convergence properties and fixed points of two general iterative schemes with composed maps in banach spaces with applications to guaranteed global stability
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ID: 151827
2014
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Abstract
This paper investigates the boundedness and convergence properties of two general iterative processes which involve sequences of self-mappings on either complete metric or Banach spaces. The sequences of self-mappings considered in the first iterative scheme are constructed by linear combinations of a set of self-mappings, each of them being a weighted version of a certain primary self-mapping on the same space. The sequences of self-mappings of the second iterative scheme are powers of an iteration-dependent scaled version of the primary self-mapping. Some applications are also given to the important problem of global stability of a class of extended nonlinear polytopic-type parameterizations of certain dynamic systems.
| Reference Key |
sen2014abstractconvergence
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|---|---|
| Authors | ;Manuel De la Sen;Asier Ibeas |
| Journal | science and technology of advanced materials |
| Year | 2014 |
| DOI |
10.1155/2014/948749
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| URL | |
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