TY - JOUR AU - Gerhardy, Philipp PY - 2004/12/11 Y2 - 2024/03/29 TI - A Quantitative Version of Kirk's Fixed Point Theorem for Asymptotic Contractions JF - BRICS Report Series JA - BRICS VL - 11 IS - 32 SE - Articles DO - 10.7146/brics.v11i32.21857 UR - https://tidsskrift.dk/brics/article/view/21857 SP - AB - 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. ER -