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Inverse Problems, ISSN 0266-5611, 04/2017, Volume 33, Issue 5, p. 55017
In the present paper, we consider the varying stepsize CQ algorithm for solving the split feasibility problem in Hilbert spaces, investigate the linear... 
split feasibility problem | Hilbert spaces | CQ algorithm | application in systems biology | linear convergence | SPARSITY | MATHEMATICS, APPLIED | SPLIT FEASIBILITY PROBLEMS | INFINITE SYSTEM | CLOSED CONVEX-SETS | PHYSICS, MATHEMATICAL | CHIP-SEQ/CHIP | PROJECTION | SUBGRADIENT METHOD | OPTIMIZATION
Journal Article
SIAM JOURNAL ON OPTIMIZATION, ISSN 1052-6234, 2019, Volume 29, Issue 3, pp. 2291 - 2319
contrast to many existing results on calmness (metric subregularity) of multifunctions established by using dual notions like the normal cones and... 
Shapiro property | MATHEMATICS, APPLIED | Abadie CQ | CONSTRAINT QUALIFICATIONS | STRONG CHIP | GENERALIZED EQUATIONS | CONVEX | linear regularity | METRIC SUBREGULARITY | calmness | SYSTEMS | ERROR-BOUNDS | 1ST-ORDER
Journal Article
Journal of Nonlinear and Convex Analysis, ISSN 1345-4773, 2018, Volume 19, Issue 1, pp. 157 - 165
Fixed points of a nonexpansive mapping and solutions of a split split feasibility problem are investigated based on a CQ iterative algorithm. A weak... 
Weak convergence | Hilbert space | Split feasibility problem | Monotone mapping | Nonexpansive mapping | monotone mapping | split feasibility problem | MATHEMATICS | MATHEMATICS, APPLIED | WEAK-CONVERGENCE | nonexpansive mapping | weak convergence | OPERATORS
Journal Article
Fixed Point Theory, ISSN 1583-5022, 2008, Volume 9, Issue 2, pp. 515 - 531
In this paper, we introduce a modified CQ iterative scheme for finding a common element of the set of solutions of an equilibrium problem, the set of fixed... 
Strong convergence | Equilibrium problem | Variational inequality | CQ method | Nonexpansive mapping | Fixed point | MATHEMATICS | MATHEMATICS, APPLIED | fixed point | INFINITE NONEXPANSIVE-MAPPINGS | equilibrium problem | nonexpansive mapping | variational inequality | STRONG-CONVERGENCE THEOREMS | strong convergence
Journal Article
Abstract and Applied Analysis, ISSN 1085-3375, 2012, Volume 2012, pp. 1 - 13
Many applied problems such as image reconstructions and signal processing can be formulated as the split feasibility problem (SFP). Some algorithms have been... 
VARIATIONAL-INEQUALITIES | PROJECTION | MATHEMATICS, APPLIED | ITERATIVE ALGORITHMS | CQ ALGORITHM | SETS
Journal Article
Journal of Optimization Theory and Applications, ISSN 0022-3239, 8/2017, Volume 174, Issue 2, pp. 388 - 407
Journal Article
by Yao, YH and Liou, YC and Yao, JC
JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, ISSN 2008-1898, 2017, Volume 10, Issue 2, pp. 843 - 854
In the present paper, we consider the split variational inequality and fixed point problem that requires to find a solution of a generalized variational... 
MATHEMATICS | pseudocontractive mappings | fixed point | SPACES | FEASIBILITY PROBLEM | variational inequality | Split problem | CQ ALGORITHM | iterative algorithm | MINIMUM-NORM SOLUTIONS | STRONG-CONVERGENCE
Journal Article
Computers and Mathematics with Applications, ISSN 0898-1221, 08/2012, Volume 64, Issue 4, pp. 633 - 642
The purpose of this paper is to introduce and analyze an extragradient method with regularization for finding a common element of the solution set of the split... 
Fixed point problems | Extragradient method | Regularization | Maximal monotone mappings | Split feasibility problems | Averaged mappings | MATHEMATICS, APPLIED | NONEXPANSIVE-MAPPINGS | CQ ALGORITHM | VARIATIONAL-INEQUALITIES | PROJECTION | WEAK-CONVERGENCE | SETS | INVERSE PROBLEMS | OPERATORS | Analysis | Methods | Algorithms
Journal Article
Nonlinear Analysis, ISSN 0362-546X, 2012, Volume 75, Issue 4, pp. 2116 - 2125
Journal Article
Cell, ISSN 0092-8674, 06/1997, Volume 89, Issue 7, pp. 1165 - 1173
TGFβ signaling is initiated when the type I receptor phosphorylates the MAD-related protein, Smad2, on C-terminal serine residues. This leads to Smad2... 
K DR CELL BIOLOGY | COMPLEX | K CQ BIOCHEMISTRY & MOLECULAR BIOLOGY | BIOCHEMISTRY & MOLECULAR BIOLOGY | CELL BIOLOGY
Journal Article
Mathematical and Computer Modelling, ISSN 0895-7177, 02/2013, Volume 57, Issue 3-4, pp. 693 - 700
Journal Article
Optimization Letters, ISSN 1862-4472, 3/2014, Volume 8, Issue 3, pp. 1031 - 1046
In this paper, we introduce a modified relaxed projection algorithm and a modified variable-step relaxed projection algorithm for the split feasibility problem... 
Projection method | Computational Intelligence | Operations Research/Decision Theory | CQ method | Numerical and Computational Physics | Mathematics | Split feasibility problem | Optimization | Relaxed projection methods | Inverse strongly monotone | MATHEMATICS, APPLIED | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | CQ ALGORITHM | OPERATORS
Journal Article
Optimization, ISSN 0233-1934, 12/2018, Volume 67, Issue 12, pp. 2347 - 2358
In this paper, we consider the varying stepsize gradient projection algorithm (GPA) for solving the split equality problem (SEP) in Hilbert spaces, and study... 
Split equality problems | 40A05 | gradient projection algorithm | 47H10 | CQ algorithm | linear convergence | MATHEMATICS, APPLIED | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | CONVEX FEASIBILITY | Hilbert space | Algorithms | Nonlinear programming | Regularity | Convergence
Journal Article
by Fan, QW and Yao, ZS
JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, ISSN 2008-1898, 2017, Volume 10, Issue 4, pp. 1470 - 1477
The aim of this paper is to propose some novel algorithms and their strong convergence theorems for solving the split feasibility problem, and we obtain the... 
MATHEMATICS | PROJECTION | SETS | nonexpansive mapping | Hilbert space | Split feasibility problem | CQ-ALGORITHM | ITERATIVE ALGORITHMS | strong convergence
Journal Article
Numerical Algorithms, ISSN 1017-1398, 05/2018, Volume 78, Issue 1, pp. 263 - 275
The multiple-sets split equality problem, a generalization and extension of the split feasibility problem, has a variety of specific applications in real... 
Multiple-sets split equality problem | Hilbert space | Relaxed two points projection method | Convergence | CONVEX FEASIBILITY PROBLEMS | MATHEMATICS, APPLIED | CQ-ALGORITHM | Signal processing | Business schools | Algorithms | Equality | Analysis | Methods
Journal Article
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