Pseudomonotone Variational Inequalities: Convergence of Proximal Methods

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

The relaxation method of finding the common point of convex sets and its application to the solution of problems in convex programming

L.M. Bregman · USSR Computational Mathematics and Mathematical Physics · 1967 · 2.6K citations

Mathematical Programming, Common Point, Engineering +10

Finite-dimensional variational inequality and nonlinear complementarity problems: A survey of theory, algorithms and applications

Patrick T. Harker, Jong‐Shi Pang · Mathematical Programming · 1990 · 1.8K citations

Mathematical Programming, Nonlinear Complementarity Problems, Engineering +10

Seven kinds of monotone maps

S. Karamardian, Siegfried Schaible · Journal of Optimization Theory and Applications · 1990 · 367 citations

Theoretical Mathematics, Combinatorics On Word, Cartography +1