Results 31 to 40 of about 811 (109)
A strong convergence theorem for a zero of the sum of a finite family of maximally monotone mappings
Demonstratio Mathematica, 2020 The purpose of this article is to study the method of approximation for zeros of the sum of a finite family of maximally monotone mappings and prove strong convergence of the proposed approximation method under suitable conditions. The method of proof is
Wega Getahun B. +2 more
doaj +1 more source
The implicit midpoint rule for nonexpansive mappings
, 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
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2016 Let K be a non-empty closed subset of a Banach space X endowed with a graph G. We obtain fixed point theorems for nonself G-contractions of Chatterjea type.
Balog Laszlo +2 more
doaj +1 more source
, 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
The split equilibrium problem and its convergence algorithms
, 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
Solving an abstract nonlinear eigenvalue problem by the inverse iteration method
, 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
, 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
, 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
, 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
, 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