Brouwer's Fixed Point Theorem with Isolated Fixed Points and His Fan Theorem
Author(s) -
Yasuhito Tanaka
Publication year - 2012
Publication title -
isrn computational mathematics
Language(s) - English
Resource type - Journals
ISSN - 2090-7842
DOI - 10.5402/2012/843256
Subject(s) - fixed point theorem , kakutani fixed point theorem , brouwer fixed point theorem , fixed point , fixed point property , lefschetz fixed point theorem , schauder fixed point theorem , mathematics , picard–lindelöf theorem , discrete mathematics , mathematical analysis
We show that Brouwer’s fixed point theorem with isolated fixed points is equivalent to Brouwer’s fan theorem.
Accelerating Research
Robert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom
Address
John Eccles HouseRobert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom