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MONOTONE LIPSCHITZIAN SEMIGROUPS IN BANACH SPACES

Published online by Cambridge University Press:  18 June 2018

WOJCIECH M. KOZLOWSKI*
Affiliation:
School of Mathematics and Statistics, University of New South Wales, Sydney, NSW 2052, Australia email [email protected]
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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.

Type
Research Article
Copyright
© 2018 Australian Mathematical Publishing Association Inc. 

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