Scopus İndeksli Yayınlar Koleksiyonu
Permanent URI for this collectionhttps://hdl.handle.net/20.500.12416/8651
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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: 10Citation - Scopus: 11On Interpolative Hardy-Rogers Type Multivalued Contractions Via a Simulation Function(Univ Nis, Fac Sci Math, 2022) Ali, Ahsan; Hussain, Azhar; Aydi, Hassen; Karapinar, ErdalIn this paper, the notion of multivalued interpolative Hardy-Rogers-contractions using generalized simulation functions is introduced. We establish some related fixed point results and we provide some examples. We also prove data dependence of the fixed point sets. Moreover, we present strict fixed point set, well-posedness and homotopy results.Article Citation - WoS: 12Citation - Scopus: 16Super Metric Spaces(Univ Nis, Fac Sci Math, 2022) Karapinar, Erdal; Khojasteh, FarshidThe aim of this paper is to propose a new generalization of metric space which may open a new framework. As an application, we consider the analog of Banach contraction mapping principle that works properly.Article Citation - WoS: 2Citation - Scopus: 2A Discussion on the Coincidence Quasi-Best Proximity Points(Univ Nis, Fac Sci Math, 2021) Abkar, Ali; Karapinar, Erdal; Fouladi, FarhadIn this paper, we first introduce a new class of the pointwise cyclic-noncyclic proximal contraction pairs. Then we consider the coincidence quasi-best proximity point problem for this class. Finally, we study the coincidence quasi-best proximity points of weak cyclic-noncyclic Kannan contraction pairs. We consider an example to indicate the validity of the main result.Article Citation - WoS: 6Citation - Scopus: 7A Discussion on a Pata Type Contraction Via Iterate at a Point(Univ Nis, Fac Sci Math, 2020) Fulga, Andreea; Rakocevic, Vladimir; Karapinar, ErdalIn this paper, we introduce the notion of Pata type contraction at a point in the context of a complete metric space. We observe that such contractions possesses unique fixed point without continuity assumption on the given mapping. Thus, is extended the original results of Pata. We also provide an example to illustrate its validity.Article Citation - WoS: 2Citation - Scopus: 5Fractional Differential Equations With Maxima on Time Scale Via Picard Operators(Univ Nis, Fac Sci Math, 2023) Benkhettou, Nadia; Lazreg, Jamal Eddine; Benchohra, Mouffak; Karapinar, ErdalIn this paper, we prove a result of existence and uniqueness of solutions for the following class of problem of initial value for differential equations with maxima and Caputo's fractional order on the time scales:c increment omega a u(& thetasym;) = zeta(& thetasym;, u(& thetasym;), max sigma E[a,& thetasym;] u(sigma)), & thetasym; E J : = [a,b]T, 0 < omega <1,u(a) = phi,We used the techniques of the Picard and weakly Picard operators to obtain some data dependency on the parameters results.Article Citation - WoS: 9Citation - Scopus: 14Study of Γ-Simulation Functions, Zγ-Contractions and Revisiting the L-Contractions(Univ Nis, Fac Sci Math, 2021) Joonaghany, Gh Heidary; Khojasteh, E.; Radenovic, S.; Karapinar, E.; Khojasteh, F.; Heidary Joonaghany, Gh.In this paper, we introduce the notions of Z(Gamma)-contractions and Suzuki Z(Gamma)-contractions via Gamma-simulation functions. By using these new contractions, we extend and unify several existing fixed point results in the corresponding literature. We also show that the recently defined notion of L-simulation function is an special case of Z(Gamma)-contraction. In addition, some notable examples are given to illustrate and support the obtained results.Article Citation - WoS: 2Citation - Scopus: 3Revisiting the Meir-Keeler Contraction Via Simulation Function(Univ Nis, Fac Sci Math, 2020) Fulga, Andreea; Kumam, Poom; Karapinar, ErdalIn this paper, we aim to obtain a fixed point theorem which guarantee the existence of a fixed point for both the continuous and discontinuous mappings that fullfill certain conditions in the context of metric space. We also consider some examples to illustrate our results.Article Citation - Scopus: 1A Fixed Point Theorem and an Application for the Cauchy Problem in the Scale of Banach Spaces(Univ Nis, Fac Sci Math, 2020) Karapinar, Erdal; Vo Viet Tri; Tri, Vo VietThe main aim of this paper is to prove the existence of the fixed point of the sum of two operators in setting of the cone-normed spaces with the values of cone-norm belonging to an ordered locally convex space. We apply this result to prove the existence of global solution of the Cauchy problem with perturbation of the form {x'(t) = f[t, x(t)] + g[t, x(t)], t is an element of[0,infinity), x(0) = x(0)is an element of F-1, in a scale of Banach spaces f(F-s; parallel to center dot parallel to(s)) : s is an element of(0, 1]}.Article Citation - WoS: 1Citation - Scopus: 1Fractional Differential Equation With a Complex Potential(Univ Nis, Fac Sci Math, 2020) Ugurlu, Ekin; Tas, Kenan; Baleanu, DumitruIn this manuscript, we discuss the square-integrable property of a fractional differential equation having a complex-valued potential function and we show that at least one of the linearly independent solutions of the fractional differential equation must be squarely integrable with respect to some function containing the imaginary parts of the spectral parameter and the potential function.