Convergence theorems for inertial KM-type algorithms

Monotone Operators and the Proximal Point Algorithm

R. T. Rockafellar · SIAM Journal on Control and Optimization · 1976 · 3.6K citations

Mathematical Programming, Numerical Analysis, Engineering +13

On the Douglas—Rachford splitting method and the proximal point algorithm for maximal monotone operators

Jonathan Eckstein, Dimitri P. Bertsekas · Mathematical Programming · 1992 · 2.8K citations · Full text

Numerical Analysis, Conic Optimization, Douglas—rachford Splitting Method +6

Weak convergence of the sequence of successive approximations for nonexpansive mappings

Z. Opial · Bulletin of the American Mathematical Society · 1967 · 2.3K citations · Full text

Numerical Analysis, Engineering, Variational Analysis +8

A unified treatment of some iterative algorithms in signal processing and image reconstruction

Charles L. Byrne · Inverse Problems · 2003 · 1.3K citations

Image Reconstruction, Image Analysis, Engineering +14

Iterative oblique projection onto convex sets and the split feasibility problem

Charles L. Byrne · Inverse Problems · 2002 · 1K citations

Mathematical Programming, Numerical Analysis, Engineering +16