An improved algorithm with Armijo line-search rule for solving pseudomonotone variational inequality problems in Banach spaces
From MaRDI portal
Publication:2674702
DOI10.1007/s13324-022-00726-1zbMath1502.47095OpenAlexW4294311160WikidataQ113899294 ScholiaQ113899294MaRDI QIDQ2674702
Qiao-Li Dong, Zhongbing Xie, Gang Cai, Xiao-Xiao Li
Publication date: 14 September 2022
Published in: Analysis and Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s13324-022-00726-1
strong convergencevariational inequalitypseudomonotone operatorBanach spacesubgradient extragradient method
Variational inequalities (49J40) Monotone operators and generalizations (47H05) Iterative procedures involving nonlinear operators (47J25) Numerical methods for variational inequalities and related problems (65K15)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Viscosity iterative algorithm for variational inequality problems and fixed point problems in a real \(q\)-uniformly smooth Banach space
- Viscosity methods for common solutions of equilibrium and variational inequality problems via multi-step iterative algorithms and common fixed points
- Strong convergence of the Halpern subgradient extragradient method for solving variational inequalities in Hilbert spaces
- The subgradient extragradient method for solving variational inequalities in Hilbert space
- Korpelevich's method for variational inequality problems in Banach spaces
- Iterative method for fixed point problem, variational inequality and generalized mixed equilibrium problems with applications
- Versions of the subgradient extragradient method for pseudomonotone variational inequalities
- A modified extragradient method for inverse-monotone operators in Banach spaces
- Modified extragradient methods for a system of variational inequalities in Banach spaces
- Strong convergence of projected subgradient methods for nonsmooth and nonstrictly convex minimization
- Solution existence of variational inequalities with pseudomonotone operators in the sense of Brézis
- Sharp uniform convexity and smoothness inequalities for trace norms
- New approximation schemes for general variational inequalities
- Weak and strong convergence theorems for variational inequality problems
- A new double-projection method for solving variational inequalities in Banach spaces
- Extragradient methods for solving non-Lipschitzian pseudo-monotone variational inequalities
- Strong convergence of a double projection-type method for monotone variational inequalities in Hilbert spaces
- Modified subgradient extragradient method for variational inequality problems
- Some developments in general variational inequalities
- Modified extragradient methods for variational inequality problems and fixed point problems for an infinite family of nonexpansive mappings in Banach spaces
- Algorithm of solutions for mixed implicit quasi-variational inequalities with fuzzy mappings
- A modified subgradient extragradient method for solving the variational inequality problem
- Single projection algorithm for variational inequalities in Banach spaces with application to contact problem
- An efficient projection-type method for monotone variational inequalities in Hilbert spaces
- Weak and strong convergence theorems for solving pseudo-monotone variational inequalities with non-Lipschitz mappings
- Strongly relatively nonexpansive sequences generated by firmly nonexpansive-like mappings
- Two simple projection-type methods for solving variational inequalities
- Accelerated subgradient extragradient methods for variational inequality problems
- Modified hybrid projection methods for finding common solutions to variational inequality problems
- Weak convergence of a projection algorithm for variational inequalities in a Banach space
- The connection between the metric and generalized projection operators in Banach spaces
- New relaxed hybrid-extragradient method for fixed point problems, a general system of variational inequality problems and generalized mixed equilibrium problems
- Strong convergence of subgradient extragradient methods for the variational inequality problem in Hilbert space
- Iterative Algorithms for Nonlinear Operators
- A hybrid steepest-descent method for variational inequalities in Hilbert spaces
- Metric and Generalized Projection Operators in Banach Spaces: Properties and Applications
- A subgradient extragradient algorithm with inertial effects for solving strongly pseudomonotone variational inequalities
- Relaxed extragradient algorithm for solving pseudomonotone variational inequalities in Hilbert spaces
