A Quantitative Version of Kirk's Fixed Point Theorem for Asymptotic Contractions

Authors

  • Philipp Gerhardy

DOI:

https://doi.org/10.7146/brics.v11i32.21857

Abstract

In [J.Math.Anal.App.277(2003) 645-650], W.A.Kirk introduced the notion of asymptotic contractions and proved a fixed point theorem for such mappings. Using techniques from proof mining, we develop a variant of the notion of asymptotic contractions and prove a quantitative version of the corresponding fixed point theorem.

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Published

2004-12-11

How to Cite

Gerhardy, P. (2004). A Quantitative Version of Kirk’s Fixed Point Theorem for Asymptotic Contractions. BRICS Report Series, 11(32). https://doi.org/10.7146/brics.v11i32.21857