Abstract
We study convergence, rate of convergence and data dependency of normal−S iterative method for a fixed point of a discontinuous operator T on a Banach space. We also prove some Collage type theorems for T. The main aim here is to show that there is a close relationship between the concepts of data dependency of fixed points and the collage theorems and show that the latter provides better estimate. Numerical examples in support of the results obtained are also given.
| Original language | English |
|---|---|
| Pages (from-to) | 322-345 |
| Number of pages | 24 |
| Journal | Numerical Functional Analysis and Optimization |
| Volume | 39 |
| Issue number | 3 |
| DOIs | |
| State | Published - 17 Feb 2018 |
Bibliographical note
Publisher Copyright:© 2017 Taylor & Francis.
Keywords
- Collage theorem
- data dependency
- inverse problem
- iterative scheme
- strong convergence
ASJC Scopus subject areas
- Analysis
- Signal Processing
- Computer Science Applications
- Control and Optimization