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[PDF] Top 20 Weak- and strong-convergence theorems of solutions to split feasibility problem for nonspreading type mapping in Hilbert spaces

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Weak- and strong-convergence theorems of solutions to split feasibility problem for nonspreading type mapping in Hilbert spaces

Weak- and strong-convergence theorems of solutions to split feasibility problem for nonspreading type mapping in Hilbert spaces

... pseudo-nonspreading mapping, but it is not ...a weak mean ergodic theorem of Baillon’s type [] for nonspreading mappings in Hilbert ...a strong- convergence ... See full document

12

Multiple set split feasibility problems for κ asymptotically strictly pseudo nonspreading mappings in Hilbert spaces

Multiple set split feasibility problems for κ asymptotically strictly pseudo nonspreading mappings in Hilbert spaces

... some weak and strong convergence theorems for solving multiple-set split feasibility problem ...pseudo-nonspreading mapping in infinite-dimensional ... See full document

14

The strong convergence theorems for split common fixed point problem ofasymptotically nonexpansive mappings in Hilbert spaces

The strong convergence theorems for split common fixed point problem ofasymptotically nonexpansive mappings in Hilbert spaces

... of solutions of SCFP ...the split common fixed point problem (SCFP) is a generalization of the split feasibility problem (SFP) and the convex feasibility problem ... See full document

11

Demiclosed principle and convergence theorems for asymptotically strictly pseudononspreading mappings and mixed equilibrium problems

Demiclosed principle and convergence theorems for asymptotically strictly pseudononspreading mappings and mixed equilibrium problems

... of nonspreading type mappings, which is more general than the mappings studied in [] in Hilbert spaces, and proved some weak and strong convergence theorems in ... See full document

20

Weak convergence theorems for split feasibility problems on zeros of the sum of monotone operators and fixed point sets in Hilbert spaces

Weak convergence theorems for split feasibility problems on zeros of the sum of monotone operators and fixed point sets in Hilbert spaces

... a type of split feasibility problem by focusing on the solution sets of two important problems in the setting of Hilbert spaces that are the sum of monotone operators and fixed ... See full document

17

Iterative methods of strong convergence theorems for the split feasibility problem in Hilbert spaces

Iterative methods of strong convergence theorems for the split feasibility problem in Hilbert spaces

... only weak convergence in the infinite-dimensional space (except in the finite-dimensional ...obtain strong convergence, Xu [] proposed the following algorithm which was inspired by the Halpern ... See full document

14

Moudafi’s open question and simultaneous iterative algorithm for general split equality variational inclusion problems and general split equality optimization problems

Moudafi’s open question and simultaneous iterative algorithm for general split equality variational inclusion problems and general split equality optimization problems

... multaneous type iterative algorithm. Under suitable conditions some strong convergence theorems for the sequences generated by the algorithm are proved in the setting of infinite- dimensional ... See full document

17

Strong convergence theorems for the split equality variational inclusion problem and fixed point problem in Hilbert spaces

Strong convergence theorems for the split equality variational inclusion problem and fixed point problem in Hilbert spaces

... identity mapping on Hilbert space H), the problem () is equivalent to the well-known split feasibility problem ...The split equality problems allow asymmetric and partial ... See full document

18

Strong convergence theorems for the split variational inclusion problem in Hilbert spaces

Strong convergence theorems for the split variational inclusion problem in Hilbert spaces

... a split variational inclusion problem and give several strong convergence theorems in Hilbert spaces, like the Halpern-Mann type iteration method, the regularized ... See full document

20

Strong and weak convergence theorems for split equality generalized mixed equilibrium problem

Strong and weak convergence theorems for split equality generalized mixed equilibrium problem

... consider split equality generalized mixed equilibrium problem, which is more general than many problems such as split feasibility problem, split equality problem, ... See full document

19

Weak convergence theorems of a hybrid algorithm in Hilbert spaces

Weak convergence theorems of a hybrid algorithm in Hilbert spaces

... real Hilbert space ...monotone mapping, and let B : C → H be a β-inverse-strongly monotone ...nonexpansive mapping with the sequence { k n } such ... See full document

13

Mathematical programming for the sum of two convex functions with applications to lasso problem, split feasibility problems, and image deblurring problem

Mathematical programming for the sum of two convex functions with applications to lasso problem, split feasibility problems, and image deblurring problem

... establish weak convergence the- orems in infinite dimensional Hilbert spaces for the split feasibility problem (see Theo- rems ...this problem in the infinite ... See full document

23

Iterative Approaches to Find Zeros of Maximal Monotone Operators by Hybrid Approximate Proximal Point Methods

Iterative Approaches to Find Zeros of Maximal Monotone Operators by Hybrid Approximate Proximal Point Methods

... the problem of finding zeros of maximal monotone operators. Weak and strong convergence theorems are established in a real Hilbert ...a problem of finding a minimizer of a ... See full document

18

A strong convergence theorem for equilibrium problems and split feasibility problems in Hilbert spaces

A strong convergence theorem for equilibrium problems and split feasibility problems in Hilbert spaces

... and split feasibility problems, the purpose of this article is to introduce an iterative algorithm for equilibrium problems and split feasibility problems in Hilbert ...of ... See full document

16

New strong convergence theorems for split variational inclusion problems in Hilbert spaces

New strong convergence theorems for split variational inclusion problems in Hilbert spaces

... quasi-nonexpansive mapping if Fix(T ) = ∅ and Tx – y ≤ x – y for every x ∈ C and y ∈ Fix(T ...quasi-nonexpansive mapping. Besides, T is said to be a firmly nonexpansive mapping if Tx – Ty  ≤ x – y, ... See full document

20

Weak Convergence Theorems for a System of Mixed Equilibrium Problems and Nonspreading Mappings in a Hilbert Space

Weak Convergence Theorems for a System of Mixed Equilibrium Problems and Nonspreading Mappings in a Hilbert Space

... Fixed point iterations process for nonexpansive mappings and asymptotically nonexpansive mappings in Banach spaces including Mann and Ishikawa iterations process have been studied extensively by many authors to ... See full document

12

Weak and strong convergence theorems for nonexpansive semigroups in Banach spaces

Weak and strong convergence theorems for nonexpansive semigroups in Banach spaces

... demicompact at 0 (e.g., see [21]). T is said to be demicompact on C if T is demicompact for each y ∈ C. If T is compact on C, then T is demicompact on C. For examples of demicompact mappings, see [1, 2, 12, 13]. We also ... See full document

12

Shrinking projection algorithms for equilibrium problems with a bifunction defined on the dual space of a Banach space

Shrinking projection algorithms for equilibrium problems with a bifunction defined on the dual space of a Banach space

... equilibrium problem (1.1). Under some appropriate assumptions, strong and weak convergence results of the iterative algo- rithms are established, ... See full document

11

Strong convergence theorems by hybrid methods for the split common null point problem in Banach spaces

Strong convergence theorems by hybrid methods for the split common null point problem in Banach spaces

... A is denoted by dom(A), that is, dom(A) = {x ∈ E : Ax = ∅}. A multi-valued mapping A on E is said to be monotone if x – y, u ∗ – v ∗ ≥  for all x, y ∈ dom(A), u ∗ ∈ Ax, and v ∗ ∈ Ay. A monotone operator A on E is ... See full document

13

Weak and Strong Convergence Theorems for Nonexpansive Mappings in Banach Spaces

Weak and Strong Convergence Theorems for Nonexpansive Mappings in Banach Spaces

... From the proof of Theorem 2.1, we give the following strong convergence theorem. Theorem 2.2. Let E be a real uniformly convex Banach space, let K be a nonempty closed convex subset of E, let T : K → K be a ... See full document

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