Some Fixed Point Results in Partial Rectangular Metric-Like Spaces

Author:

Sila Eriola1ORCID,Duraj Sidite2ORCID,Hoxha Elida1ORCID

Affiliation:

1. Department of Mathematics, Faculty of Natural Science, University of Tirana, Tirana 1054, Albania

2. Department of Mathematics, Faculty of Natural Science, University “Luigj Gurakuqi”, Shkoder 4000, Albania

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.

Publisher

Hindawi Limited

Subject

General Mathematics

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