Self-adaptive projection algorithms for solving the split equality problems


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	Self-adaptive projection algorithms for solving the split equality problems


	Fixed Point Theory, Volume 18, No. 1, 2017, 191-202, March 1st, 2017 DOI: 10.24193/fpt-ro.2017.1.15 Authors: Qiao-Li Dong and Songnian He Abstract: In this paper, we first introduce a self-adaptive projection algorithm by adopting Armijo-like searches to solve the spit equality problem (SEP), then we propose a relaxed self-adaptive projection algorithm by using projections onto half-spaces instead of those onto the original convex sets, which is much more practical. Weak convergence results for both algorithms are analyzed. Key Words and Phrases: Split equality problem, self-adaptive projection algorithm, relaxed self-adaptive projection algorithm, Armijo-like searches. 2010 Mathematics Subject Classification: 47H05, 47H07, 47H10. Published on-line: March 1st, 2017. Abstract pdf Fulltext pdf Back to volume's table of contents