A novel projection method for split feasibility problems with applications to compressive sensing

[1]  Suthep Suantai,et al.  Inertial projection and contraction methods for split feasibility problem applied to compressed sensing and image restoration , 2021, Optimization Letters.

[2]  Hongwei Liu,et al.  An inertial Halpern-type CQ algorithm for solving split feasibility problems in Hilbert spaces , 2021, Journal of Applied Mathematics and Computing.

[3]  Yekini Shehu,et al.  Global and linear convergence of alternated inertial methods for split feasibility problems , 2021, Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas.

[4]  Themistocles M. Rassias,et al.  General splitting methods with linearization for the split feasibility problem , 2020, Journal of Global Optimization.

[5]  Yekini Shehu,et al.  New inertial relaxed method for solving split feasibilities , 2020, Optimization Letters.

[6]  P. Cholamjiak,et al.  A New CQ Algorithm for Solving Split Feasibility Problems in Hilbert Spaces , 2019 .

[7]  Prasit Cholamjiak,et al.  On the convergence analysis of the gradient-CQ algorithms for the split feasibility problem , 2019, Numerical Algorithms.

[8]  P. Cholamjiak,et al.  On the convergence analysis of the gradient-CQ algorithms for the split feasibility problem , 2019, Numerical Algorithms.

[9]  Vu Tien Dung,et al.  A new self-adaptive CQ algorithm with an application to the LASSO problem , 2018, Journal of Fixed Point Theory and Applications.

[10]  Fenghui Wang,et al.  Polyak’s gradient method for split feasibility problem constrained by level sets , 2018, Numerical Algorithms.

[11]  Abdellatif Moudafi,et al.  l1-l2 regularization of split feasibility problems , 2017, Numerical Algorithms.

[12]  Y. Shehu,et al.  Strong convergence result for proximal split feasibility problem in Hilbert spaces , 2017 .

[13]  A. Moudafi,et al.  l1-l2 regularization of split feasibility problems , 2017, Numerical Algorithms.

[14]  Chong Li,et al.  Linear convergence of CQ algorithms and applications in gene regulatory network inference , 2017 .

[15]  Jie Sun,et al.  Inertial accelerated algorithms for solving a split feasibility problem , 2016 .

[16]  F. U. Ogbuisi,et al.  Convergence analysis for proximal split feasibility problems and fixed point problems , 2015 .

[17]  Yan Gao,et al.  The strong convergence of a three-step algorithm for the split feasibility problem , 2012, Optimization Letters.

[18]  Hong-Kun Xu,et al.  Solving the split feasibility problem without prior knowledge of matrix norms , 2012 .

[19]  Rudong Chen,et al.  A Relaxed CQ Algorithm for Solving Split Feasibility Problem , 2011, 2011 International Conference on Control, Automation and Systems Engineering (CASE).

[20]  Qingzhi Yang,et al.  Self-adaptive projection methods for the multiple-sets split feasibility problem , 2011 .

[21]  Hong-Kun Xu.  Iterative methods for the split feasibility problem in infinite-dimensional Hilbert spaces , 2010 .

[22]  Y. Censor,et al.  A unified approach for inversion problems in intensity-modulated radiation therapy , 2006, Physics in medicine and biology.

[23]  Y. Censor,et al.  The multiple-sets split feasibility problem and its applications for inverse problems , 2005 .

[24]  N. Xiu,et al.  A note on the CQ algorithm for the split feasibility problem , 2005 .

[25]  Qingzhi Yang.  The relaxed CQ algorithm solving the split feasibility problem , 2004 .

[26]  C. Byrne.  A unified treatment of some iterative algorithms in signal processing and image reconstruction , 2004 .

[27]  C. Byrne.  Iterative oblique projection onto convex sets and the split feasibility problem , 2002 .

[28]  J. Carifio,et al.  Nonlinear Analysis , 1995 .

[29]  Yair Censor,et al.  A multiprojection algorithm using Bregman projections in a product space , 1994, Numerical Algorithms.

[30]  S. Reich,et al.  Uniform Convexity, Hyperbolic Geometry, and Nonexpansive Mappings , 1984 .

[31]  Z. Opial.  Weak convergence of the sequence of successive approximations for nonexpansive mappings , 1967 .

[32]  H. H. Rachford,et al.  On the numerical solution of heat conduction problems in two and three space variables , 1956 .

[33]  A. Gibali,et al.  A new relaxed CQ algorithm for solving split feasibility problems in Hilbert spaces and its applications , 2019, Journal of Industrial & Management Optimization.

[34]  P. Cholamjiak,et al.  The modified inertial relaxed CQ algorithm for solving the split feasibility problems , 2017 .

[35]  Qamrul Hasan Ansari,et al.  Split Feasibility and Fixed Point Problems , 2014 .

[36]  J. Aubin.  Optima and Equilibria , 1993 .