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Nonlinear iterative methods for solving the split common null point problem in Banach spaces |
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| Authors: | Suthep Suantai Yekini Shehu |
| Affiliation: | 1. Center of Excellence in Mathematics and Applied Mathematics, Department of Mathematics, Faculty of Science, Chiang Mai University, Chiang Mai, Thailand;2. Department of Mathematics, Faculty of Science, University of Nigeria, Nsukka, Nigeria |
| Abstract: | In this work, we study the split common null point problem in the framework of Banach spaces. We propose an iterative scheme for solving the problem and then prove strong convergence theorem of the sequences generated by our iterative scheme under suitable conditions. We finally provide some numerical examples to support the main theorem. |
| Keywords: | Split common null point problem strong convergence resolvent operator metric resolvent Banach space |