Reduced Assumption in the Banach Contraction Principle
نویسندگان
چکیده
منابع مشابه
The Banach contraction mapping principle and cohomology
By a dynamical system (X, T ) we mean the action of the semigroup (Z,+) on a metrizable topological space X induced by a continuous selfmap T : X → X. Let M(X) denote the set of all compatible metrics on the space X. Our main objective is to show that a selfmap T of a compact space X is a Banach contraction relative to some d1 ∈ M(X) if and only if there exists some d2 ∈ M(X) which, regarded as...
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ژورنال
عنوان ژورنال: Journal of Mathematics and Statistics
سال: 2006
ISSN: 1549-3644
DOI: 10.3844/jmssp.2006.343.345