An iterative method for split equality variational inequality problems for non-Lipschitz pseudomonotone mappings
DOI10.1007/s12215-021-00608-8OpenAlexW3157484273MaRDI QIDQ2120266
Karabo M. T. Kwelegano, Habtu Zegeye, Oganeditse Aaron Boikanyo
Publication date: 31 March 2022
Published in: Rendiconti del Circolo Matemàtico di Palermo. Serie II (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s12215-021-00608-8
strong convergencevariational inequalitymonotone mappingspseudomonotone mappingslit equality variational inequality problem
Convex programming (90C25) Variational and other types of inequalities involving nonlinear operators (general) (47J20) Equations involving nonlinear operators (general) (47J05) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Numerical methods for variational inequalities and related problems (65K15)
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Cites Work
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- Applications of fixed-point and optimization methods to the multiple-set split feasibility problem
- The subgradient extragradient method for solving variational inequalities in Hilbert space
- Alternating proximal algorithms for linearly constrained variational inequalities: application to domain decomposition for PDE's
- Algorithms for the split variational inequality problem
- Pseudo-monotone complementarity problems in Hilbert space
- An iterative algorithm for the variational inequality problem
- Weak and strong convergence theorems for fixed points of pseudocontractions and solutions of monotone type operator equations
- A relaxed alternating CQ-algorithm for convex feasibility problems
- An extragradient algorithm for monotone variational inequalities
- New self-adaptive step size algorithms for solving split variational inclusion problems and its applications
- Parallel hybrid algorithm for solving pseudomonotone equilibrium and split common fixed point problems
- A new iterative method for solving pseudomonotone variational inequalities with non-Lipschitz operators
- A modified Halpern algorithm for approximating a common solution of split equality convex minimization problem and fixed point problem in uniformly convex Banach spaces
- New subgradient extragradient methods for common solutions to equilibrium problems
- Convergence of an extragradient-type method for variational inequality with applications to optimal control problems
- Block-iterative algorithms for solving convex feasibility problems in Hilbert and in Banach spaces
- Convergence of Mann's type iteration method for generalized asymptotically nonexpansive mappings
- A new double projection algorithm for variational inequalities
- Iterative methods for the split feasibility problem in infinite-dimensional Hilbert spaces
- Strong convergence of subgradient extragradient methods for the variational inequality problem in Hilbert space
- Iterative Algorithms for Nonlinear Operators
- A variable Krasnosel'skii–Mann algorithm and the multiple-set split feasibility problem
- A Hybrid Extragradient-Viscosity Method for Monotone Operators and Fixed Point Problems
- A New Projection Method for Variational Inequality Problems
- A variant of korpelevich’s method for variational inequalities with a new search strategy
- An Introduction to Variational Inequalities and Their Applications
- Iterative oblique projection onto convex sets and the split feasibility problem
- On Projection Algorithms for Solving Convex Feasibility Problems
- Finite-Dimensional Variational Inequalities and Complementarity Problems
- The Split Equality Fixed Point Problem for Quasi-Pseudo-Contractive Mappings Without Prior Knowledge of Norms
- Several solution methods for the split feasibility problem
- Convex analysis and monotone operator theory in Hilbert spaces