A Strongly Convergent Direct Method for Monotone Variational Inequalities in Hilbert Spaces
From MaRDI portal
Publication:3615531
DOI10.1080/01630560902735223zbMath1161.49002OpenAlexW2063647982MaRDI QIDQ3615531
José Yunier Bello Cruz, Alfredo Noel Iusem
Publication date: 20 March 2009
Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/01630560902735223
maximal monotone operatorsstrong convergenceprojection methodmonotone variational inequalitiesKorpelevich's methodArmijo-type search
Numerical mathematical programming methods (65K05) Nonlinear programming (90C30) Variational inequalities (49J40) Monotone operators and generalizations (47H05) Numerical methods based on nonlinear programming (49M37)
Related Items
An explicit algorithm for monotone variational inequalities, Subgradient algorithms for solving variable inequalities, A relaxed-projection splitting algorithm for variational inequalities in Hilbert spaces, A self-adaptive extragradient algorithm for solving quasimonotone variational inequalities, Forcing strong convergence of Korpelevich's method in Banach spaces with its applications in game theory, A new extragradient-like method for solving variational inequality problems, Korpelevich's method for variational inequality problems on Hadamard manifolds, A new iterative scheme for a countable family of relatively nonexpansive mappings and an equilibrium problem in Banach spaces, A Korpelevich-like algorithm for variational inequalities, A direct splitting method for nonsmooth variational inequalities, A strong convergence theorem for solving pseudo-monotone variational inequalities using projection methods, On gradient projection methods for strongly pseudomonotone variational inequalities without Lipschitz continuity, On a modified extragradient method for variational inequality problem with application to industrial electricity production, Two modified extragradient algorithms for solving variational inequalities, On the weak and strong convergence of modified forward-backward-half-forward splitting methods, Common solutions to variational inequalities, Unnamed Item, Low-cost modification of Korpelevich's methods for monotone equilibrium problems, A subgradient-like algorithm for solving vector convex inequalities, Full convergence of an approximate projection method for nonsmooth variational inequalities, Strong convergence of a double projection-type method for monotone variational inequalities in Hilbert spaces, Strong Convergence of a Projection-Type Method for Mixed Variational Inequalities in Hilbert Spaces, Variant extragradient-type method for monotone variational inequalities, A modified Korpelevich's method convergent to the minimum-norm solution of a variational inequality, Unnamed Item, Iterative solutions for solving variational inequalities and fixed-point problems, A parallel extragradient-like projection method for unrelated variational inequalities and fixed point problems, Iterative algorithms for solving fixed point problems and variational inequalities with uniformly continuous monotone operators, On Weak and Strong Convergence of the Projected Gradient Method for Convex Optimization in Real Hilbert Spaces, Modified modulus-based matrix splitting algorithms for a class of weakly nondifferentiable nonlinear complementarity problems, A variant of forward-backward splitting method for the sum of two monotone operators with a new search strategy, An algorithm for finding a common point of the solutions of fixed point and variational inequality problems in Banach spaces, A new iterative method for solving pseudomonotone variational inequalities with non-Lipschitz operators, The modulus-based matrix splitting algorithms for a class of weakly nonlinear complementarity problems, A New Extragradient Method for Strongly Pseudomonotone Variational Inequalities, Bregman subgradient extragradient method with monotone self-adjustment stepsize for solving pseudo-monotone variational inequalities and fixed point problems, A Strongly Convergent Method for Nonsmooth Convex Minimization in Hilbert Spaces, A projection-type method for variational inequalities on Hadamard manifolds and verification of solution existence
Cites Work
- Korpelevich's method for variational inequality problems in Banach spaces
- Convergence of direct methods for paramonotone variational inequalities
- Steepest descent methods with generalized distances for constrained optimization
- On some non-linear elliptic differential functional equations
- An extragradient-type algorithm for non-smooth variational inequalities
- An iterative method for generalized complementarity problems
- Finite-Dimensional Variational Inequalities and Complementarity Problems
