Convergence of the operator extrapolation method for variational inequalities in Banach spaces
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Publication:2103828
DOI10.1007/s10559-022-00507-5OpenAlexW4310792109MaRDI QIDQ2103828
Publication date: 9 December 2022
Published in: Cybernetics and Systems Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10559-022-00507-5
weak convergencevariational inequalitymonotone operatoruniformly smooth Banach spacegap function2-uniformly convex Banach spaceAlber generalized projectionoperator extrapolation method
Mathematical programming (90Cxx) Equations and inequalities involving nonlinear operators (47Jxx) Nonlinear operators and their properties (47Hxx)
Cites Work
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- The subgradient extragradient method for solving variational inequalities in Hilbert space
- A modification of the Arrow-Hurwicz method for search of saddle points
- Homogenization of variational inequalities for problems with a regular obstacle
- An adaptive algorithm for the variational inequality over the set of solutions of the equilibrium problem
- Convergence of the method of extrapolation from the past for variational inequalities in uniformly convex Banach spaces
- Modified Tseng's splitting algorithms for the sum of two monotone operators in Banach spaces
- Single projection algorithm for variational inequalities in Banach spaces with application to contact problem
- An adaptive two-stage proximal algorithm for equilibrium problems in Hadamard spaces
- An extragradient algorithm for monotone variational inequalities
- Strongly relatively nonexpansive sequences generated by firmly nonexpansive-like mappings
- Inertial forward-backward splitting method in Banach spaces with application to compressed sensing.
- Convergence of two-stage method with Bregman divergence for solving variational inequalities
- Convergence results of forward-backward algorithms for sum of monotone operators in Banach spaces
- Weak convergence of a projection algorithm for variational inequalities in a Banach space
- Adaptive two-stage Bregman method for variational inequalities
- Adaptive extraproximal algorithm for the equilibrium problem in Hadamard spaces
- A New Two-Step Proximal Algorithm of Solving the Problem of Equilibrium Programming
- Nonlinear Ill-posed Problems of Monotone Type
- Inequalities in Banach spaces with applications
- An Introduction to Variational Inequalities and Their Applications
- Prox-Method with Rate of Convergence O(1/t) for Variational Inequalities with Lipschitz Continuous Monotone Operators and Smooth Convex-Concave Saddle Point Problems
- Finite-Dimensional Variational Inequalities and Complementarity Problems
- Metric and Generalized Projection Operators in Banach Spaces: Properties and Applications
- A Modified Forward-Backward Splitting Method for Maximal Monotone Mappings
- A Novel Algorithm with Self-adaptive Technique for Solving Variational Inequalities in Banach Spaces
- A Forward-Backward Splitting Method for Monotone Inclusions Without Cocoercivity
- Homogenization of variational inequalities for non-linear diffusion problems in perforated domains
- Network economics. A variational inequality approach.