Results 41 to 50 of about 824 (113)

The strong convergence theorems for split common fixed point problem ofasymptotically nonexpansive mappings in Hilbert spaces

open access: yes, 2015
In this paper, an iterative algorithm is introduced to solve the split common fixedpoint problem for asymptotically nonexpansive mappings in Hilbert spaces.
Xin-Fang Zhang   +3 more
semanticscholar   +1 more source

The implicit midpoint rule for nonexpansive mappings

open access: yes, 2014
The implicit midpoint rule (IMR) for nonexpansive mappings is established. The IMR generates a sequence by an implicit algorithm. Weak convergence of this algorithm is proved in a Hilbert space.
M. Alghamdi   +3 more
semanticscholar   +1 more source

Generalized implicit viscosity approximation method for multivalued mappings in CAT(0) spaces

open access: yesDemonstratio Mathematica, 2019
We prove strong convergence of the sequence generated by implicit viscosity approximation method involving a multivalued nonexpansive mapping in framework of CAT(0) space.
Abbas Mujahid   +2 more
doaj   +1 more source

Algorithms with strong convergence for the split common solution of the feasibility problem and fixed point problem

open access: yes, 2014
The purpose of this paper is to study the split feasibility problem and fixed point problem involved in the pseudocontractive mappings. We construct an iterative algorithm and prove its strong convergence. MSC:47J25, 47H09, 65J15, 90C25.
Yonghong Yao   +3 more
semanticscholar   +1 more source

Solving an abstract nonlinear eigenvalue problem by the inverse iteration method

open access: yes, 2017
Let $\left( X,\left\Vert \cdot\right\Vert_{X}\right) $ and $\left( Y,\left\Vert \cdot\right\Vert_{Y}\right) $ be Banach spaces over $\mathbb{R},$ with $X$ uniformly convex and compactly embedded into $Y.$ The inverse iteration method is applied to solve ...
Ercole, Grey
core   +1 more source

Iterative algorithms with errors for zero points of m-accretive operators

open access: yes, 2013
In this paper, we study the convergence of paths for continuous pseudocontractions in a real Banach space. As an application, we consider the problem of finding zeros of m-accretive operators based on an iterative algorithm with errors.
X. Qin, S. Cho, Lin Wang
semanticscholar   +1 more source

Approximation of the common minimum-norm fixed point of a finite family of asymptotically nonexpansive mappings

open access: yes, 2013
We introduce an iterative process which converges strongly to the common minimum-norm fixed point of a finite family of asymptotically nonexpansive mappings.
H. Zegeye, N. Shahzad
semanticscholar   +1 more source

Local Analysis of Inverse Problems: H\"{o}lder Stability and Iterative Reconstruction

open access: yes, 2012
We consider a class of inverse problems defined by a nonlinear map from parameter or model functions to the data. We assume that solutions exist. The space of model functions is a Banach space which is smooth and uniformly convex; however, the data space
Ammari H   +12 more
core   +1 more source

The split equilibrium problem and its convergence algorithms

open access: yes, 2012
The purpose of this paper is to introduce a split equilibrium problem (SEP) and find a solution of the equilibrium problem such that its image under a given bounded linear operator is a solution of another equilibrium problem.
Zhenhua He
semanticscholar   +1 more source

Strong convergence theorems by hybrid projection methods for equilibrium problems and fixed point problems of the asymptotically quasi-ϕ-nonexpansive mappings

open access: yes, 2011
We consider a hybrid projection method for finding a common element in the fixed point set of an asymptotically quasi-ϕ-nonexpansive mapping and in the solution set of an equilibrium problem. Strong convergence theorems of common elements are established
J. Kim
semanticscholar   +1 more source

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