Some Fixed Point Results in Partial Rectangular Metric-Like Spaces

Eriola Sila, Sidite Duraj, Elida Hoxha and Ljubisa Kocinac

Journal of Mathematics, 2021, vol. 2021, 1-9

Abstract: In this paper, we introduce a new concept of partial rectangular metric-like space and prove some results on the existence and uniqueness of a fixed point of a function T:X⟶X, defined on a partial rectangular metric-like space X, which fulfills a nonlinear contractive condition using a comparison function and the diameter of the orbits. The obtained results generalize some previously acknowledged results in partial metric spaces, partial rectangular metric spaces, and rectangular metric-like spaces. The examples presented prove the usefulness of the introduced generalizations.

Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:5577776

DOI: 10.1155/2021/5577776

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