Scopus İndeksli Yayınlar Koleksiyonu
Permanent URI for this collectionhttps://hdl.handle.net/20.500.12416/8651
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Article Extended Simulation Function via Rational Expressions(MDPI AG, 2020) de Hierro, Antonio Francisco Roldán López; Alsubaie, Rawan; Alqahtani, Badr; Karapinar, ErdalArticle A Discussion on P-Geraghty Contraction on Mw-Quasi-Metric Spaces(MDPI AG, 2020) Tirado, Pedro; Alegre, Carmen; Karapinar, Erdal; Fulga, AndreeaArticle Citation - Scopus: 13Existence of Fixed Point and Best Proximity Point of P-Cyclic Orbital φ-Contraction Map(Vilnius University Press, 2022) Magadevan, Prabavathy; Karapınar, Erdal; Karpagam, SaravananIn this manuscript, p-cyclic orbital phi-contraction map over closed, nonempty, convex subsets of a uniformly convex Banach space X possesses a unique best proximity point if the auxiliary function phi is strictly increasing. The given result unifies and extend some existing results in the related literature. We provide an illustrative example to indicate the validity of the observed result.Article A Behavioral Perspective on Price Convergence via Perturbed Metric Spaces with an Extended Contraction(Association of Mathematicians (MATDER), 2026) Bilazeroğlu, ŞeymaIn this study, we examine how investors update their price forecasts over time within a "perturbated metric space," which incorporates behavioral influences and market friction. Classical metric structures are inadequate when the measured distance changes with perceived deviations. Therefore, a new structure is proposed in which the measured distance is modified by perceived deviations. In this context, the existence of a fixed point is guaranteed through an extended contraction inequality, and the convergence behavior of the model is analyzed using different examples. Simulations established under different linear and nonlinear update functions demonstrate that the model can reflect both slow and fast market behaviors that reach equilibrium. The proposed approach mathematically demonstrates that investors can reach a common price expectation in the long run, even with heterogeneous psychological responses.