WoS İndeksli Yayınlar Koleksiyonu
Permanent URI for this collectionhttps://hdl.handle.net/20.500.12416/8653
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Article Citation - WoS: 10Citation - Scopus: 11Revisiting ′ciric′ Type Nonunique Fixed Point Theorems Via Interpolation(Univ Politecnica Valencia, Editorial Upv, 2021) Karapinar, ErdalIn this paper, we aim to revisit some non-unique fixed point theorems that were initiated by ' Ciric ', first. We consider also some natural consequences of the obtained results. In addition, we provide a simple example to illustrate the validity of the main result.Article Citation - WoS: 1Citation - Scopus: 1Weak Proximal Normal Structure and Coincidence Quasi-Best Proximity Points(Univ Politecnica Valencia, Editorial Upv, 2020) Abkar, Ali; Karapinar, Erdal; Fouladi, FarhadWe introduce the notion of pointwise cyclic-noncyclic relatively nonexpansive pairs involving orbits. We study the best proximity point problem for this class of mappings. We also study the same problem for the class of pointwise noncyclic-noncyclic relatively nonexpansive pairs involving orbits. Finally, under the assumption of weak proximal normal structure, we prove a coincidence quasi-best proximity point theorem for pointwise cyclic-noncyclic relatively nonexpansive pairs involving orbits. Examples are provided to illustrate the observed results.Article Citation - WoS: 3Citation - Scopus: 3Quadruple Fixed Point Theorems for Nonlinear Contractions on Partial Metric Spaces(Univ Politecnica Valencia, Editorial Upv, 2014) Karapinar, Erdal; Tas, KenanThe notion of coupled fixed point was introduced by Guo and Laksmikantham [12]. Later Gnana Bhaskar and Lakshmikantham in [11] investigated the coupled fixed points in the setting of partially ordered set by defining the notion of mixed monotone property. Very recently, the concept of tripled fixed point was introduced by Berinde and Borcut [7]. Following this trend, Karapmar[19] defined the quadruple fixed point. In this manuscript, quadruple fixed point is discussed and some new fixed point theorems are obtained on partial metric spaces.