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2014 Convergence Properties and Fixed Points of Two General Iterative Schemes with Composed Maps in Banach Spaces with Applications to Guaranteed Global Stability
Manuel De la Sen, Asier Ibeas
Abstr. Appl. Anal. 2014(SI70): 1-13 (2014). DOI: 10.1155/2014/948749

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.

Citation

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Manuel De la Sen. Asier Ibeas. "Convergence Properties and Fixed Points of Two General Iterative Schemes with Composed Maps in Banach Spaces with Applications to Guaranteed Global Stability." Abstr. Appl. Anal. 2014 (SI70) 1 - 13, 2014. https://doi.org/10.1155/2014/948749

Information

Published: 2014
First available in Project Euclid: 3 October 2014

zbMATH: 07023376
MathSciNet: MR3228098
Digital Object Identifier: 10.1155/2014/948749

Rights: Copyright © 2014 Hindawi

Vol.2014 • No. SI70 • 2014
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