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MONOTONE LIPSCHITZIAN SEMIGROUPS IN BANACH SPACES

Part of: Nonlinear operators and their properties

Published online by Cambridge University Press:  18 June 2018

WOJCIECH M. KOZLOWSKI
WOJCIECH M. KOZLOWSKI*
Affiliation:
School of Mathematics and Statistics, University of New South Wales, Sydney, NSW 2052, Australia email w.m.kozlowski@unsw.edu.au
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Abstract

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We prove the existence of common fixed points for monotone contractive and monotone nonexpansive semigroups of nonlinear mappings acting in Banach spaces equipped with partial order. We also discuss some applications to differential equations and dynamical systems.

Keywords

fixed pointcommon fixed pointmonotone nonexpansive mappingnonexpansive mappingcontractionsemigroup of mappingsmonotone nonexpansive semigroupdifferential equationsdynamical systems

MSC classification

Primary: 47H10: Fixed-point theorems
Secondary: 47H09: Contraction-type mappings, nonexpansive mappings, $A$-proper mappings, etc.
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 105 , Issue 3 , December 2018 , pp. 417 - 428
Copyright
© 2018 Australian Mathematical Publishing Association Inc. 

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