Results 31 to 40 of about 160 (66)

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
semanticscholar   +1 more source

Fast solution strategies for time-space fractional linear complementarity problems governing American options pricing

Demonstratio Mathematica
Fractional 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, Lei Siu-Long, She Zi-Hang, Wang Wenfei   +3 more
doaj   +1 more source

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
semanticscholar   +1 more source

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
semanticscholar   +2 more sources

Viscosity Methods for Approximating Solutions of Variational Inequalities for Asymptotically Nonexpansive Mappings

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, Muhammad Saqib Khan, Shahzad Ahmad Maitla   +2 more
semanticscholar   +1 more source

Iterative methods for variational inequality problems and fixed point problems of a countable family of strict pseudo-contractions in a q-uniformly smooth Banach space

, 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
semanticscholar   +1 more source

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
semanticscholar   +1 more source

An inertial shrinking projection self-adaptive algorithm for solving split variational inclusion problems and fixed point problems in Banach spaces

Demonstratio Mathematica
In 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, Jolaoso Lateef Olakunle, Aphane Maggie, Adiele Ugochukwu Oliver   +3 more
doaj   +1 more source

The contraction-proximal point algorithm with square-summable errors

, 2013
In this paper, we study the contraction-proximal point algorithm for approximating a zero of a maximal monotone mapping. The norm convergence of such an algorithm has been established under two new conditions.
C. Tian, Fenghui Wang
semanticscholar   +1 more source

Iterative methods for constrained convex minimization problem in Hilbert spaces

, 2013
In this paper, based on Yamada’s hybrid steepest descent method, a general iterative method is proposed for solving constrained convex minimization problem.
M. Tian, Li-Hua Huang
semanticscholar   +1 more source