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    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, Bessem
    In 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.
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    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, Bessem
    A 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.
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    Lyapunov-type inequalities for a fractional p-Laplacian equation
    (Springeropen, 2016) Al Arifi, Nassir; Altun, Ishak; Jleli, Mohamed; Lashin, Aref; Samet, Bessem
    In 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.
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    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, Bessem
    We 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.