New self-adaptive step size algorithms for solving split variational inclusion problems and its applications

In this paper, we study a special instance of the split inverse problem (SIP), which is the split variational inclusion problem (SVIP). Three simple iterative methods for solving it are introduced and weak and strong convergence theorems are established under mild and standard assumptions. As an app...

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Bibliographic Details
Published in:	Numerical algorithms Vol. 83; no. 1; pp. 305 - 331
Main Authors:	Tang, Yan, Gibali, Aviv
Format:	Journal Article
Language:	English
Published:	New York Springer US 01.01.2020 Springer Nature B.V
Subjects:	Adaptive algorithms Algebra Algorithms Computer Science Continuity (mathematics) Data compression Feasibility Inverse problems Iterative methods Mathematical analysis Mathematics Numeric Computing Numerical Analysis Original Paper Theory of Computation Self-adaptive Strong convergence Split variational inclusion problem Convex minimization problems
ISSN:	1017-1398, 1572-9265
Online Access:	Get full text
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