Results 21 to 30 of about 775 (68)

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

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

Fixed point results for the complex fractal generation in the S -iteration orbit with s -convexity

open access: yes, 2018
Since the introduction of complex fractals by Mandelbrot they gained much attention by the researchers. One of the most studied complex fractals are Mandelbrot and Julia sets. In the literature one can find many generalizations of those sets. One of such
K. Gdawiec, Abdul Aziz Shahid
semanticscholar   +1 more source

Krasnoselskii-type algorithm for family of multi-valued strictly pseudo-contractive mappings

open access: yes, 2014
A Krasnoselskii-type algorithm is constructed and the sequence of the algorithm is proved to be an approximate fixed point sequence for a common fixed point of a suitable finite family of multi-valued strictly pseudo-contractive mappings in a real ...
C. Chidume, J. Ezeora
semanticscholar   +1 more source

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  

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  

Strong convergence of approximated iterations for asymptoticallypseudocontractive mappings

open access: yes, 2014
The asymptotically nonexpansive mappings have been introduced by Goebel and Kirkin 1972. Since then, a large number of authors have studied the weak and strongconvergence problems of the iterative algorithms for such a class of mappings.It is well known ...
Yonghong Yao, M. Postolache, S. Kang
semanticscholar   +1 more source

Strong convergence theorems for equilibrium problems and weak Bregman relatively nonexpansive mappings in Banach spaces

open access: yesJournal of Inequalities and Applications, 2013
In this paper, a shrinking projection algorithm based on the prediction correction method for equilibrium problems and weak Bregman relatively nonexpansive mappings is introduced and investigated in Banach spaces, and then the strong convergence of the ...
R. Agarwal, Jiawei Chen, Y. Cho
semanticscholar   +1 more source

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