IEEE - Institute of Electrical and Electronics Engineers, Inc. - A homotopy-like simplicial method for approximating fixed points of an increasing mapping from Rn + into itself

2009 IEEE International Conference on Control and Automation (ICCA)

Author(s): Chuangyin Dang
Publisher: IEEE - Institute of Electrical and Electronics Engineers, Inc.
Publication Date: 1 December 2009
Conference Location: Christchurch, New Zealand, New Zealand
Conference Date: 9 December 2009
Page(s): 1,201 - 1,206
ISBN (CD): 978-1-4244-4707-7
ISBN (Paper): 978-1-4244-4706-0
DOI: 10.1109/ICCA.2009.5410219
Regular:

A simple generalization of Tarski's fixed point theorem shows that, if f is an increasing mapping from Rn+ into itself and δ(γ) = {x ∊ Rn+ x ≤ f(x) +... View More

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