An inertial extragradient algorithm for a common solution of generalized mixed equilibrium problem and fixed point problem of nonexpansive mappings

DOI10.1007/S11565-024-00545-1MaRDI QIDQ6655200

Abdellah Bnouhachem

Publication date: 20 December 2024

Published in: Annali dell'Università di Ferrara. Sezione VII. Scienze Matematiche (Search for Journal in Brave)

zbMATH Keywords

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Mathematics Subject Classification ID

Variational and other types of inequalities involving nonlinear operators (general) (47J20) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Methods involving semicontinuity and convergence; relaxation (49J45) Existence of optimal solutions belonging to restricted classes (Lipschitz controls, bang-bang controls, etc.) (49J30)

Cites Work

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• An iterative algorithm for system of generalized equilibrium problems and fixed point problem
• An iterative algorithm for hierarchical fixed point problems for a finite family of nonexpansive mappings
• Convergence theorems for fixed points of multivalued strictly pseudocontractive mappings in Hilbert spaces
• Strong convergence of composite general iterative methods for one-parameter nonexpansive semigroup and equilibrium problems
• Hybrid iterative method for finding common solutions of generalized mixed equilibrium and fixed point problems
• Some iterative methods for finding fixed points and for solving constrained convex minimization problems
• Approximation of zeros of inverse strongly monotone operators in Banach spaces
• Convergence to common fixed point of nonexpansive semigroups
• Strong convergence theorem for a generalized equilibrium problem and a nonexpansive mapping in a Hilbert space
• Fixed-point solutions of variational inequalities for nonexpansive semigroups in Hilbert spaces
• On a two-step algorithm for hierarchical fixed point problems and variational inequalities
• Approximating fixed points of nonexpansive mappings by the Ishikawa iteration process
• Strong convergence to common fixed points of families of nonexpansive mappings
• Equilibrium programming using proximal-like algorithms
• Nash and Walras equilibrium via Brouwer
• Convergence of generalized proximal point algorithms
• A modified projection method for a common solution of a system of variational inequalities, a split equilibrium problem and a hierarchical fixed-point problem
• Weak convergence of iterative methods for solving quasimonotone variational inequalities
• Self-adaptive subgradient extragradient method with inertial modification for solving monotone variational inequality problems and quasi-nonexpansive fixed point problems
• Modified subgradient extragradient method for system of variational inclusion problem and finite family of variational inequalities problem in real Hilbert space
• Inertial extragradient algorithms with non-monotone stepsizes for pseudomonotone variational inequalities and applications
• Two algorithms for solving mixed equilibrium problems and fixed point problems in Hilbert spaces
• Approximation of common solutions for a fixed point problem of asymptotically nonexpansive mapping and a generalized equilibrium problem in Hilbert space
• An iterative method for finding common solutions of equilibrium and fixed point problems
• Convergence of Mann's type iteration method for generalized asymptotically nonexpansive mappings
• A hybrid iterative scheme for mixed equilibrium problems and fixed point problems
• The hybrid steepest descent method for the variational inequality problem over the intersection of fixed point sets of nonexpansive mappings
• Common solution to generalized mixed equilibrium problem and fixed point problem for a nonexpansive semigroup in Hilbert space
• Strong convergence algorithm for hierarchical fixed point problems of a finite family of nonexpansive mappings
• Split equality problem with equilibrium problem, variational inequality problem, and fixed point problem of nonexpansive semigroups
• Accelerated inertial subgradient extragradient algorithms with non-monotonic step sizes for equilibrium problems and fixed point problems
• Weak convergence of the sequence of successive approximations for nonexpansive mappings
• An inertial subgradient extragradient algorithm for modified variational inclusion problem and mixed equilibrium problem in real Hilbert space

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