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 |
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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