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Öğe Feng-Liu type fixed point results for multivalued mappings on JS-metric spaces(Int Scientific Research Publications, 2016) Altun, Ishak; Al Arifi, Nasir; Jleli, Mohamed; Lashin, Aref; Samet, BessemIn this paper, we present a fixed point theorem for multivalued mappings on generalized metric space in the sense of Jleli and Samet [M. Jleli, B. Samet, Fixed Point Theory Appl., 2015 (2015), 61 pages]. In fact, we obtain as a spacial case both b-metric version and dislocated metric version of Feng-Liu's fixed point result. (C) 2016 All rights reserved.Öğe A Fixed Point Theorem for JS-contraction Type Mappings with Applications to Polynomial Approximations(Univ Nis, Fac Sci Math, 2017) Altun, Ishak; Al Arifi, Nassir; Jleli, Mohamed; Lashin, Aref; Samet, BessemA fixed point theorem is established for a new class of JS-contraction type mappings. As applications, some Kelisky-Rivlin type results are obtained for linear and nonlinear q-Bernstein-Stancu operators.Öğe Lyapunov-type inequalities for a fractional p-Laplacian equation(Springeropen, 2016) Al Arifi, Nassir; Altun, Ishak; Jleli, Mohamed; Lashin, Aref; Samet, BessemIn this paper, we present new Lyapunov-type inequalities for a fractional boundary value problem that models a turbulent flow in a porous medium. The obtained inequalities are used to obtain a lower bound for the eigenvalues of corresponding equations.Öğe A New Approach for the Approximations of Solutions to a Common Fixed Point Problem in Metric Fixed Point Theory(Hindawi Publishing Corp, 2016) Altun, Ishak; Al Arifi, Nassir; Jleli, Mohamed; Lashin, Aref; Samet, BessemWe provide sufficient conditions for the existence of a unique common fixed point for a pair of mappings T,S : X > X where X is a nonempty set endowed with a certain metric. Moreover, a numerical algorithm is presented in order to approximate such solution. Our approach is different to the usual used methods in the literature.Öğe Pseudo Picard Operators On Generalized Metric Spaces(Univ Belgrade, Fac Electrical Engineering, 2018) Altun, Ishak; Samet, BessemIn this paper, we present a new class of pseudo Picard operators in the setting of generalized metric spaces introduced recently in [M. JLELI AND B. SAMET: A generalized metric space and related fixed point theorems, Fixed Point Theory Appl., (2015) 2015:61]. An example is provided to illustrate the main result.