Split Null Point Problems and Fixed Point Problems for Demicontractive Multivalued Mappings |
| |
Authors: | Pachara?Jailoka Email authorView authors OrcID profile" target="_blank">Suthep?SuantaiEmail authorView authors OrcID profile |
| |
Institution: | 1.Program in Mathematics, Faculty of Science,Chiang Mai University,Chiang Mai,Thailand;2.Center of Excellence in Mathematics and Applied Mathematics, Department of Mathematics, Faculty of Science,Chiang Mai University,Chiang Mai,Thailand |
| |
Abstract: | 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. |
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |
|