[PDF] Top 20 Iterative methods for constrained convex minimization problem in Hilbert spaces
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Iterative methods for constrained convex minimization problem in Hilbert spaces
... feasibility problem (say SFP, for short), which was introduced by Censor and Elfving ...feasibility problem (SFP) has received much attention (see [, , ]) due to its applications in signal processing ... See full document
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Iterative methods for the split common fixed point problem in Hilbert spaces
... where H and K are two Hilbert spaces, C and Q are nonempty closed convex subsets of H and K, respectively, and A : H → K is a bounded linear operator. In particular, if C and Q are composed of the ... See full document
8
Iterative methods of strong convergence theorems for the split feasibility problem in Hilbert spaces
... feasibility problem has been received much attention in recent ...new iterative algorithms to solve the split feasibility problem in an infinite- dimensional Hilbert ...the iterative ... See full document
14
Iterative methods for split variational inclusion and fixed point problem of nonexpansive semigroup in Hilbert spaces
... general iterative method for a split variational inclusion and nonexpansive semigroups in Hilbert ...our methods and results, which may be viewed as a refinement and improvement of the previously ... See full document
14
Algorithms with strong convergence for the split common solution of the feasibility problem and fixed point problem
... Cui, H, Wang, F: Iterative methods for the split common fixed point problem in Hilbert spaces. Fixed Point Theory Appl[r] ... See full document
14
The generalized viscosity implicit rules of nonexpansive mappings in Hilbert spaces
... The organization of this paper is as follows. In Section , we recall the notion of the metric projection, the demiclosedness principle of nonexpansive mappings and a conver- gence lemma. In Section , the strong ... See full document
21
Regularized gradient-projection methods for the constrained convex minimization problem and the zero points of maximal monotone operator
... a constrained convex minimization problem and the set of zero points of the maximal monotone operator ...operator problem can be transformed into the equilibrium ...feasibility ... See full document
23
Methods for solving constrained convex minimization problems and finding zeros of the sum of two operators in Hilbert spaces
... α -inverse-strongly monotone mapping, B : H → H is a maximal monotone operator, the domain of B is included in C. Let U denote the solution set of the constrained convex minimization problem. ... See full document
27
An Iterative Algorithm of Solution for Quadratic Minimization Problem in Hilbert Spaces
... Iterative methods for nonexpansive mappings have recently been applied to solve convex minimization problems; see, for example, 1, 2 and the references ...typical problem is to minimize ... See full document
6
Convergence analysis of a variable metric forward–backward splitting algorithm with applications
... proposed iterative algorithm to solve three typical optimization problems including the variational inequal- ities problem, constrained convex minimization problem, and split ... See full document
27
Projection methods of iterative solutions in Hilbert spaces
... on iterative methods; see, for example, [–] and the references ...hybrid iterative algorithm is considered for analyzing the convergence of iterative ...real Hilbert spaces ... See full document
15
An iterative algorithm for fixed point problem and convex minimization problem with applications
... an iterative algorithm for find- ing a fixed point of a strictly pseudocontractive mapping which is also a solution to a con- strained convex minimization problem for a convex and ... See full document
17
Regularized gradient projection methods for finding the minimum norm solution of the constrained convex minimization problem
... real Hilbert space and C be a nonempty closed convex subset of ...real-valued convex function and the gradient ∇g is L -ism with L > ...the minimization problem ... See full document
12
General iterative scheme based on the regularization for solving a constrained convex minimization problem
... Consider the problem of minimizing f over the constraint set C (assuming that C is a nonempty closed and convex subset of a real Hilbert space H). If f : H → R is a con- vex and continuously Fréchet ... See full document
15
Iterative algorithm of common solutions for a constrained convex minimization problem, a quasi-variational inclusion problem and the fixed point problem of a strictly pseudo-contractive mapping
... Theorem . Let C be a nonempty closed convex subset of a real Hilbert space H . For the minimization problem (.), assume that f is (Frechet) differentiable and the gradient ∇ f is a ... See full document
15
Iterative algorithms based on the viscosity approximation method for equilibrium and constrained convex minimization problem
... We denoted the set of solutions of EP by EP(φ). Given a mapping F : C → H , let φ(x, y) = Fx, y – x for all x, y ∈ C, then z ∈ EP(φ) if and only if Fz, y – z ≥ for all y ∈ C, that is, z is a solution of the variational ... See full document
17
Dykstra’s Algorithm for the Optimal Approximate Symmetric Positive Semidefinite Solution of a Class of Matrix Equations
... closed convex set, then the solution ˆ X of Problem I is ...of Problem I is just the least Frobenius norm symmetric positive semidefinite solution of the matrix equations ... See full document
10
Extragradient method for convex minimization problem
... We denote by I(B, R) the solution set of the variational inclusion (.). In particular, if B = R = , then I(B, R) = C. If B = , then problem (.) becomes the inclusion prob- lem introduced by Rockafellar ... See full document
40
Regularization and iterative method for general variational inequality problem in hilbert spaces
... an iterative algorithm for finding such a solution is constructed, and convergent theorem of the such algorithm is ...inequality problem, our results improve and extend some well-known results in the ... See full document
11
Weak convergence theorem for a class of split variational inequality problems and applications in a Hilbert space
... inequality problem, and Korpelevich’s extragradient method, which solves variational inequality ...an iterative method for finding an element to solve a class of split variational inequality problems under ... See full document
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