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ORBITALLY NONEXPANSIVE MAPPINGS

Part of: Smooth dynamical systems: general theory Nonlinear operators and their properties

Published online by Cambridge University Press:  11 November 2015

ENRIQUE LLORENS-FUSTER
ENRIQUE LLORENS-FUSTER*
Affiliation:
Department of Mathematical Analysis, University of Valencia, Dr. Moliner 50, 46100 Burjassot, Valencia, Spain email [email protected]
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Abstract

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We define a class of nonlinear mappings which is properly larger than the class of nonexpansive mappings. We also give a fixed point theorem for this new class of mappings.

Keywords

fixed pointnonexpansive mappingnormal structure

MSC classification

Primary: 47H09: Contraction-type mappings, nonexpansive mappings, $A$-proper mappings, etc.
Secondary: 37C25: Fixed points, periodic points, fixed-point index theory 47H10: Fixed-point theorems
Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 93 , Issue 3 , June 2016 , pp. 497 - 503
Creative Commons
Creative Common License - CCCreative Common License - BY
This is an Open Access article, distributed under the terms of the Creative Commons Attribution licence (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted re-use, distribution, and reproduction in any medium, provided the original work is properly cited.
Copyright
© 2015 Australian Mathematical Publishing Association Inc.

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