A strong convergence algorithm for a fixed point constrained split null point problem

DOI10.1007/s12215-020-00505-6OpenAlexW3088168267MaRDI QIDQ2024425

Yanyan Li

Publication date: 4 May 2021

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/s12215-020-00505-6

zbMATH Keywords

algorithmstrong convergenceHilbert spacemonotone operatordemimetric mappingmonotone variational inclusion problem

Mathematics Subject Classification ID

Minimax problems in mathematical programming (90C47) Existence of solutions for minimax problems (49J35) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)

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Cites Work

• On multi-valued maps with images in the space of closed subsets of a metric space
• Split monotone variational inclusions
• Averaged mappings and the gradient-projection algorithm
• Algorithms for the split variational inequality problem
• Viscosity iterative techniques for approximating a common zero of monotone operators in an Hadamard space
• On convergence criteria of generalized proximal point algorithms
• Approximating curve and strong convergence of the \(CQ\) algorithm for the split feasibility problem
• Strong convergence of projected subgradient methods for nonsmooth and nonstrictly convex minimization
• Strong convergence of contraction semigroups and of iterative methods for accretive operators in Banach spaces
• On the Douglas-Rachford splitting method and the proximal point algorithm for maximal monotone operators
• A multiprojection algorithm using Bregman projections in a product space
• Weak convergence theorems for nonexpansive mappings and monotone mappings
• The viscosity approximation forward-backward splitting method for zeros of the sum of monotone operators
• A self adaptive inertial subgradient extragradient algorithm for variational inequality and common fixed point of multivalued mappings in Hilbert spaces
• Approximation of common solution of finite family of monotone inclusion and fixed point problems for demicontractive multivalued mappings in CAT(0) spaces
• General alternative regularization method for solving split equality common fixed point problem for quasi-pseudocontractive mappings in Hilbert spaces
• A viscosity iterative algorithm for a family of monotone inclusion problems in an Hadamard space
• Two modifications of the inertial Tseng extragradient method with self-adaptive step size for solving monotone variational inequality problems
• A unified algorithm for solving variational inequality and fixed point problems with application to the split equality problem
• Parallel hybrid algorithm for solving pseudomonotone equilibrium and split common fixed point problems
• A modified Halpern algorithm for approximating a common solution of split equality convex minimization problem and fixed point problem in uniformly convex Banach spaces
• Proximal-type algorithms for split minimization problem in P-uniformly convex metric spaces
• Iterative methods for generalized split feasibility problems in Hilbert spaces
• Construction of fixed points of nonlinear mappings in Hilbert space
• On the maximal monotonicity of subdifferential mappings
• A parallel combination extragradient method with Armijo line searching for finding common solutions of finite families of equilibrium and fixed point problems
• Iterative Algorithms for Nonlinear Operators
• Solving the split feasibility problem without prior knowledge of matrix norms
• Iterative oblique projection onto convex sets and the split feasibility problem
• The shrinking projection method for a finite family of demimetric mappings with variational inequality problems in a Hilbert space
• Iterative algorithm for a family of monotone inclusion problems in cat(0) spaces
• Inertial extragradient method via viscosity approximation approach for solving equilibrium problem in Hilbert space
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