Browsing by Author "Karaplnar, Erdal"

Now showing 1 - 3 of 3

Citation - WoS: 12
Citation - Scopus: 24
Characterizations of Quasi-Metric and G-Metric Completeness Involving W-Distances and Fixed Points
(de Gruyter Poland Sp Z O O, 2022) Romaguera, Salvador; Tirado, Pedro; Karapinar, Erdal; Karaplnar, Erdal
Involving w-distances we prove a fixed point theorem of Caristi-type in the realm of (non -necessarily T-1) quasi-metric spaces. With the help of this result, a characterization of quasi-metric completeness is obtained. Our approach allows us to retrieve several key examples occurring in various fields of mathematics and computer science and that are modeled as non-T-1 quasi-metric spaces. As an application, we deduce a characterization of complete G-metric spaces in terms of a weak version of Caristi's theorem that involves a G-metric version of w-distances.
Citation - WoS: 1
Citation - Scopus: 1
Dynamics and Ulam Stability for Fractional Q-Difference Inclusions Via Picard Operators Theory
(Ovidius Univ Press, 2021) Benchohra, Mouffak; Karapinar, Erdal; Abbas, Said; Karaplnar, Erdal
In this manuscript, by using weakly Picard operators we investigate the Ulam type stability of fractional q-difference An illustrative example is given in the last section.
Citation - WoS: 61
Citation - Scopus: 83
Impulsive Caputo-Fabrizio Fractional Differential Equations in B-Metric Spaces
(de Gruyter Poland Sp Z O O, 2021) Abbas, Said; Benchohra, Mouffak; Karapinar, Erdal; Lazreg, Jamal Eddine; Karaplnar, Erdal
We deal with some impulsive Caputo-Fabrizio fractional differential equations in b-metric spaces. We make use of alpha-phi-Geraghty-type contraction. An illustrative example is the subject of the last section.