Convergence analysis of a general inertial projection-type method for solving pseudomonotone equilibrium problems with applications
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Publication:2072824
DOI10.1186/s13660-021-02591-1zbMath1504.49024OpenAlexW3164129982MaRDI QIDQ2072824
Wiyada Kumam, Habib ur Rehman, Aviv Gibali, Poom Kumam
Publication date: 26 January 2022
Published in: Journal of Inequalities and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1186/s13660-021-02591-1
weak convergencevariational inequality problemequilibrium problempseudomonotone bifunctionLipschitz-type conditions
Convex programming (90C25) Variational inequalities (49J40) Iterative procedures involving nonlinear operators (47J25) Complementarity and equilibrium problems and variational inequalities (finite dimensions) (aspects of mathematical programming) (90C33) Numerical solutions to equations with nonlinear operators (65J15)
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Cites Work
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- The subgradient extragradient method for solving variational inequalities in Hilbert space
- Application of the proximal point method to nonmonotone equilibrium problems
- The Tikhonov regularization extended to equilibrium problems involving pseudomonotone bifunctions
- Equilibrium programming: Proximal methods
- Inertial projection and contraction algorithms for variational inequalities
- A Tikhonov-type regularization for equilibrium problems in Hilbert spaces
- Weak convergence of explicit extragradient algorithms for solving equilibrium problems
- Strong convergence of an inertial iterative algorithm for variational inequality problem, generalized equilibrium problem, and fixed point problem in a Banach space
- The extragradient algorithm with inertial effects extended to equilibrium problems
- A strong convergence theorem for solving pseudo-monotone variational inequalities using projection methods
- Inertial-type algorithm for solving split common fixed point problems in Banach spaces
- Hybrid iterative scheme for solving split equilibrium and hierarchical fixed point problems
- Existence and solution methods for equilibria
- Inertial Krasnosel'skiǐ-Mann type hybrid algorithms for solving hierarchical fixed point problems
- Inertial extragradient algorithms for solving equilibrium problems
- Modified hybrid projection methods for finding common solutions to variational inequality problems
- MiKM: multi-step inertial Krasnosel'skiǐ-Mann algorithm and its applications
- Construction of fixed points of nonlinear mappings in Hilbert space
- Generalized monotone bifunctions and equilibrium problems
- A new method for solving split variational inequality problems without co-coerciveness
- Halpern-type iterative process for solving split common fixed point and monotone variational inclusion problem between Banach spaces
- Convergence of an adaptive penalty scheme for finding constrained equilibria
- Modified extragradient algorithms for solving equilibrium problems
- The subgradient extragradient method extended to equilibrium problems
- Modified inertial subgradient extragradient method with self adaptive stepsize for solving monotone variational inequality and fixed point problems
- An inertial method for solving generalized split feasibility problems over the solution set of monotone variational inclusions
- New extragradient methods with non-convex combination for pseudomonotone equilibrium problems with applications in Hilbert spaces
- A subgradient extragradient algorithm with inertial effects for solving strongly pseudomonotone variational inequalities
- Inertial extragradient method via viscosity approximation approach for solving equilibrium problem in Hilbert space
- Extragradient algorithms extended to equilibrium problems¶
- Some methods of speeding up the convergence of iteration methods
- Weak convergence of the sequence of successive approximations for nonexpansive mappings
- Modified Popov's explicit iterative algorithms for solving pseudomonotone equilibrium problems
- Convex analysis and monotone operator theory in Hilbert spaces
- An inertial proximal method for maximal monotone operators via discretization of a nonlinear oscillator with damping
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