[HTML][HTML] Strong convergence of a relaxed CQ algorithm for the split feasibility problem

S He, Z Zhao - Journal of Inequalities and Applications, 2013 - Springer
The split feasibility problem (SFP) is finding a point in a given closed convex subset of a
Hilbert space such that its image under a bounded linear operator belongs to a given closed …

“Optimal” choice of the step length of the projection and contraction methods for solving the split feasibility problem

QL Dong, YC Tang, YJ Cho, TM Rassias - Journal of Global Optimization, 2018 - Springer
In this paper, first, we review the projection and contraction methods for solving the split
feasibility problem (SFP), and then by using the inverse strongly monotone property of the …

Solving the split feasibility problem without prior knowledge of matrix norms

G López, V Martín-Márquez, F Wang, HK Xu - Inverse Problems, 2012 - iopscience.iop.org
The split feasibility problem (SFP) consists in finding a point in a given closed convex subset
of a Hilbert space such that its image under a bounded linear operator belongs to a given …

The ball-relaxed CQ algorithms for the split feasibility problem

H Yu, W Zhan, F Wang - Optimization, 2018 - Taylor & Francis
The split feasibility problem (SFP) is to find so that, where C and Q are non-empty closed
convex subsets in Hilbert spaces and, respectively, and A is a linear bounded operator from …

A family of projection gradient methods for solving the multiple-sets split feasibility problem

J Wang, Y Hu, CKW Yu, X Zhuang - Journal of Optimization Theory and …, 2019 - Springer
In the present paper, we explore a family of projection gradient methods for solving the
multiple-sets split feasibility problem, which include the cyclic/simultaneous iteration …

[PDF][PDF] Hybrid extragradient methods for finding minimum-norm solutions of split feasibility problems

LC Ceng, NC Wong, JC Yao - J Nonlinear Convex Anal, 2015 - math.nsysu.edu.tw
In this paper, we consider the split feasibility problem (SFP) on a nonempty closed convex
subset C of a Hilbert space of arbitrary dimension. When C is given as the common fixed …

An iterative algorithm for solving split equilibrium problems and split equality variational inclusions for a class of nonexpansive-type maps

CE Chidume, OM Romanus, UV Nnyaba - Optimization, 2018 - Taylor & Francis
In this paper, an iterative algorithm that approximates solutions of split equality fixed point
problems (SEFPP) for quasi-φ-nonexpansive maps is constructed. Strong convergence of …

Remark on the successive projection algorithm for the multiple-sets split feasibility problem

B Qu, H Chang - Numerical Functional Analysis and Optimization, 2017 - Taylor & Francis
Recently, assuming that the metric projection onto a closed convex set is easily calculated,
Liu et al.(Numer. Func. Anal. Opt. 35: 1459–1466, 2014) presented a successive projection …

A relaxed self-adaptive CQ algorithm for the multiple-sets split feasibility problem

S He, Z Zhao, B Luo - Optimization, 2015 - Taylor & Francis
The multiple-sets split feasibility problem (MSFP) is to find a point belongs to the intersection
of a family of closed convex sets in one space, such that its image under a linear …

[引用][C] The selective projection method for convex feasibility and split feasibility problems

S He, H Tian, HK Xu - Journal of …, 2018 - YOKOHAMA PUBL 101, 6-27 …