Results 1 to 10 of about 824 (113)

Accelerating the alternating projection algorithm for the case of affine subspaces using supporting hyperplanes [PDF]

open access: yes, 2014
The von Neumann-Halperin method of alternating projections converges strongly to the projection of a given point onto the intersection of finitely many closed affine subspaces.
Pang, C. H. Jeffrey
core  

Dynamical systems and forward-backward algorithms associated with the sum of a convex subdifferential and a monotone cocoercive operator

open access: yes, 2014
In a Hilbert framework, we introduce continuous and discrete dynamical systems which aim at solving inclusions governed by structured monotone operators $A=\partial\Phi+B$, where $\partial\Phi$ is the subdifferential of a convex lower semicontinuous ...
Abbas, Boushra, Attouch, Hedy
core   +1 more source

Regularization proximal point algorithm for finding a common fixed point of a finite family of nonexpansive mappings in Banach spaces

open access: yesFixed Point Theory and Applications, 2011
We study the strong convergence of a regularization proximal point algorithm for finding a common fixed point of a finite family of nonexpansive mappings in a uniformly convex and uniformly smooth Banach space.
Tuyen Truong, Kim Jong
doaj  

Another weak convergence theorems for accretive mappings in banach spaces

open access: yesFixed Point Theory and Applications, 2011
We present two weak convergence theorems for inverse strongly accretive mappings in Banach spaces, which are supplements to the recent result of Aoyama et al. [Fixed Point Theory Appl. (2006), Art. ID 35390, 13pp.]. 2000 MSC: 47H10; 47J25.
Saejung Satit   +2 more
doaj  

On split common null point and common fixed point problems for multivalued demicontractive mappings

open access: yesDemonstratio Mathematica
In this paper, we study a new inertial algorithm for finding a common solution of the split common null point problem for two infinite families of maximal monotone operators and common fixed point problem for an infinite family of multivalued ...
Wang Yaqin, Zhang Yuanqin
doaj   +1 more source

On moving averages [PDF]

open access: yes, 2012
We show that the moving arithmetic average is closely connected to a Gauss-Seidel type fixed point method studied by Bauschke, Wang and Wylie, and which was observed to converge only numerically.
Bauschke, Heinz H.   +2 more
core  

Iterative Convergence with Banach Space Valued Functions in Abstract Fractional Calculus

open access: yesAnnals of the West University of Timisoara: Mathematics and Computer Science, 2017
The goal of this paper is to present a semi-local convergence analysis for some iterative methods under generalized conditions. The operator is only assumed to be continuous and its domain is open. Applications are suggested including Banach space valued
Anastassiou George A.   +1 more
doaj   +1 more source

An implicit iterative algorithm with errors for two families of generalized asymptotically nonexpansive mappings

open access: yesFixed Point Theory and Applications, 2011
In this paper, an implicit iterative algorithm with errors is considered for two families of generalized asymptotically nonexpansive mappings. Strong and weak convergence theorems of common fixed points are established based on the implicit iterative ...
Qin Xiaolong, Kang Shin, Agarwal Ravi
doaj  

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

open access: yesDemonstratio 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   +3 more
doaj   +1 more source

An inertial shrinking projection self-adaptive algorithm for solving split variational inclusion problems and fixed point problems in Banach spaces

open access: yesDemonstratio Mathematica
In this article, we study the split variational inclusion and fixed point problems using Bregman weak relatively nonexpansive mappings in the pp-uniformly convex smooth Banach spaces.
Ngwepe Matlhatsi Dorah   +3 more
doaj   +1 more source

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