Advanced search
Publication Cover
Optimization
A Journal of Mathematical Programming and Operations Research
Volume 67, 2018 - Issue 9: International Workshop on Nonlinear and Variational Analysis 2017
Submit an article Journal homepage
267
Views
31
CrossRef citations to date
0
Altmetric
Special Issue Articles

Strong convergence of an iterative algorithm involving nonlinear mappings of nonexpansive and accretive type

Xiaolong QinInstitute of Fundamental and Frontier Sciences, University of Electronic Science and Technology of China, Chengdu, People's Republic of ChinaView further author information
,
Sun Young ChoInstitute of Fundamental and Frontier Sciences, University of Electronic Science and Technology of China, Chengdu, People's Republic of China;Center for General Education, China Medical University, Taichung, TaiwanORCID Iconhttp://orcid.org/0000-0002-4774-1442View further author information
ORCID Icon &
Lin WangSchool of Statistics and Mathematics, Yunnan University of Finance and Economics, Kunming, People's Republic of ChinaCorrespondence[email protected]
View further author information
Pages 1377-1388 | Received 29 Aug 2017, Accepted 15 Jun 2018, Published online: 02 Jul 2018
 
Sample our Mathematics & Statistics journals, sign in here to start your FREE access for 14 days

ABSTRACT

In this paper, a new iterative method for finding the projection onto the intersection of two closed convex sets in the framework of Banach spaces is presented. It is a viscosity approximation method which produces a strongly convergent sequence.

2010 AMS SUBJECT CLASSIFICATIONS:

Acknowledgements

The authors are grateful to the two anonymous referees for their useful suggestions which improved the contents of this paper.

Disclosure statement

No potential conflict of interest was reported by the authors.

Additional information

Funding

This paper was supported by the National Natural Science Foundation of China under grants numbers 11401152 and 61603227.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Order Reprints Request Corporate Permissions

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

Request Academic Permissions

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.

Related research

People also read lists articles that other readers of this article have read.

Recommended articles lists articles that we recommend and is powered by our AI driven recommendation engine.

Cited by lists all citing articles based on Crossref citations.
Articles with the Crossref icon will open in a new tab.