A modified regularization method for finding zeros of monotone operators in Hilbert spaces

© 2015, Cholamjiak et al. We study the regularization method for solving the variational inclusion problem of the sum of two monotone operators in Hilbert spaces. The strong convergence theorem is then established under some relaxed conditions which mainly improves and recovers that of Qin et al. (F...

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Main Authors:	Prasit Cholamjiak, Watcharaporn Cholamjiak, Suthep Suantai
Format:	Journal
Published:	2018
Subjects:	Agricultural and Biological Sciences
Online Access:	https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84937574501&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/43966
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Institution:	Chiang Mai University

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spelling	th-cmuir.6653943832-439662018-04-25T07:44:12Z A modified regularization method for finding zeros of monotone operators in Hilbert spaces Prasit Cholamjiak Watcharaporn Cholamjiak Suthep Suantai Agricultural and Biological Sciences © 2015, Cholamjiak et al. We study the regularization method for solving the variational inclusion problem of the sum of two monotone operators in Hilbert spaces. The strong convergence theorem is then established under some relaxed conditions which mainly improves and recovers that of Qin et al. (Fixed Point Theory Appl. 2014:75, 2014). We also apply our main result to the convex minimization problem, the fixed point problem and the variational inequality problem. Finally we provide numerical examples for supporting the main result. 2018-01-24T04:36:33Z 2018-01-24T04:36:33Z 2015-12-22 Journal 1029242X 10255834 2-s2.0-84937574501 10.1186/s13660-015-0739-8 https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84937574501&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/43966
institution	Chiang Mai University
building	Chiang Mai University Library
country	Thailand
collection	CMU Intellectual Repository
topic	Agricultural and Biological Sciences
spellingShingle	Agricultural and Biological Sciences Prasit Cholamjiak Watcharaporn Cholamjiak Suthep Suantai A modified regularization method for finding zeros of monotone operators in Hilbert spaces
description	© 2015, Cholamjiak et al. We study the regularization method for solving the variational inclusion problem of the sum of two monotone operators in Hilbert spaces. The strong convergence theorem is then established under some relaxed conditions which mainly improves and recovers that of Qin et al. (Fixed Point Theory Appl. 2014:75, 2014). We also apply our main result to the convex minimization problem, the fixed point problem and the variational inequality problem. Finally we provide numerical examples for supporting the main result.
format	Journal
author	Prasit Cholamjiak Watcharaporn Cholamjiak Suthep Suantai
author_facet	Prasit Cholamjiak Watcharaporn Cholamjiak Suthep Suantai
author_sort	Prasit Cholamjiak
title	A modified regularization method for finding zeros of monotone operators in Hilbert spaces
title_short	A modified regularization method for finding zeros of monotone operators in Hilbert spaces
title_full	A modified regularization method for finding zeros of monotone operators in Hilbert spaces
title_fullStr	A modified regularization method for finding zeros of monotone operators in Hilbert spaces
title_full_unstemmed	A modified regularization method for finding zeros of monotone operators in Hilbert spaces
title_sort	modified regularization method for finding zeros of monotone operators in hilbert spaces
publishDate	2018
url	https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84937574501&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/43966
_version_	1681422471766474752

A modified regularization method for finding zeros of monotone operators in Hilbert spaces

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