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Title: Split Null Point Problems and Fixed Point Problems for Demicontractive Multivalued Mappings
Authors: Pachara Jailoka
Suthep Suantai
Authors: Pachara Jailoka
Suthep Suantai
Keywords: Mathematics
Issue Date: 1-Oct-2018
Abstract: © 2018, Springer Nature Switzerland AG. In this paper, we consider the split null point problem and the fixed point problem for multivalued mappings in Hilbert spaces. We introduce a Halpern-type algorithm for solving the problem for maximal monotone operators and demicontractive multivalued mappings, and establish a strong convergence result under some suitable conditions. Also, we apply our problem of main result to other split problems, that is, the split feasibility problem, the split equilibrium problem, and the split minimization problem. Finally, a numerical result for supporting our main result is also supplied.
ISSN: 16605454
Appears in Collections:CMUL: Journal Articles

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