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Commun. Korean Math. Soc. 2018; 33(3): 767-786
Online first article July 11, 2018 Printed July 31, 2018
https://doi.org/10.4134/CKMS.c170074
Copyright © The Korean Mathematical Society.
Weak and strong convergence theorems for the modified Ishikawa iteration for two hybrid multivalued mappings in Hilbert spaces
Watcharaporn Cholamjiak, Natchaphan Chutibutr, Siwanat Weerakham
University of Phayao, University of Phayao, University of Phayao
In this paper, we introduce new iterative schemes by using the modified Ishikawa iteration for two hybrid multivalued mappings in a Hilbert space. We then obtain weak convergence theorem under suitable conditions. We use CQ and shrinking projection methods with Ishikawa iteration for obtaining strong convergence theorems. Furthermore, we give examples and numerical results for supporting our main results.
Keywords: weak convergence, strong convergence, common fixed point, hybrid multivalued mapping, Ishikawa iteration
MSC numbers: 47H10, 54H25
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