On solving pseudomonotone equilibrium problems via two new extragradient-type methods under convex constraints
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Publication:2162667
DOI10.1515/dema-2022-0025OpenAlexW4289275038MaRDI QIDQ2162667
Nuttapol Pakkaranang, Chainarong Khunpanuk, Nattawut Pholasa
Publication date: 8 August 2022
Published in: Demonstratio Mathematica (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1515/dema-2022-0025
equilibrium problemproximal algorithmpseudomonotone bifunctionweak convergence theoremLipschitz-type continuous
Nonlinear accretive operators, dissipative operators, etc. (47H06) Iterative procedures involving nonlinear operators (47J25) Equations involving nonlinear operators (general) (47J05) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)
Cites Work
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- The subgradient extragradient method for solving variational inequalities in Hilbert space
- Dual extragradient algorithms extended to equilibrium problems
- Equilibrium models and variational inequalities.
- A modification of the Arrow-Hurwicz method for search of saddle points
- Approximating fixed points of nonexpansive mappings by the Ishikawa iteration process
- Equilibrium programming using proximal-like algorithms
- Nonlinear programming techniques for equilibria
- Two new extragradient methods for solving equilibrium problems
- Strongly convergent algorithms by using new adaptive regularization parameter for equilibrium problems
- Halpern projection methods for solving pseudomonotone multivalued variational inequalities in Hilbert spaces
- A subgradient proximal method for solving a class of monotone multivalued variational inequality problems
- Weak convergence of explicit extragradient algorithms for solving equilibrium problems
- Two strongly convergent methods governed by pseudo-monotone bi-function in a real Hilbert space with applications
- The extragradient algorithm with inertial effects extended to equilibrium problems
- An adaptive two-stage proximal algorithm for equilibrium problems in Hadamard spaces
- An extragradient algorithm for monotone variational inequalities
- Convergence of two-stage method with Bregman divergence for solving variational inequalities
- An Armijo-type method for pseudomonotone equilibrium problems and its applications
- Construction of fixed points of nonlinear mappings in Hilbert space
- Generalized monotone bifunctions and equilibrium problems
- Non-cooperative games
- A PROXIMAL POINT-TYPE ALGORITHM FOR PSEUDOMONOTONE EQUILIBRIUM PROBLEMS
- FIXED POINT SOLUTION METHODS FOR SOLVING EQUILIBRIUM PROBLEMS
- A New Two-Step Proximal Algorithm of Solving the Problem of Equilibrium Programming
- Convergence of an adaptive penalty scheme for finding constrained equilibria
- The subgradient extragradient method extended to equilibrium problems
- A new Popov's subgradient extragradient method for two classes of equilibrium programming in a real Hilbert space
- New extragradient methods with non-convex combination for pseudomonotone equilibrium problems with applications in Hilbert spaces
- Extragradient algorithms extended to equilibrium problems¶
- Weak convergence of the sequence of successive approximations for nonexpansive mappings
- Equilibrium points in n -person games
- Existence of an Equilibrium for a Competitive Economy
- Convex analysis and monotone operator theory in Hilbert spaces