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Discussions on Perturbed Quasi-Metric Spaces
(Yokohama Publishing, 2025) Karapinar, Erdal
The main goal of this manuscript is to introduce the notion of perturbed quasi-metric spaces. Furthermore, it shall discuss the existence of basic fixed point theorems in the setting of perturbed quasi-metric spaces.
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: 6
Citation - Scopus: 9
On Interpolative Metric Spaces
(Univ Nis, Fac Sci Math, 2024) Karapinar, Erdal
The purpose of this article is to expand the "open discussion" on the definition and necessity of the interpolation metric space and keep it on the agenda of researchers in nonlinear functional analysis. The secondary aim of this article is to indicate that the outcomes of this "open discussion" have the potential to stop the recent recession in the metric fixed point theory.