Criteria for Convergence of Iterates in a Compression-Expansion Fixed Point Theorem of Functional Type

Richard I. Avery (), Douglas R. Anderson () and Johnny Henderson ()
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Richard I. Avery: Dakota State University
Douglas R. Anderson: Concordia College
Johnny Henderson: Baylor University

A chapter in Applications of Nonlinear Analysis, 2018, pp 21-35 from Springer

Abstract: 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.

Keywords: Fixed Point Index; Functional Types; Leggett-Williams Fixed Point Theorem; Conjugate Boundary Value Problems; Petryshyn (search for similar items in EconPapers)
Date: 2018
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Persistent link: https://EconPapers.repec.org/RePEc:spr:spochp:978-3-319-89815-5_2

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

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