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Error Estimate of Data Dependence for Discontinuous Operators by New Iteration Process with Convergence Analysis |
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| Authors: | Wiyada Kumam Konrawut Khammahawong Poom Kumam |
| Institution: | 1. Program in Applied Statistics, Department of Mathematics and Computer Science, Faculty of Science and Technology, Rajamangala University of Technology Thanyaburi (RMUTT), Thanyaburi, Pathum Thani, Thailand;2. wiyada.kum@rmutt.ac.th;4. KMUTTFixed Point Research Laboratory, Department of Mathematics, Room SCL 802 Fixed Point Laboratory, Science Laboratory Building, Faculty of Science, King Mongkuts University of Technology Thonburi (KMUTT), Thrung Khru, Bangkok, Thailand;5. Center of Excellence in Theoretical and Computational Science (TaCS-CoE), Science Laboratory Building, Faculty of Science, King Mongkuts University of Technology Thonburi (KMUTT), Thrung Khru, Bangkok, Thailand |
| Abstract: | AbstractIn this paper, we introduce a new discontinuous operator and investigate the existence and uniqueness of fixed points for the operators in complete metric spaces. We also provide rate of convergence and data dependency of S-iterative scheme for a fixed point of the discontinuous operators in Banach spaces. Moreover, we prove the estimation Collage theorems and compare error estimate between data dependency and Collage theorems. Numerical examples are provided to support our results. |
| Keywords: | Collage theorem data dependency discontinuous operators inverse problem iterative scheme strong convergence |