Strong convergence of a hybrid projection iterative algorithm for common solutions of operator equations and of inclusion problems
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Publication:372076
DOI10.1186/1687-1812-2012-90zbMath1460.47036OpenAlexW2130556603WikidataQ59289975 ScholiaQ59289975MaRDI QIDQ372076
Publication date: 11 October 2013
Published in: Fixed Point Theory and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1186/1687-1812-2012-90
strong convergencefixed pointvariational inequalitymonotone operatorreal Hilbert spacesstrict pseudocontractionzero pointhybrid projection iterative algorithm
Monotone operators and generalizations (47H05) Iterative procedures involving nonlinear operators (47J25) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Variational and other types of inclusions (47J22)
Related Items
Convergence theorems for split feasibility problems on a finite sum of monotone operators and a family of nonexpansive mappings ⋮ Strong convergence of a regularization algorithm for common solutions with applications ⋮ On solutions of inclusion problems and fixed point problems ⋮ A strong convergence theorem of common elements in Hilbert spaces ⋮ On weak convergence of an iterative algorithm for common solutions of inclusion problems and fixed point problems in Hilbert spaces ⋮ Strong convergence theorems for solutions of fixed point and variational inequality problems ⋮ A regularization projection algorithm for various problems with nonlinear mappings in Hilbert spaces ⋮ Strong convergence of a Halpern-type algorithm for common solutions of fixed point and equilibrium problems ⋮ Convergence of a regularization algorithm for nonexpansive and monotone operators in Hilbert spaces ⋮ On generalized equilibrium problems and strictly pseudocontractive mappings in Hilbert spaces ⋮ An algorithm for treating asymptotically strict pseudocontractions and monotone operators
Cites Work
- Some results on generalized equilibrium problems involving strictly pseudocontractive mappings
- Strong convergence theorems for maximal monotone operators with nonlinear mappings in Hilbert spaces
- Iterative algorithms for variational inequality and equilibrium problems with applications
- Convergence of an iterative algorithm for systems of variational inequalities and nonexpansive mappings with applications
- Approximation of a zero point of accretive operator in Banach spaces
- Approximate proximal point algorithms for finding zeroes of maximal monotone operators in Hilbert spaces
- Convergence theorems of fixed points for \(\kappa \)-strict pseudo-contractions in Hilbert spaces
- Algorithms of common solutions to quasi variational inclusion and fixed point problems
- Convergence of iterative sequences for generalized equilibrium problems involving inverse-strongly monotone mappings
- Strong convergence of shrinking projection methods for quasi-nonexpansive mappings and equilibrium problems
- Iterative methods for generalized equilibrium problems and fixed point problems with applications
- A new hybrid method for solving a generalized equilibrium problem, solving a variational inequality problem and obtaining common fixed points in Banach spaces, with applications
- Convergence theorems of common elements for equilibrium problems and fixed point problems in Banach spaces
- A new method for solving equilibrium problem fixed point problem and variational inequality problem with application to optimization
- Perturbation techniques for nonexpansive mappings with applications
- Convergence theorems based on hybrid methods for generalized equilibrium problems and fixed point problems
- Viscosity approximation methods for generalized equilibrium problems and fixed point problems with applications
- Enlargement of monotone operators with applications to variational inequalities
- Weak convergence theorems for nonexpansive mappings and monotone mappings
- On the regularization of the sum of two maximal monotone operators
- Strong convergence theorems for nonexpansive mappings and inverse-strongly monotone mappings
- Convergence of a splitting inertial proximal method for monotone operators
- \(\varepsilon\)-enlargements of maximal monotone operators in Banach spaces
- A new iterative scheme for a countable family of relatively nonexpansive mappings and an equilibrium problem in Banach spaces
- Strong convergence theorems by hybrid projection methods for equilibrium problems and fixed point problems of the asymptotically quasi-\(\phi\)-nonexpansive mappings
- Modified hybrid block iterative algorithm for convex feasibility problems and generalized equilibrium problems for uniformly quasi-\(\varphi \)-asymptotically nonexpansive mappings
- Hybrid projection algorithms for generalized equilibrium problems and strictly pseudocontractive mappings
- Strong convergence of a general iterative algorithm for equilibrium problems and variational inequality problems
- Existence theorems for set-valued operators in Banach spaces
- Weak convergence theorem by an extragradient method for nonexpansive mappings and monotone mappings
- Characterization of the subdifferentials of convex functions
- Approximating zeros of monotone operators by proximal point algorithms
- The multiple-sets split feasibility problem and its applications for inverse problems
- Projected gradient methods for linearly constrained problems
- A unified treatment of some iterative algorithms in signal processing and image reconstruction
- Nonlinear Proximal Point Algorithms Using Bregman Functions, with Applications to Convex Programming
- NONEXPANSIVE NONLINEAR OPERATORS IN A BANACH SPACE
- Weak convergence of the sequence of successive approximations for nonexpansive mappings
- On the Maximality of Sums of Nonlinear Monotone Operators
- Enlargements and sums of monotone operators
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