Sirawit Premjitpraphan. The methods for solving the general split feasibility problem and fixed point problems. Doctoral Degree(Applied Mathematics). King Mongkut's Institute of Technology Ladkrabang. Central Library. : King Mongkut's Institute of Technology Ladkrabang, 2020.
The methods for solving the general split feasibility problem and fixed point problems
Abstract:
The objective of this thesis is to introduce two main theorems. Firstly, we introduce the iterative algorithms for solving the split feasibility problem and fixed point problem for Lipschitzian quasi-pseudo contractive mapping. Then, we prove strong convergence theorems to find a common solution of these problems under appropriate conditions. Finally, we introduce iterative algorithms for solving the split equality fixed point problem for quasi nonexpansive mappings. After that, we prove a strong convergence theorem for a proposed iterative scheme under some appropriate conditions.