[PDF] Top 20 Strong convergence of a modified proximal algorithm for solving the lasso

... iterative algorithm (.), we propose a modified formulation of the proximal algorithm ...the algorithm we propose can obtain strong ...this algorithm to solve the lasso ... See full document

... inexact proximal point method 1.3 in order to strong convergence to be ...to modified approximate proximal point algorithms in Hilbert spaces; that is, they established strong ... See full document

... a strong convergence theorem for finding a common element of the set of solutions of mixed equilibrium problems, the set of solution of the varia- tional inequality problem, the fixed point set of ... See full document

... two strong convergence theorems as regards this ...give strong convergence theorems as regards the split feasibility problem with modified CQ method, strong convergence theorem as ... See full document

... the proximal split feasibility problems. For solving the problems, we present new self-adaptive algorithms with the regularization ...some strong convergence theorems for the proximal ... See full document

... for solving zero points of accretive operators is the proximal point algorithms, which have been studied by many authors; see [–] and the references ... See full document

... of solving  ∈ Tx is the proximal point ...Rockafellar’s proximal point algorithm generates, for any starting point x  = x ∈ H, a sequence {x n } in H by the ... See full document

... the proximal point algorithm, and have also found applications of this method to specific variational ...the algorithm for solving inclusions involving monotone mappings, and specifically, on ... See full document

... many convergence results by PPA for solving optimization problems have been extended from the classical linear spaces such as Euclidean spaces,Hilbert spaces and Ba- nach spaces to the setting of manifolds ... See full document

... prove strong and weak convergence theorems of modified hybrid proximal-point algorithms for finding a common element of the zero point of a maximal monotone operator, the set of solutions of ... See full document

... Rochafellar’s proximal point algorithm ...a modified proximal point algorithm by an additional projection at each step of ...the convergence of the sequence {x k } generated by ... See full document

... The proximal gradient algorithm is an appealing approach in finding solutions of non-smooth composite optimization problems, which may only has weak convergence in the infinite-dimensional ...modified ... See full document

... type algorithm for solving proximal split feasibility problems and prove the strong convergence of the sequences generated by our iterative schemes in Hilbert ...prove strong ... See full document

... The class of asymptotically nonexpansive mappings was introduced by Goebel and Kirk 1 in 1972. They proved that if C is a nonempty bounded closed convex subset of a uniformly convex Banach space E, then every ... See full document

... regularization proximal point algorithm to solve the pro- blem of finding a common fixed point of a finite family of nonexpansive self-mappings in a uniformly convex and uniformly smooth Banach space ... See full document

... a strong convergence theorem for finding a common element of the set of common fixed points for a finite family of these new mappings and the set of common solutions of variational inequality problems for a ... See full document

... new algorithm for solving the split common fixed point problem for infinite families of demicontractive ...mappings. Strong convergence of the proposed method is established under suitable ... See full document

... It is well known that the iterative methods for finding hierarchical fixed points of non- expansive mappings can also be used to solve a convex minimization problem; see, for example, [,[r] ... See full document

... explicit algorithm is introduced to solve the monotone variational inequality over a triple hierarchical ...The strong convergence for the proposed algorithm to the solution is guaranteed ... See full document

... The purpose of this paper is to present a significant answer to the above open question. we will show that the sequence {α n } satisfying the conditions C1 and C2 is sufficient to guarantee the strong ... See full document