Isotonicity of the metric projection with applications to variational inequalities and fixed point theory in Banach spaces

© 2016 Springer International PublishingIn this paper, we discuss isotonicity characterizations of the metric projection operator, including its necessary and sufficient conditions for isotonicity onto sublattices in Banach spaces. Then, we demonstrate their applications to variational inequalities...

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Bibliographic Details
Main Authors: Kong, Dezhou, Liu, Lishan, Wu, Yong Hong
Format: Journal Article
Published: 2016
Online Access:http://hdl.handle.net/20.500.11937/52192