Strong convergence to solutions of generalized mixed equilibrium problems with applications

We introduce a Halpern-type iteration for a generalized mixed equilibrium problem in uniformly smooth and uniformly convex Banach spaces. Strong convergence theorems are also established in this paper. As applications, we apply our main result to mixed equilibrium, generalized equilibrium, and mixed...

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Bibliographic Details
Main Authors: Cholamjiak P., Suantai S., Cho Y.J.
Format: Article
Language:English
Published: 2014
Online Access:http://www.scopus.com/inward/record.url?eid=2-s2.0-84856475000&partnerID=40&md5=eb49280e42da4a93f3f11bb6fef5daf3
http://cmuir.cmu.ac.th/handle/6653943832/6846
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Institution: Chiang Mai University
Language: English
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Summary:We introduce a Halpern-type iteration for a generalized mixed equilibrium problem in uniformly smooth and uniformly convex Banach spaces. Strong convergence theorems are also established in this paper. As applications, we apply our main result to mixed equilibrium, generalized equilibrium, and mixed variational inequality problems in Banach spaces. Finally, examples and numerical results are also given. © 2012 Prasit Cholamjiak et al.