The best approximation theorems and fixed point theorems for discontinuous increasing mappings in Banach spaces

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The best approximation theorems and fixed point theorems for discontinuous increasing mappings in Banach spaces

We prove that Fan's theorem is true for discontinuous increasing mappings f in a real partially ordered reflexive, strictly convex, and smooth Banach space X. The main tools of analysis are the variational characterizations of the generalized projection operator and order-theoretic fixed point...

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Bibliographic Details
Main Authors:	Kong, D., Liu, Lishan, Wu, Yong Hong
Format:	Journal Article
Published:	Hindawi Publishing Corporation 2015
Online Access:	http://hdl.handle.net/20.500.11937/41334

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