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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)
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 ...
Feng-Liu type fixed point results for multivalued mappings on JS-metric spaces
(Int Scientific Research Publications, 2016)
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 ...
A new concept of (alpha, F-d)-contraction on quasi metric space
(Int Scientific Research Publications, 2016)
In the present paper, we introduce a new concept of (alpha, F-d)-contraction on quasi metric space. Then we provide some new fixed point theorems for such type mappings on left K, left M and left Smyth-complete quasi metric ...
Lyapunov-type inequalities for a fractional p-Laplacian equation
(Springeropen, 2016)
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 ...
A Fixed Point Theorem for JS-contraction Type Mappings with Applications to Polynomial Approximations
(Univ Nis, Fac Sci Math, 2017)
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.