Abstract
© 2014, Sen and Ibeas; licensee Springer. This article investigates the convergence properties of iterative processes involving sequences of self-mappings of metric or Banach spaces. Such sequences are built from a set of primary self-mappings which are either expansive or non-expansive self-mappings and some of the non-expansive ones can be contractive including the case of strict contractions. The sequences are built subject to switching laws which select each active self-mapping on a certain activation interval in such a way that essential properties of boundedness and convergence of distances and iterated sequences are guaranteed. Applications to the important problem of stability of dynamic switched systems are also given.
| Original language | English |
|---|---|
| Article number | 498 |
| Journal | Journal of Inequalities and Applications |
| Volume | 2014 |
| DOIs | |
| Publication status | Published - 26 Dec 2014 |
Keywords
- contractive and strictly contractive self-mappings
- convergence
- expansive
- fixed point
- non-expansive
- stability
- switched dynamic systems