Some presic type generalizations of 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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*Correspondence: [email protected] 1Department of Mathematics, Çankaya University, Ankara, 06530, Turkey Full list of author information is available at the end of the article Abstract We prove that the Banacah contraction principle proved by Matthews in 1994 on 0-complete partial metric spaces can be extended to cyclical mappings. However, the generalized contraction principle proved by (I...
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ژورنال
عنوان ژورنال: Mathematica Moravica
سال: 2011
ISSN: 1450-5932,2560-5542
DOI: 10.5937/matmor1101041r