Results 41 to 50 of about 775 (68)

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

Solutions for a variational inclusion problem with applications to multiple sets split feasibility problems

open access: yes, 2013
In this paper, we first study the set of common solutions for two variational inclusion problems in a real Hilbert space and establish a strong convergence theorem of this problem.
Lai-Jiu Lin   +2 more
semanticscholar   +1 more source

Weak and strong convergence theorems for relatively nonexpansive multi-valued mappings in Banach spaces

open access: yes, 2011
In this paper, an iterative sequence for relatively nonexpansive multi-valued mappings by using the notion of generalized projection is introduced, and then weak and strong convergence theorems are proved.2000 Mathematics Subject Classification: 47H09 ...
S. Homaeipour, A. Razani
semanticscholar   +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

A general composite iterative method for strictly pseudocontractive mappings in Hilbert spaces

open access: yes, 2014
In this paper, we introduce a new general composite iterative method for finding a fixed point of a strictly pseudocontractive mapping in Hilbert spaces.
J. Jung
semanticscholar   +1 more source

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