Strong convergence of a viscosity iterative algorithm in banach spaces with applications

© 2016 Suwicha Imnang and Suthep Suantai. We present the strong convergence theorems for the viscosity iterative scheme for finding a common element of the solution set of the system of general variational inequalities for two arbitrary nonlinear mappings and the fixed point set of a nonexpansive ma...

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Main Authors:	Suwicha Imnang, Suthep Suantai
Format:	Journal
Published:	2018
Subjects:	Mathematics
Online Access:	https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85003510900&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/55986
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Institution:	Chiang Mai University

id	th-cmuir.6653943832-55986
record_format	dspace
spelling	th-cmuir.6653943832-559862018-09-05T03:07:05Z Strong convergence of a viscosity iterative algorithm in banach spaces with applications Suwicha Imnang Suthep Suantai Mathematics © 2016 Suwicha Imnang and Suthep Suantai. We present the strong convergence theorems for the viscosity iterative scheme for finding a common element of the solution set of the system of general variational inequalities for two arbitrary nonlinear mappings and the fixed point set of a nonexpansive mapping in real 2 uniformly smooth and uniformly convex Banach spaces. Furthermore,we apply our main result with the problem of approximating a zero point of accretive operators and a fixed point of strictly pseudocontractive mappings in Banach spaces. The main results presented in this paper improve and extend some results in the literature. 2018-09-05T03:07:05Z 2018-09-05T03:07:05Z 2016-01-01 Journal 13147552 1312885X 2-s2.0-85003510900 10.12988/ams.2016.66198 https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85003510900&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/55986
institution	Chiang Mai University
building	Chiang Mai University Library
country	Thailand
collection	CMU Intellectual Repository
topic	Mathematics
spellingShingle	Mathematics Suwicha Imnang Suthep Suantai Strong convergence of a viscosity iterative algorithm in banach spaces with applications
description	© 2016 Suwicha Imnang and Suthep Suantai. We present the strong convergence theorems for the viscosity iterative scheme for finding a common element of the solution set of the system of general variational inequalities for two arbitrary nonlinear mappings and the fixed point set of a nonexpansive mapping in real 2 uniformly smooth and uniformly convex Banach spaces. Furthermore,we apply our main result with the problem of approximating a zero point of accretive operators and a fixed point of strictly pseudocontractive mappings in Banach spaces. The main results presented in this paper improve and extend some results in the literature.
format	Journal
author	Suwicha Imnang Suthep Suantai
author_facet	Suwicha Imnang Suthep Suantai
author_sort	Suwicha Imnang
title	Strong convergence of a viscosity iterative algorithm in banach spaces with applications
title_short	Strong convergence of a viscosity iterative algorithm in banach spaces with applications
title_full	Strong convergence of a viscosity iterative algorithm in banach spaces with applications
title_fullStr	Strong convergence of a viscosity iterative algorithm in banach spaces with applications
title_full_unstemmed	Strong convergence of a viscosity iterative algorithm in banach spaces with applications
title_sort	strong convergence of a viscosity iterative algorithm in banach spaces with applications
publishDate	2018
url	https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85003510900&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/55986
_version_	1681424607618269184

Strong convergence of a viscosity iterative algorithm in banach spaces with applications

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