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Time-dependent Lipschitz attractors for non-semigroup evolution processes

Part of: Real functions Connections with other structures, applications Special properties

Published online by Cambridge University Press:  09 April 2009

Mihai Turinici
Mihai Turinici
Affiliation:
Seminarul Matematic “Al.Myller” University of Iaşi6600 Iaşi Romania
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Abstract

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A maximality principle on quasi-ordered pseudo-metric spaces is used to obtain a number of Lipschitz attraction results for non-semigroup evolution processes with respect to time-dependent families. As particular cases, a multivalued version of Dieudonné's means value theorem and the Kirk-Ray lipschitzianness test are derived.

Keywords

maximal elementevolution processfunction-attractive time-dependent familymean value theoremlipschitzianness test

MSC classification

Secondary: 54F05: Linearly ordered topological spaces, generalized ordered spaces, and partially ordered spaces 54H20: Topological dynamics 26A24: Differentiation (functions of one variable)
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 38 , Issue 1 , February 1985 , pp. 103 - 117
Copyright
Copyright © Australian Mathematical Society 1985

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