Journal
OPTIMIZATION
Volume 68, Issue 5, Pages 955-980Publisher
TAYLOR & FRANCIS LTD
DOI: 10.1080/02331934.2019.1566328
Keywords
Split feasibility problem; weak and strong convergence; self-adaptive method; fixed point problem; Banach space
Funding
- Thailand Research Fund [RSA6180084]
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In this work, we suggest modifications of the self-adaptive method for solving the split feasibility problem and the fixed point problem of nonexpansive mappings in the framework of Banach spaces. Without the assumption on the norm of the operator, we prove that the sequences generated by our algorithms weakly and strongly converge to a solution of the problems. The numerical experiments are demonstrated to show the efficiency and the implementation of our algorithms.
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