Best approximation and fixed-point theorems for discontinuous increasing maps in Banach lattices

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Best approximation and fixed-point theorems for discontinuous increasing maps in Banach lattices

In this paper, we extend and prove Ky Fan’s Theorem for discontinuous increasing maps f in a Banach lattice X when f has no compact conditions. The main tools of analysis are the variational characterization of the generalized projection operator and order-theoretic fixed-point theory. Moreover, we...

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Bibliographic Details
Main Authors:	Kong, D., Liu, L., Wu, Yong Hong
Format:	Journal Article
Published:	SpringerOpen 2014
Subjects:	discontinuous increasing map Banach lattice generalized projection operator best approximation theorem
Online Access:	http://hdl.handle.net/20.500.11937/26654

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