Convergence theorems for maximal monotone operators, weak relatively nonexpansive mappings and equilibrium problems

Convergence theorems for maximal monotone operators, weak relatively nonexpansive mappings and equilibrium problems

We introduce hybrid-iterative schemes for solving a system of the zero-finding problems of maximal monotone operators, the equilibrium problem, and the fixed point problem of weak relatively nonexpansive mappings. We then prove, in a uniformly smooth and uniformly convex Banach space, strong converg...

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Main Authors: Kamonrat Nammanee, Suthep Suantai, Prasit Cholamjiak
Format: Journal
Published: 2018
Subjects:
Mathematics
Online Access:https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84864917715&origin=inward
http://cmuir.cmu.ac.th/jspui/handle/6653943832/51793
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Institution: Chiang Mai University
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spelling th-cmuir.6653943832-517932018-09-04T06:09:11Z Convergence theorems for maximal monotone operators, weak relatively nonexpansive mappings and equilibrium problems Kamonrat Nammanee Suthep Suantai Prasit Cholamjiak Mathematics We introduce hybrid-iterative schemes for solving a system of the zero-finding problems of maximal monotone operators, the equilibrium problem, and the fixed point problem of weak relatively nonexpansive mappings. We then prove, in a uniformly smooth and uniformly convex Banach space, strong convergence theorems by using a shrinking projection method. We finally apply the obtained results to a system of convex minimization problems. Copyright © 2012 Kamonrat Nammanee et al. 2018-09-04T06:09:11Z 2018-09-04T06:09:11Z 2012-08-17 Journal 16870042 1110757X 2-s2.0-84864917715 10.1155/2012/804538 https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84864917715&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/51793
institution Chiang Mai University
building Chiang Mai University Library
country Thailand
collection CMU Intellectual Repository
topic Mathematics
spellingShingle Mathematics
Kamonrat Nammanee
Suthep Suantai
Prasit Cholamjiak
Convergence theorems for maximal monotone operators, weak relatively nonexpansive mappings and equilibrium problems
description We introduce hybrid-iterative schemes for solving a system of the zero-finding problems of maximal monotone operators, the equilibrium problem, and the fixed point problem of weak relatively nonexpansive mappings. We then prove, in a uniformly smooth and uniformly convex Banach space, strong convergence theorems by using a shrinking projection method. We finally apply the obtained results to a system of convex minimization problems. Copyright © 2012 Kamonrat Nammanee et al.
format Journal
author Kamonrat Nammanee
Suthep Suantai
Prasit Cholamjiak
author_facet Kamonrat Nammanee
Suthep Suantai
Prasit Cholamjiak
author_sort Kamonrat Nammanee
title Convergence theorems for maximal monotone operators, weak relatively nonexpansive mappings and equilibrium problems
title_short Convergence theorems for maximal monotone operators, weak relatively nonexpansive mappings and equilibrium problems
title_full Convergence theorems for maximal monotone operators, weak relatively nonexpansive mappings and equilibrium problems
title_fullStr Convergence theorems for maximal monotone operators, weak relatively nonexpansive mappings and equilibrium problems
title_full_unstemmed Convergence theorems for maximal monotone operators, weak relatively nonexpansive mappings and equilibrium problems
title_sort convergence theorems for maximal monotone operators, weak relatively nonexpansive mappings and equilibrium problems
publishDate 2018
url https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84864917715&origin=inward
http://cmuir.cmu.ac.th/jspui/handle/6653943832/51793
_version_ 1681423834009305088

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