Results 51 to 60 of about 988 (114)

Strong convergence for the modified Mann's iteration of $\lambda$-strict pseudocontraction

, 2014
In this paper, for an $\lambda$-strict pseudocontraction $T$, we prove strong convergence of the modified Mann's iteration defined by $$x_{n+1}=\beta_{n}u+\gamma_nx_n+(1-\beta_{n}-\gamma_n)[\alpha_{n}Tx_n+(1-\alpha_{n})x_n],$$ where $\{\alpha_{n}\}$, $ \{
Song, Yisheng, Wang, Hongjun
core   +1 more source

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

, 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, Yewang Chen, Chih-Sheng Chuang   +2 more
semanticscholar   +1 more source

Iterative algorithms for common elements in fixed point sets and zero point sets with applications

, 2012
In this study, Mann-type iterative process is considered for finding a common element in the fixed point set of strict pseudocontractions and in the zero point set of the operator which is the sum of inverse strongly- monotone operators and maximal ...
Mingliang Zhang
semanticscholar   +1 more source

On the order of the operators in the Douglas-Rachford algorithm

, 2015
The Douglas-Rachford algorithm is a popular method for finding zeros of sums of monotone operators. By its definition, the Douglas-Rachford operator is not symmetric with respect to the order of the two operators.
Bauschke, Heinz H., Moursi, Walaa M.
core   +1 more source

Generalized Yosida inclusion problem involving multi-valued operator with XOR operation

Demonstratio Mathematica
In this article, we study a generalized Yosida variational inclusion problem involving multi-valued operator with XOR operation. It is shown that the generalized Yosida variational inclusion problem involving multi-valued operator with XOR operation is ...
Iqbal Javid, Wang Yuanheng, Rajpoot Arvind Kumar, Ahmad Rais   +3 more
doaj   +1 more source

The shrinking projection method for solving generalized equilibrium problems and common fixed points for asymptotically quasi-ϕ-nonexpansive mappings

, 2011
In this article, we introduce a new hybrid projection iterative scheme based on the shrinking projection method for finding a common element of the set of solutions of the generalized mixed equilibrium problems and the set of common fixed points for a ...
S. Saewan, Poom Kumam
semanticscholar   +1 more source

Strong convergence of a modified iterative algorithm for hierarchical fixed point problems and variational inequalities

, 2013
This article aims to deal with a new modified iterative projection method for solving a hierarchical fixed point problem. It is shown that under certain approximate assumptions of the operators and parameters, the modified iterative sequence {xn ...
Yuanheng Wang, W. Xu
semanticscholar   +1 more source

Weak Cyclic Monotonicity and Existence of Solutions of Differential Inclusions [PDF]

, 2014
The notion of weak cyclic monotonicity of set-valued maps generalizing the cyclic monotonicity is introduced. The existence of solutions of differential inclusions with compact, upper semi-continuous, not necessarily convex right-hand sides in R^n is ...
Farkhi, Elza
core  

Construction of minimum-norm fixed points of pseudocontractions in Hilbert spaces

, 2014
An iterative algorithm is introduced for the construction of the minimum-norm fixed point of a pseudocontraction on a Hilbert space. The algorithm is proved to be strongly convergent.MSC:47H05, 47H10, 47H17.
Yonghong Yao, G. Marino, Hong-Kun Xu, Y. Liou   +3 more
semanticscholar   +1 more source

Multivalued elliptic operators with nonstandard growth

Advances in Nonlinear Analysis, 2018
The paper is devoted to the Dirichlet problem for monotone, in general multivalued, elliptic equations with nonstandard growth condition. The growth conditions are more general than the well-known p⁢(x){p(x)} growth.
Avci Mustafa, Pankov Alexander
doaj   +1 more source