2020). (F, L) Contractions on Complete Weak Partial Metric Spaces for a Commuting Family of Self Mappings. Asian Research Journal of Mathematics, 16(9), 67-76. https://doi.org/10.9734/arjom/2020/v16i930220
Section
Original Research Article

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