IEICE Trans - A Fixed Point Theorem in Weak Topology for Successively Recurrent System of Fuzzy-Set-Valued Nonlinear Mapping Equations and Its Application to Ring Nonlinear Network Systems

A Fixed Point Theorem in Weak Topology for Successively Recurrent System of Fuzzy-Set-Valued Nonlinear Mapping Equations and Its Application to Ring Nonlinear Network Systems

Kazuo HORIUCHI

Publication
IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences Vol.E94-A No.4 pp.1059-1066
Publication Date: 2011/04/01
Online ISSN: 1745-1337
DOI: 10.1587/transfun.E94.A.1059
Print ISSN: 0916-8508
Type of Manuscript: PAPER
Category: Circuit Theory
Keyword:
ring nonlinear network, uncertain fluctuation, fuzzy-set-valued mapping, recurrent system of mapping equations, fixed point theorem in weak topology,

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Summary:
On uniformly convex real Banach spaces, a fixed point theorem in weak topology for successively recurrent system of fuzzy-set-valued nonlinear mapping equations and its application to ring nonlinear network systems are theoretically discussed in detail. An arbitrarily-level likelihood signal estimation is then established.

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