A modified subgradient extragradient algorithm-type for solving quasimonotone variational inequality problems with applications

DOI10.1186/s13660-023-02981-7OpenAlexW4376955489MaRDI QIDQ6067253

Ojen K. Narain, Huseyin Isik, Akindele A. Mebawondu, Austine Efut Ofem, Godwin Chidi Ugwunnadi

Publication date: 14 December 2023

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13660-023-02981-7

zbMATH Keywords

strong convergencevariational inequality problemquasimonotone operatorrelaxed inertial extragradient subgradient method

Mathematics Subject Classification ID

Variational inequalities (49J40) Complementarity and equilibrium problems and variational inequalities (finite dimensions) (aspects of mathematical programming) (90C33) Methods of reduced gradient type (90C52)

Cites Work

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• 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
• Strong convergence result for solving monotone variational inequalities in Hilbert space
• Pseudo-monotone complementarity problems in Hilbert space
• Combined relaxation methods for variational inequalities
• Tseng type methods for solving inclusion problems and its applications
• A modified projected gradient method for monotone variational inequalities
• Modified subgradient extragradient method for variational inequality problems
• A self-adaptive projection method with an inertial technique for split feasibility problems in Banach spaces with applications to image restoration problems
• A novel inertial projection and contraction method for solving pseudomonotone variational inequality problems
• Weak convergence of iterative methods for solving quasimonotone variational inequalities
• A relaxed inertial factor of the modified subgradient extragradient method for solving pseudo monotone variational inequalities in Hilbert spaces
• Fast relaxed inertial Tseng's method-based algorithm for solving variational inequality and fixed point problems in Hilbert spaces
• Strong convergence of inertial projection and contraction methods for pseudomonotone variational inequalities with applications to optimal control problems
• Modified Tseng's splitting algorithms for the sum of two monotone operators in Banach spaces
• Strong convergence results for quasimonotone variational inequalities
• Revisiting subgradient extragradient methods for solving variational inequalities
• Iterative method with inertial terms for nonexpansive mappings: applications to compressed sensing
• New strong convergence theorem of the inertial projection and contraction method for variational inequality problems
• Weak and strong convergence theorems for solving pseudo-monotone variational inequalities with non-Lipschitz mappings
• Self adaptive inertial subgradient extragradient algorithms for solving pseudomonotone variational inequality problems
• Some extragradient-viscosity algorithms for solving variational inequality problems and fixed point problems
• A class of projection and contraction methods for monotone variational inequalities
• A double projection method for solving variational inequalities without monotonicity
• Projection and contraction methods for solving bilevel pseudomonotone variational inequalities
• Strong convergence of subgradient extragradient methods for the variational inequality problem in Hilbert space
• Application Of Khobotov’s Algorithm To Variational Inequalities And Network Equilibrium Problems
• Iterative Algorithms for Nonlinear Operators
• Extensions of Korpelevich's extragradient method for the variational inequality problem in Euclidean space
• A Hybrid Extragradient-Viscosity Method for Monotone Operators and Fixed Point Problems
• A New Projection Method for Variational Inequality Problems
• A Modified Forward-Backward Splitting Method for Maximal Monotone Mappings
• The extragradient method for quasi-monotone variational inequalities
• Accelerated inertial subgradient extragradient algorithms with non-monotonic step sizes for equilibrium problems and fixed point problems
• Projected Reflected Gradient Methods for Monotone Variational Inequalities
• Some methods of speeding up the convergence of iteration methods
• Improvements of some projection methods for monotone nonlinear variational inequalities
• Modified inertial extragradient methods for finding minimum-norm solution of the variational inequality problem with applications to optimal control problem
• A novel method for finding minimum-norm solutions to pseudomonotone variational inequalities

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