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Fixed Point Results on Perturbed B-Metric Space
(Univ Belgrade, Fac Electrical Engineering, 2025) Karapinar, Erdal
In this paper, we introduce the notion of perturbed b-metric spaces and consider some basic topological notions on this new abstract structure. In addition, we shall discuss the existing and uniqueness of a fixed point in the setting of perturbed b-metric spaces.
Citation - WoS: 2
Citation - Scopus: 3
On Rational Contractions in Perturbed Metric Spaces
(Taylor & Francis Ltd, 2025) Alsahli, Ghaziyah; Karapinar, Erdal; Shahi, Priya
This paper aims to extend the Banach contraction principle using rational expressions in perturbed metric spaces. To illustrate the novelty and applicability of the results, several examples and an application are provided.
Citation - WoS: 1
Citation - Scopus: 2
On Perturbed-Sτ-Contractions
(Amer Inst Mathematical Sciences-Aims, 2025) Alsahli, Ghaziyah; Shahi, Priya; Karapinar, Erdal
This study aims to present novel fixed-point results within the structure of a newly introduced abstract structure known as perturbed metric spaces. As expected, these spaces naturally extend and generalize the classical metric spaces. Consequently, the key results of this study broaden, refine, and broaden the existing fixed-point results in the published outcomes.