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New Applications of γ-Quasiconvexity Read chapter Read first chapter

2018 | OriginalPaper | Chapter

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

Authors : Richard I. Avery, Douglas R. Anderson, Johnny Henderson

Published in: Applications of Nonlinear Analysis

Publisher: Springer International Publishing

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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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Metadata
Title
Criteria for Convergence of Iterates in a Compression-Expansion Fixed Point Theorem of Functional Type
Authors
Richard I. Avery
Douglas R. Anderson
Johnny Henderson
Copyright Year
2018
Book
Applications of Nonlinear Analysis

Print ISBN: 978-3-319-89814-8

Electronic ISBN: 978-3-319-89815-5

Copyright Year: 2018

DOI
https://doi.org/10.1007/978-3-319-89815-5_2

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