A new double inertial subgradient extragradient algorithm for solving split pseudomonotone equilibrium problems and fixed point problems

Variational inequalities (49J40) Fixed-point theorems (47H10) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Existence theories for optimal control problems involving partial differential equations (49J20)

Cites Work

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The split equilibrium problem and its convergence algorithms
The subgradient extragradient method for solving variational inequalities in Hilbert space
Split monotone variational inclusions
Approximation of zeros of inverse strongly monotone operators in Banach spaces
Dual extragradient algorithms extended to equilibrium problems
An inertial-like proximal algorithm for equilibrium problems
The convergence of proximal methods to fixed points of extremal mappings and estimates of their rate of convergence
A strongly convergent modified Halpern subgradient extragradient method for solving the split variational inequality problem
Inertial methods for finding minimum-norm solutions of the split variational inequality problem beyond monotonicity
Two algorithms for solving mixed equilibrium problems and fixed point problems in Hilbert spaces
Inertial extragradient algorithms for solving equilibrium problems
Parallel extragradient algorithms for multiple set split equilibrium problems in Hilbert spaces
Strong convergence of subgradient extragradient methods for the variational inequality problem in Hilbert space
Convergence of an adaptive penalty scheme for finding constrained equilibria
Viscosity Approximation Methods for a Class of Generalized Split Feasibility Problems with Variational Inequalities in Hilbert Space
Weak Convergence of a Relaxed and Inertial Hybrid Projection-Proximal Point Algorithm for Maximal Monotone Operators in Hilbert Space
Extragradient algorithms extended to equilibrium problems¶
Hybrid proximal point algorithm for solving split equilibrium problems and its applications
An inertial proximal method for maximal monotone operators via discretization of a nonlinear oscillator with damping
A self adaptive method for solving a class of bilevel variational inequalities with split variational inequality and composed fixed point problem constraints in Hilbert spaces

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