Results 41 to 50 of about 483 (83)
On the viscosity rule for common fixed points of two nonexpansive mappings in CAT(0) spaces
, 2018 In this paper, we establish viscosity rule for common fixed points of two nonexpansive mappings in the framework of CAT(0) spaces. The strong convergence theorems of the proposed technique is proved under certain assumptions imposed on the sequence of ...
E. Bonyah, Maqbool Ahmad, I. Ahmad
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Demonstratio MathematicaFractional derivatives are widely used in various fields to model the historical dependence or spatial globalization of the solutions because of their nonlocal properties.
Chen Xu +3 more
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An Implicit Viscosity Technique of Nonexpansive Mapping in CAT(0) Spaces
, 2017 In this paper, we present a new viscosity technique of nonexpansive mappings in the framework of CAT(0) spaces. The strong convergence theorems of the proposed technique is proved under certain assumptions imposed on the sequence of parameters.
I. Ahmad, Maqbool Ahmad
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Ergodicity of the implicit midpoint rule for nonexpansive mappings
Journal of Inequalities and Applications, 2015 We prove a mean ergodic theorem for the implicit midpoint rule for nonexpansivemappings in a Hilbert space. We obtain weak convergence for the general case andstrong convergence for certain special cases.MSC: 47J25, 47N20, 34G20, 65J15.
Hong-Kun Xu, M. Alghamdi, N. Shahzad
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The Graves Theorem Revisited II: Robust Convergence of the Newton Method [PDF]
, 1998 AMS subject classification: 65J15, 47H04, 90C30.Based on the original proof of the Graves theorem [9] we study the convergence of the Newton method for the solution of the equation f (x) = y, uniform with respect to the starting point and the parameter y.
Dontchev, Asen
core
, 2012 In this article, we introduce iterative methods (implicit and explicit) for finding a common fixed point set of a countable family of strict pseudo-contractions, which is a unique solution of some variational inequality.
P. Sunthrayuth, Poom Kumam
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Open Journal of Mathematical Analysis, 2018 The aim of this paper is to present a viscosity approximation method for asymptotically nonexpansive mappings in Banach spaces. The strong convergence of the viscosity rules is proved with some assumptions. This paper extend and improve results presented
Muhammad Akmal +2 more
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Proximal point algorithms for zero points of nonlinear operators
, 2014 A proximal point algorithm with double computational errors for treating zero points of accretive operators is investigated. Strong convergence theorems of zero points are established in a Banach space. MSC:47H05, 47H09, 47H10, 65J15.
Yuan Qing, S. Cho
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Demonstratio MathematicaIn this article, we study the split variational inclusion and fixed point problems using Bregman weak relatively nonexpansive mappings in the pp-uniformly convex smooth Banach spaces.
Ngwepe Matlhatsi Dorah +3 more
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First order strong approximations of scalar SDEs with values in a domain [PDF]
, 2012 We are interested in strong approximations of one-dimensional SDEs which have non-Lipschitz coefficients and which take values in a domain. Under a set of general assumptions we derive an implicit scheme that preserves the domain of the SDEs and is ...
Neuenkirch, Andreas, Szpruch, Lukasz
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