Variational inequality over the set of common solutions of a system of bilevel variational inequality problem with applications

DOI10.1007/s13398-021-01193-2zbMath1483.65082OpenAlexW4200024129MaRDI QIDQ2057954

Mohammad Eslamian

Publication date: 7 December 2021

Published in: Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13398-021-01193-2

zbMATH Keywords

hierarchical variational inequalityinertial algorithmTseng's extragradient methodbilevel variational inequality problem

Mathematics Subject Classification ID

Variational and other types of inequalities involving nonlinear operators (general) (47J20) Monotone operators and generalizations (47H05) Iterative procedures involving nonlinear operators (47J25) Numerical solutions to equations with nonlinear operators (65J15)

Cites Work

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• Solving the variational inequality problem defined on intersection of finite level sets
• Strong convergence for an iterative method for the triple-hierarchical constrained optimization problem
• An extragradient algorithm for solving bilevel pseudomonotone variational inequalities
• Fixed point optimization algorithm and its application to power control in CDMA data networks
• A von Neumann alternating method for finding common solutions to variational inequalities
• Common solutions to variational inequalities
• Strong convergence of the Halpern subgradient extragradient method for solving variational inequalities in Hilbert spaces
• Algorithms for the split variational inequality problem
• Strong convergence result for solving monotone variational inequalities in Hilbert space
• A theorem for solving Banach generalized system of variational inequality problems and fixed point problem in uniformly convex and 2-uniformly smooth Banach space
• An inertial forward-backward algorithm for monotone inclusions
• A modification of the Arrow-Hurwicz method for search of saddle points
• Nonsmooth approach to optimization problems with equilibrium constraints. Theory, applications and numerical results
• Weak convergence theorems for nonexpansive mappings and monotone mappings
• Combined relaxation methods for variational inequalities
• Inertial projection and contraction algorithms for variational inequalities
• Shrinking projection algorithm for solving a finite family of quasi-variational inclusion problems in Hadamard manifold
• Isotonicity of the proximity operator and mixed variational inequalities in Hilbert spaces
• Convergence theorem for solving a new concept of the split variational inequality problems and application
• A new shrinking projection algorithm for a generalized mixed variational-like inequality problem and asymptotically quasi-\(\phi\)-nonexpansive mapping in a Banach space
• Error bounds and gap functions for various variational type problems
• Strong convergence analysis of common variational inclusion problems involving an inertial parallel monotone hybrid method for a novel application to image restoration
• An accelerated extragradient algorithm for bilevel pseudomonotone variational inequality problems with application to optimal control problems
• An extragradient algorithm for monotone variational inequalities
• Self adaptive inertial subgradient extragradient algorithms for solving pseudomonotone variational inequality problems
• Iterative methods for generalized split feasibility problems in Hilbert spaces
• Strong convergence of subgradient extragradient methods for the variational inequality problem in Hilbert space
• A Use of Conjugate Gradient Direction for the Convex Optimization Problem over the Fixed Point Set of a Nonexpansive Mapping
• A unified treatment of some iterative algorithms in signal processing and image reconstruction
• Robust Wideband Beamforming by the Hybrid Steepest Descent Method
• Modified subgradient extragradient algorithms for variational inequality problems and fixed point problems
• Finite-Dimensional Variational Inequalities and Complementarity Problems
• Iterative Algorithm for Triple-Hierarchical Constrained Nonconvex Optimization Problem and Its Application to Network Bandwidth Allocation
• A Modified Forward-Backward Splitting Method for Maximal Monotone Mappings
• A hybrid descent method for solving a convex constrained optimization problem with applications
• Some methods of speeding up the convergence of iteration methods
• Mathematical Programs with Equilibrium Constraints

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