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SHRINKING PROJECTION ALGORITHMS FOR THE SPLIT COMMON NULL POINT PROBLEM

Part of: Nonlinear operators and their properties

Published online by Cambridge University Press:  29 March 2017

VAHID DADASHI Open the ORCID record for VAHID DADASHI [Opens in a new window]
VAHID DADASHI*
Affiliation:
Department of Mathematics, Sari Branch, Islamic Azad University, Sari, Iran email vahid.dadashi@iausari.ac.ir
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Abstract

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We consider the split common null point problem in Hilbert space. We introduce and study a shrinking projection method for finding a solution using the resolvent of a maximal monotone operator and prove a strong convergence theorem for the algorithm.

Keywords

maximal monotone operatorresolvent operatorprojectionsplit common null point problemshrinking projection algorithm

MSC classification

Primary: 47H05: Monotone operators and generalizations
Secondary: 47H09: Contraction-type mappings, nonexpansive mappings, $A$-proper mappings, etc.
Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 96 , Issue 2 , October 2017 , pp. 299 - 306
Copyright
© 2017 Australian Mathematical Publishing Association Inc. 

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