Scopus İndeksli Yayınlar Koleksiyonu
Permanent URI for this collectionhttps://hdl.handle.net/20.500.12416/8651
Browse
6 results
Search Results
Article Sequences of Nonlinear Quasi Contractions and Fixed Points(Univ Nis, Fac Sci Math, 2022) Chi, Kieu Phuong; Karapinar, Erdal; Thanh, Tran DucIn this paper, we state some results on the relationship between the convergence of the nonlinear quasi-contractions and the convergence of their fixed point. The observed results certainly extend some existing results on the topic in the literature, including the results of Nadler and Park. We also furnish an illustrative example to demonstrate the validity of the results expressed.Article Citation - WoS: 4Citation - Scopus: 3A Fixed Point Theorem for Proinov Mappings With a Contractive Iterate(Zhejiang Univ Press, 2023) Fulga, Andreea; Karapinar, ErdalIn this paper, we consider the fixed point theorem for Proinov mappings with a contractive iterate at a point. In other words, we combine and unify the basic approaches of Proinov and Sehgal in the framework of the complete metric spaces. We consider examples to illustrate the validity of the obtained result.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.Article Citation - WoS: 25Citation - Scopus: 23Existence and Uniqueness of Solutions for Fractional Nonlinear Hybrid Impulsive System(Wiley, 2022) Jarad, Fahd; Valliammal, Natarajan; Ravichandran, Chokkalingam; Nisar, Kottakkaran Sooppy; Gupta, VidushiThe investigation of existence and uniqueness of impulsive dynamical fractional systems with quadratic perturbation of second type subject to nonlocal boundary conditions is presented and proved. By employing the fractional theory, Banach contraction technique, and Krasnoselskii's fixed point theorem, we derived some sufficient conditions to ensure the existence of our system. An example is offered to enhance the applicability of the results obtained.Article Citation - WoS: 8Citation - Scopus: 11On the Solutions of a Fractional Boundary Value Problem(Tubitak Scientific & Technological Research Council Turkey, 2018) Ugurlu, Ekin; Baleanu, Dumitru; Tas, KenanThis paper is devoted to showing the existence and uniqueness of solution of a regular second-order nonlinear fractional differential equation subject to the ordinary boundary conditions. The Banach fixed point theorem is used to prove the results.Article On the solutions of a fractional boundary value problem(Scientific Technical Research Council Turkey-Tubitak, 2018) Uğurlu, Ekin; Baleanu, Dumitru; Taş, KenanThis paper is devoted to showing the existence and uniqueness of solution of a regular second-order nonlinear fractional differential equation subject to the ordinary boundary conditions. The Banach fixed point theorem is used to prove the results.