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

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K. Piesie Frimpong


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].

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

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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
Original Research Article


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