Results 71 to 80 of about 824 (113)

Generalized viscosity approximation methods for nonexpansive mappings

open access: yesFixed Point Theory and Applications, 2014
We combine a sequence of contractive mappings {fn} and propose a generalized viscosity approximation method. One side, we consider a nonexpansive mapping S with the nonempty fixed point set defined on a nonempty closed convex subset C of a real Hilbert ...
Peichao Duan, Songnian He
semanticscholar   +1 more source

On hybrid split problem and its nonlinear algorithms

open access: yes, 2013
In this paper, we study a hybrid split problem (HSP for short) for equilibrium problems and fixed point problems of nonlinear operators. Some strong and weak convergence theorems are established.MSC:47J25, 47H09, 65K10.
Zhenhua He, Wei-Shih Du
semanticscholar   +1 more source

On the viscosity rule for common fixed points of two nonexpansive mappings in CAT(0) spaces

open access: yes, 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

A Unified Algorithm for Solving Split Generalized Mixed Equilibrium Problem, and for Finding Fixed Point of Nonspreading Mapping in Hilbert Spaces

open access: yesDemonstratio Mathematica, 2018
The purpose of this paper is to study a split generalized mixed equilibrium problem and a fixed point problem for nonspreading mappings in real Hilbert spaces.We introduce a new iterative algorithm and prove its strong convergence for approximating a ...
Jolaoso Lateef Olakunle   +3 more
doaj   +1 more source

An Implicit Viscosity Technique of Nonexpansive Mapping in CAT(0) Spaces

open access: yes, 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

On Parabolic Variational Inequalities with Multivalued Terms and Convex Functionals

open access: yesAdvanced Nonlinear Studies, 2018
In this paper, we consider the following parabolic variational inequality containing a multivalued term and a convex functional: Find u∈Lp⁢(0,T;W01,p⁢(Ω)){u\in L^{p}(0,T;W^{1,p}_{0}(\Omega))} and f∈F⁢(⋅,⋅,u){f\in F(\cdot,\cdot,u)} such that u⁢(⋅,0)=u0{u(\
Le Vy Khoi, Schmitt Klaus
doaj   +1 more source

A strong convergence theorem for equilibrium problems and split feasibility problems in Hilbert spaces

open access: yes, 2014
The main purpose of this paper is to introduce an iterative algorithm for equilibrium problems and split feasibility problems in Hilbert spaces. Under suitable conditions we prove that the sequence converges strongly to a common element of the set of ...
Jinfang Tang, Shih-sen Chang, Fei Yuan
semanticscholar   +1 more source

On the set of common fixed points of semigroups of nonlinear mappings in modular function spaces

open access: yes, 2014
We prove that the set of all common fixed points for a continuous nonexpansive semigroup of nonlinear mappings acting in modular function spaces can be represented as an intersection of fixed points sets of two nonexpansive mappings.
Saud M. Alsulami, W. Kozlowski
semanticscholar   +1 more source

Signal recovery and polynomiographic visualization of modified Noor iteration of operators with property (E)

open access: yesDemonstratio Mathematica
This article aims to provide a modified Noor iterative scheme to approximate the fixed points of generalized nonexpansive mappings with property (EE) called MN-iteration.
Paimsang Papinwich, Thianwan Tanakit
doaj   +1 more source

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