Accelerated hybrid viscosity and steepest-descent method for proximal split feasibility problems

Y Shehu, OS Iyiola - Optimization, 2018 - Taylor & Francis
… for a nonexpansive mapping T in a real Hilbert space using … mentioned related results on
proximal split feasibility problems, we … hybrid viscosity and steepest-descent method for solving

[PDF][PDF] HYBRID STEEPEST DESCENT METHOD FOR SPLIT VARIATIONAL INCLUSION AND FINITE FAMILY OF NONEXPANSIVE MAPPINGS

C Zhan, Z Xu - Nonlinear Functional Analysis and Applications, 2016 - nfaa.kyungnam.ac.kr
… , we use hybrid steepest descent method for finding a common point of the solution set of
split variational inclusion and the fixed points set of a finite family of nonexpansive mappings in …

Nonlinear iteration method for proximal split feasibility problems

Y Shehu, OS Iyiola - Mathematical Methods in the Applied …, 2018 - Wiley Online Library
algorithm which is a combination of hybrid viscosity approximation method and the hybrid
steepest-descent method for solving … We know that P K is a nonexpansive mapping of H onto K…

Modified hybrid steepest method for the split feasibility problem in image recovery of inverse problems

K Sitthithakerngkiet, J Deepho… - … Functional Analysis and …, 2017 - Taylor & Francis
… the CQ algorithm as a fixed point algorithm for averaged mapping, and also try to study the
split feasibility problem by the following hybrid steepest … Iteration methods for nonexpansive

Steepest-descent block-iterative methods for a finite family of quasi-nonexpansive mappings.

N Buong - Journal of Industrial & Management Optimization, 2022 - search.ebscohost.com
… , for solving the variational inequality problem over the set of common fixed points of a finite
family of demiclosed quasi-nonexpansive … the generalized hybrid steepest-descent method

Hierarchical Convex Optimization by the Hybrid Steepest Descent Method with Proximal Splitting Operators—Enhancements of SVM and Lasso

I Yamada, M Yamagishi - Splitting Algorithms, Modern Operator Theory …, 2019 - Springer
… of a most desirable vector from the solution set of the standard convex … hybrid steepest
descent method to special nonexpansive operators designed through the art of proximal splitting. …

Quantitative strong convergence for the hybrid steepest descent method

D Körnlein - arXiv preprint arXiv:1610.00517, 2016 - arxiv.org
… of the Hybrid Steepest Descent Method for solving the Variational Inequality Problem for a
… for the case of a finite family of nonexpansive mappings Ti also holds for the corresponding …

A new hybrid CQ algorithm for the split feasibility problem in Hilbert spaces and its applications to compressed sensing

S Suantai, S Kesornprom, P Cholamjiak - Mathematics, 2019 - mdpi.com
… [7], we suggest a new hybrid CQ algorithm for solving the split feasibility problem and
establish weak convergence theorem in Hilbert spaces. Finally, numerical results are given for …

Applications of accelerated computational methods for quasi-nonexpansive operators to optimization problems

DR Sahu - Soft Computing, 2020 - Springer
methods are applied for solving generalized split common fixed-point problems, generalized
multiple-set spilt feasibility problems, … This method is also referred as hybrid Picard–Mann …

Convergence rates with inexact non-expansive operators

J Liang, J Fadili, G Peyré - Mathematical Programming, 2016 - Springer
methods, we also develop easily verifiable termination criteria for finding an approximate
solution… the termination criterion for the classical gradient descent method. We finally develop a …