A new iterative process for a hybrid pair of generalized asymptotically nonexpansive single-valued and generalized nonexpansive multi-valued mappings in Banach spaces

© 2015, Suantai and Phuengrattana; licensee Springer. In this paper, we construct an iterative process involving a hybrid pair of a finite family of generalized asymptotically nonexpansive single-valued mappings and a finite family of generalized nonexpansive multi-valued mappings and prove weak and...

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Bibliographic Details
Main Authors: Suantai,S., Phuengrattana,W.
Format: Article
Published: Springer Publishing Company 2015
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Online Access:http://www.scopus.com/inward/record.url?partnerID=HzOxMe3b&scp=84928337136&origin=inward
http://cmuir.cmu.ac.th/handle/6653943832/38936
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Institution: Chiang Mai University
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Summary:© 2015, Suantai and Phuengrattana; licensee Springer. In this paper, we construct an iterative process involving a hybrid pair of a finite family of generalized asymptotically nonexpansive single-valued mappings and a finite family of generalized nonexpansive multi-valued mappings and prove weak and strong convergence theorems of the proposed iterative process in Banach spaces. Our main results extend and generalize many results in the literature.