A new modified hybrid steepest-descent by using a viscosity approximation method with a weakly contractive mapping for a system of equilibrium problems and fixed point problems with minimization problems
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Publication:696010
DOI10.1155/2012/206345zbMath1386.47011OpenAlexW2019598691WikidataQ58695960 ScholiaQ58695960MaRDI QIDQ696010
Poom Kumam, Uamporn Witthayarat, Thanyarat Jitpeera
Publication date: 18 December 2012
Published in: Abstract and Applied Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1155/2012/206345
Iterative procedures involving nonlinear operators (47J25) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)
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Cites Work
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- On the effectiveness of projection methods for convex feasibility problems with linear inequality constraints
- Common solutions to variational inequalities
- An explicit method for systems of equilibrium problems and fixed points of infinite family of nonexpansive mappings
- Viscosity approximation with weak contractions for fixed point problem, equilibrium problem, and variational inequality problem
- Modified hybrid steepest-descent methods for variational inequalities and fixed points
- Fixed point solutions of variational inequality and generalized equilibrium problems with applications
- Regularized equilibrium problems with application to noncoercive hemivariational inequalities.
- Iterative algorithm for completely generalized set-valued strongly nonlinear mixed variational-like inequalities
- Combined relaxation method for mixed equilibrium problems
- Moudafi's viscosity approximations with Meir--Keeler contractions
- A general iterative method for a finite family of nonexpansive mappings
- General iteration algorithm and convergence rate optimal model for common fixed points of nonexpansive mappings
- An implicit method for finding common solutions of variational inequalities and systems of equilibrium problems and fixed points of infinite family of nonexpansive mappings
- Strong convergence of a general iterative method for variational inequality problems and fixed point problems in Hilbert spaces
- A new hybrid iterative algorithm for fixed-point problems, variational inequality problems, and mixed equilibrium problems
- Strong convergence for generalized equilibrium problems, fixed point problems and relaxed cocoercive variational inequalities
- A hybrid projection algorithm for finding solutions of mixed equilibrium problem and variational inequality problem
- A general iterative algorithm for nonexpansive mappings in Hilbert spaces
- Equivalent theorems of the convergence between proximal type algorithms
- A new hybrid algorithm for variational inclusions, generalized equilibrium problems, and a finite family of quasi-nonexpansive mappings
- An extragradient method for mixed equilibrium problems and fixed point problems
- A new hybrid iterative method for mixed equilibrium problems and variational inequality problem for relaxed cocoercive mappings with application to optimization problems
- A convergence theorem based on a hybrid relaxed extragradient method for generalized equilibrium problems and fixed point problems of a finite family of nonexpansive mappings
- Parallel application of block-iterative methods in medical imaging and radiation therapy
- An iterative approach to quadratic optimization
- Equilibrium problems with applications to eigenvalue problems
- Strong convergence of modified Mann iterations
- Viscosity approximation methods for nonexpansive mappings
- The approximation of fixed points of compositions of nonexpansive mappings in Hilbert space
- Viscosity approximation methods for fixed-points problems
- A general iterative method for nonexpansive mappings in Hilbert spaces
- Generalized KKM theorem with applications to generalized minimax inequalities and generalized equilibrium problems
- Iterative methods for strict pseudo-contractions in Hilbert spaces
- An iterative method for finding common solutions of equilibrium and fixed point problems
- Strong convergence theorems for a finite family of nonexpansive mappings
- Convergence theorem for equilibrium problems and fixed point problems of infinite family of nonexpansive mappings
- Hybrid viscosity approximation schemes for equilibrium problems and fixed point problems of infinitely many nonexpansive mappings
- Strong convergence of an implicit iteration process for a finite family of nonexpansive mappings
- Hard-constrained inconsistent signal feasibility problems
- AN IMPLICIT ITERATION PROCESS FOR NONEXPANSIVE MAPPINGS
- Iterations of paracontractions and firmaly nonexpansive operators with applications to feasibility and optimization
- Minimizing certain convex functions over the intersection of the fixed point sets of nonexpansive mappings
- On the structure of the set of subsequential limit points of successive approximations
- Weak convergence of the sequence of successive approximations for nonexpansive mappings
- Pseudomonotone Complementarity Problems and Variational Inequalities
- Strong convergence to common fixed points of infinite nonexpansive mappings and applications
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