Criteria for convergence of iterates in a compression-expansion fixed point theorem of functional type

Richard I. Avery; Douglas R. Anderson; Johnny Henderson

Book Chapter

Criteria for convergence of iterates in a compression-expansion fixed point theorem of functional type

Avery R
Anderson D
Henderson J

Springer International Publishing, (2018), 21-35

DOI: 10.1007/978-3-319-89815-5_2

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Abstract

In this paper we show how one can use suitable k-contractive conditions to prove that iterates converge to a fixed point guaranteed by a compression-expansion fixed point theorem of functional type, even though the operator is not known to be invariant on the underlying set.

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Avery, R. I., Anderson, D. R., & Henderson, J. (2018). Criteria for convergence of iterates in a compression-expansion fixed point theorem of functional type. In Springer Optimization and Its Applications (Vol. 134, pp. 21–35). Springer International Publishing. https://doi.org/10.1007/978-3-319-89815-5_2

Criteria for convergence of iterates in a compression-expansion fixed point theorem of functional type

Abstract

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