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Fixed Point Theory and Applications, ISSN 1687-1820, 12/2009, Volume 2008, Issue 1, pp. 1 - 19
... Iterative Methods for Convex Feasibility Problems and Fixed Point Problems of Relatively Nonexpansive Mappings in Banach Spaces Somyot Plubtieng and Kasamsuk... 
Mathematical and Computational Biology | Analysis | Mathematics, general | Mathematics | Applications of Mathematics | Topology | Differential Geometry | HILBERT | MATHEMATICS | STRONG-CONVERGENCE THEOREMS | ALGORITHMS | PARALLEL-PROJECTION METHODS | OPERATORS | Studies | Problems | Tomography | Banach spaces | Iterative methods | Methods | Mathematical programming
Journal Article
Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 2007, Volume 336, Issue 1, pp. 455 - 469
In this paper, we introduce two iterative schemes by the general iterative method for finding a common element of the set of an equilibrium problem and the set... 
Equilibrium problem | Viscosity approximation method | Nonexpansive mapping | Minimization problem | Fixed point | MATHEMATICS | MATHEMATICS, APPLIED | NONEXPANSIVE-MAPPINGS | fixed point | equilibrium problem | viscosity approximation method | minimization problem | nonexpansive mapping | VISCOSITY APPROXIMATION METHODS
Journal Article
Applied Mathematics and Computation, ISSN 0096-3003, 2008, Volume 197, Issue 2, pp. 548 - 558
Journal Article
Journal of Inequalities and Applications, ISSN 1025-5834, 12/2017, Volume 2017, Issue 1, pp. 1 - 12
... projection methods for sums of two monotone operators http://crossmark.crossref.org/dialog/?doi=10.1186/s13660-017-1338-7&domain=pdf Web End = Tadchai Yuying1 and Somyot... 
hybrid projection methods | shrinking projection methods | monotone operators and resolvent | MATHEMATICS | ZERO | MATHEMATICS, APPLIED | NONEXPANSIVE-MAPPINGS | Operators | Theorems | Algorithms | Inequalities | Projection | Mathematical models | Convergence | Sums | Research
Journal Article
Fixed Point Theory and Applications, ISSN 1687-1820, 12/2009, Volume 2009, Issue 1, pp. 1 - 20
... A Viscosity Approximation Method for Finding Common Solutions of V ariational Inclusions, Equilibrium Problems, and Fixed Point Problems in Hilbert Spaces Somyot... 
Mathematical and Computational Biology | Analysis | Mathematics, general | Mathematics | Applications of Mathematics | Topology | Differential Geometry | MATHEMATICS | MATHEMATICS, APPLIED | NONEXPANSIVE-MAPPINGS | GENERAL ITERATIVE METHOD | ALGORITHMS | OPERATORS | Fuzzy sets | Set theory | Fixed point theory | Approximation theory | Hilbert space | Research | Studies | Problems | Optimization | Mathematical programming
Journal Article
Journal of Inequalities and Applications, ISSN 1025-5834, 2018, Volume 2018, Issue 1, pp. 1 - 21
... subgradient methods for solving bilevel equilibrium problems Tadchai Yuying1, Bui Van Dinh2, Do Sang Kim3 and Somyot Plubtieng1,4* *Correspondence: somyotp@nu.ac.th... 
Armijo line search | Extragradient Subgradient-Halpern methods | Strong convergence | Bilevel equilibrium problems | GENERALIZED MONOTONE BIFUNCTIONS | WEAK | MATHEMATICS | MATHEMATICS, APPLIED | KY FAN INEQUALITIES | OPTIMIZATION | ALGORITHMS | STRONG-CONVERGENCE | Equilibrium methods | Hilbert space | Algorithms | Convergence | 65K15 | 90C25 | 65K10 | Review | 47J25
Journal Article
Fixed Point Theory and Applications, ISSN 1687-1820, 12/2009, Volume 2009, Issue 1, pp. 1 - 16
... An Extragradient Method and Proximal Point Algorithm for Inverse Strongly Monotone Operators and Maximal Monotone Operators in Banach Spaces Somyot Plubtieng and W anna... 
Mathematical and Computational Biology | Analysis | Mathematics, general | Mathematics | Applications of Mathematics | Topology | Differential Geometry | MATHEMATICS | INEQUALITIES | STRONG-CONVERGENCE THEOREMS | WEAK-CONVERGENCE | Fuzzy sets | Inequalities (Mathematics) | Set theory | Research | Banach spaces | Iterative methods (Mathematics) | Operator theory | Studies | Operations research | Hilbert space | Algorithms
Journal Article
Bulletin of the Iranian Mathematical Society, ISSN 1018-6301, 12/2016, Volume 42, Issue 6, pp. 1583 - 1595
Journal Article
Abstract and applied analysis, ISSN 1085-3375, 5/2014, Volume 2014, pp. 1 - 8
We modify the three-step iterative schemes to prove the strong convergence theorems by using the hybrid projection methods for finding a common element of the... 
AMENABLE SEMIGROUPS | MATHEMATICS, APPLIED | APPROXIMATION | ITERATIONS | FINITE FAMILY | STRONG-CONVERGENCE THEOREMS | FIXED-POINTS | Mathematical research | Group theory | Fixed point theory | Convergence (Mathematics) | Research | Iterative methods (Mathematics) | Mappings (Mathematics) | Calculus | Hilbert space | Quantum theory | Optimization | Methods | Colleges & universities
Journal Article
Journal of Approximation Theory, ISSN 0021-9045, 2007, Volume 149, Issue 2, pp. 103 - 115
In this paper, we establish strong convergence theorems for a common fixed point of two relatively nonexpansive mappings in a Banach space by using the hybrid... 
Asymptotic fixed point | Common fixed point | Relatively nonexpansive mapping | Generalized projection | Nonexpansive mapping | MATHEMATICS | asymptotic fixed point | APPROXIMATION | WEAK-CONVERGENCE | common fixed point | nonexpansive mapping | EXAMPLE | relatively nonexpansive mapping | OPERATORS | generalized projection
Journal Article
Journal of Inequalities and Applications, ISSN 1025-5834, 12/2010, Volume 2010, Issue 1, pp. 1 - 12
... Convergence Theorems for a System of Mixed Equilibrium Problems and Nonspreading Mappings in a Hilbert Space Somyot Plubtieng and Kamonrat Sombut Department... 
Mathematics, general | Mathematics | Applications of Mathematics | Analysis | MATHEMATICS | MATHEMATICS, APPLIED | Studies | Problems | Hilbert space | Mathematical functions | Banach spaces | Mathematical analysis | Theorems | Mapping | Inequalities | Convergence
Journal Article
Journal of Global Optimization, ISSN 0925-5001, 6/2011, Volume 50, Issue 2, pp. 313 - 327
Journal Article
Fixed Point Theory and Applications, ISSN 1687-1812, 9/2012, Volume 2010, Issue 1, pp. 1 - 17
... Methods for Equilibrium Problems and Fixed Points Problems of a Countable Family of Relatively Nonexpansive Mappings in Banach Spaces Somyot Plubtieng and W anna... 
Mathematical and Computational Biology | Analysis | Mathematics, general | Mathematics | Applications of Mathematics | Topology | Differential Geometry | MATHEMATICS | ITERATIVE METHOD | SCHEME | STRONG-CONVERGENCE THEOREMS | CQ METHOD | APPROXIMATION | Fixed point theory | Research | Banach spaces | Mappings (Mathematics) | Studies | Problems
Journal Article
Journal of Computational and Applied Mathematics, ISSN 0377-0427, 2009, Volume 224, Issue 2, pp. 614 - 621
In this paper, we introduce an iterative process for finding the common element of the set of common fixed points of a countable family of nonexpansive... 
Fixed point problem | Monotone mapping | Equilibrium problem | Variational inequality | Accretive operator | Nonexpansive mapping | MATHEMATICS, APPLIED | APPROXIMATION
Journal Article
Journal of Inequalities and Applications, ISSN 1025-5834, 12/2013, Volume 2013, Issue 1, pp. 1 - 9
... S E A R C H Open Access Generalizations of the strong Ekeland variational principle with a generalized distance in complete metric spaces Somyot Plubtieng... 
complete metric space | Analysis | Mathematics, general | Mathematics | Applications of Mathematics | u -distance | Ekeland’s variational principle | Complete metric space | Ekeland's variational principle | U-distance | MATHEMATICS | MATHEMATICS, APPLIED | u-distance | Metric space | Variational principles | Mathematical analysis | Inequalities
Journal Article
Abstract and applied analysis, ISSN 1085-3375, 2/2012, Volume 2013, pp. 1 - 8
The purpose of this paper is to introduce an iterative algorithm for finding a common element of the set of fixed points of quasi-nonexpansive mappings and the... 
PROJECTION | MATHEMATICS, APPLIED | ERRORS | SETS | EXTRAGRADIENT METHOD | NOOR ITERATIONS | CQ ALGORITHM | Fuzzy sets | Fixed point theory | Set theory | Convergence (Mathematics) | Research | Mathematical research | Studies | Problems | Algorithms | Optimization | Sequences | Theorems | Fixed points (mathematics) | Feasibility | Hilbert space | Iterative algorithms | Mapping | Convergence
Journal Article
Abstract and applied analysis, ISSN 1085-3375, 7/2014, Volume 2014, pp. 1 - 10
We introduce a new generalized system of nonlinear variational inequality problems (GSNVIP) by using the generalized projection method. Moreover, we introduce... 
MATHEMATICS | CONVERGENCE | Inequalities (Mathematics) | Research | Banach spaces | Variational principles | Mathematical research | Iterative methods (Mathematics) | Problems | Stochastic models | Inequality
Journal Article
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