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Article Citation - WoS: 61Best Proximity Points for Generalized α-ψ-Proximal Contractive Type Mappings(Hindawi Ltd, 2013) Jleli, Mohamed; Karapinar, Erdal; Samet, BessemWe introduce a new class of non-self-contractive mappings. For such mappings, we study the existence and uniqueness of best proximity points. Several applications and interesting consequences of our obtained results are derived.Article Citation - WoS: 7Positive Solutions for Multipoint Boundary Value Problems for Singular Fractional Differential Equations(Hindawi Ltd, 2014) Jleli, Mohamed; Karapinar, Erdal; Samet, BessemA class of nonlinear multipoint boundary value problems for singular fractional differential equations is considered. By means of a coupled fixed point theorem on ordered sets, some results on the existence and uniqueness of positive solutions are obtained.Article Citation - WoS: 9Citation - Scopus: 9Fixed Point Theorems for Various Classes of Cyclic Mappings(Hindawi Ltd, 2012) Aydi, Hassen; Karapinar, Erdal; Samet, BessemWe introduce new classes of cyclic mappings and we study the existence and uniqueness of fixed points for such mappings. The presented theorems generalize and improve several existing results in the literature.Article Citation - WoS: 16Citation - Scopus: 21Further Remarks on Fixed-Point Theorems in the Context of Partial Metric Spaces(Hindawi Ltd, 2013) Jleli, Mohamed; Karapinar, Erdal; Samet, BessemNew fixed-point theorems on metric spaces are established, and analogous results on partial metric spaces are deduced. This work can be considered as a continuation of the paper Samet et al. (2013).Article Citation - WoS: 15Citation - Scopus: 21A Best Proximity Point Result in Modular Spaces with the Fatou Property(Hindawi Ltd, 2013) Jleli, Mohamed; Karapinar, Erdal; Samet, BessemConsider a nonself-mapping T: A -> B, where (A, B) is a pair of nonempty subsets of a modular space. X-rho. A best proximity point of T is a point z is an element of A satisfying the condition: rho(z - Tz) = inf {rho(x-y) : (x,y) is an element of A x B}. In this paper, we introduce the class of proximal quasicontraction nonself-mappings in modular spaces with the Fatou property. For such mappings, we provide sufficient conditions assuring the existence and uniqueness of best proximity points.
