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Korean Mathematical Society JKMS

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J. Korean Math. Soc. 2017; 54(6): 1905-1926

Online first article June 19, 2017      Printed November 1, 2017

https://doi.org/10.4134/JKMS.j160764

Copyright © The Korean Mathematical Society.

Alternating resolvent algorithms for finding a common zero of two accretive operators in Banach spaces

Jong Kyu Kim, Truong Minh Tuyen

Kyungnam University, Thainguyen University

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In this paper we introduce a new iterative method by the combination of the prox-Tikhonov regularization and the alternating resolvents for finding a common zero of two accretive operators in Banach spaces. And we will give some applications and numerical examples. The results of this paper improve and extend the corresponding results announced by many others.

Keywords: accretive operators, prox-Tikhonov method, alternating resolvent method, common zeros, operator equations

MSC numbers: 47H06, 47H09, 47H10, 47J25

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