Modified inertial projection and contraction algorithms for solving variational inequality problems with non-Lipschitz continuous operators
DOI10.1007/s13324-021-00638-6zbMath1496.47104OpenAlexW4206758501MaRDI QIDQ2066347
Publication date: 14 January 2022
Published in: Analysis and Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s13324-021-00638-6
strong convergencevariational inequalityoptimal control problemLipschitz constantuniformly continuousreal Hilbert spacespseudomonotone mappingprojection and contraction methodsubgradient extragradient methodinertial method
Variational and other types of inequalities involving nonlinear operators (general) (47J20) Variational inequalities (49J40) Iterative procedures involving nonlinear operators (47J25) Numerical methods for variational inequalities and related problems (65K15)
Related Items
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On the \(O(1/t)\) convergence rate of the projection and contraction methods for variational inequalities with Lipschitz continuous monotone operators
- The subgradient extragradient method for solving variational inequalities in Hilbert space
- Approximation of zeros of inverse strongly monotone operators in Banach spaces
- Inertial projection and contraction algorithms for variational inequalities
- Two strong convergence subgradient extragradient methods for solving variational inequalities in Hilbert spaces
- On the convergence of the gradient projection method for convex optimal control problems with bang-bang solutions
- A modified subgradient extragradient method for solving the variational inequality problem
- Accelerating two projection methods via perturbations with application to intensity-modulated radiation therapy
- A novel inertial projection and contraction method for solving pseudomonotone variational inequality problems
- New algorithms and convergence theorems for solving variational inequalities with non-Lipschitz mappings
- Strong convergence theorems for solving variational inequality problems with pseudo-monotone and non-Lipschitz operators
- New inertial relaxed method for solving split feasibilities
- An alternated inertial method for pseudomonotone variational inequalities in Hilbert spaces
- Weak and strong convergence theorems for solving pseudo-monotone variational inequalities with non-Lipschitz mappings
- Projection methods with alternating inertial steps for variational inequalities: weak and linear convergence
- A new low-cost double projection method for solving variational inequalities
- Two simple projection-type methods for solving variational inequalities
- A new iterative method for solving pseudomonotone variational inequalities with non-Lipschitz operators
- A class of projection and contraction methods for monotone variational inequalities
- Modified hybrid projection methods for finding common solutions to variational inequality problems
- Convergence of an extragradient-type method for variational inequality with applications to optimal control problems
- Strong convergence of subgradient extragradient methods for the variational inequality problem in Hilbert space
- Extensions of Korpelevich's extragradient method for the variational inequality problem in Euclidean space
- SELF ADAPTIVE VISCOSITY-TYPE INERTIAL EXTRAGRADIENT ALGORITHMS FOR SOLVING VARIATIONAL INEQUALITIES WITH APPLICATIONS
- Single projection method for pseudo-monotone variational inequality in Hilbert spaces
- A Modified Forward-Backward Splitting Method for Maximal Monotone Mappings
- Convergence rate analysis of proximal gradient methods with applications to composite minimization problems
- Nonsmooth variational inequalities on Hadamard manifolds