Results 1 to 10 of about 824 (113)
Accelerating the alternating projection algorithm for the case of affine subspaces using supporting hyperplanes [PDF]
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
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
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
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
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
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
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
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
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
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
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