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Title: A Self-Adaptive Algorithm for Split Null Point Problems and Fixed Point Problems for Demicontractive Multivalued Mappings
Authors: Suthep Suantai
Pachara Jailoka
Authors: Suthep Suantai
Pachara Jailoka
Keywords: Mathematics
Issue Date: 1-Dec-2020
Abstract: © 2020, Springer Nature B.V. In this work, we study the split null point problem and the fixed point problem in Hilbert spaces. We introduce a self-adaptive algorithm based on the viscosity approximation method without prior knowledge of the operator norm for finding a common solution of the considered problem for maximal monotone mappings and demicontractive multivalued mappings. A strong convergence result of our proposed algorithm is established under some suitable conditions. Some convergence results for the split feasibility problem and the split minimization problem are consequences of our main result. Finally, we also give numerical examples for supporting our main result.
ISSN: 15729036
Appears in Collections:CMUL: Journal Articles

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