3 results
Search Results
Now showing 1 - 3 of 3
Article Citation - WoS: 11Citation - Scopus: 7Edelstein Type Fixed Point Theorems(Tusi Mathematical Research Group, 2011) Karapinar,E.; Karapınar, Erdal; Karapınar, Erdal; Mathematics; MathematicsRecently, Suzuki [Nonlinear Anal. 71 (2009), no. 11, 5313-5317.] published a paper on which Edelstein’s fixed theorem was generalized. In this manuscript, we give some theorems which are the generalization of the fixed theorem of Suzuki’s Theorems and thus Edelstein’s result [J. London Math. Soc. 37 (1962), 74-79]. © 2011, Duke University Press. All rights reserved.Article The Existence of Positive Solutions to the Fractional Q-Differential Equations with Integral Boundary Conditions(Taylor & Francis Inc, 2026) Afshari, Hojjat; Rasouli, Hasan; Ahmadkhanlu, Asghar; Karapinar, ErdalIn this research, we investigate the existence of positive solutions to the fractional q-differential equations under new specified boundary conditions. We employ the alpha-theta-contraction fixed point theorem to analyze our results. Additionally, several examples are provided to illustrate the main results.Article Citation - Scopus: 3On the Novelty of “Contracting Perimeters of Triangles in Metric Space”(Erdal Karapinar, 2025) Karapınar, E.In this note, we investigate whether the newly introduced notion of “contracting perimeters of triangles” in the context of standard metric spaces is novel or equivalent to “a variant” of Banach contraction in the setting of G-metric spaces. By using the fact that G-metric spaces are equivalent to quasi-metric spaces, we reconsider our main question as whether the fixed-point theorems via “contracting perimeters of triangles” is equivalent to a fixed point of the same mapping in the context of quasi-metric spaces. © 2025, Erdal Karapinar. All rights reserved.
