The best approximation theorems and variational inequalities for discontinuous mappings in Banach spaces

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The best approximation theorems and variational inequalities for discontinuous mappings in Banach spaces

We discuss Ky Fan’s theorem and the variational inequality problem for discontinuous mappings f in a Banach space X. The main tools of analysis are the variational characterizations of the metric projection operator and the order-theoretic fixed point theory. Moreover, we derive some properties of t...

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Bibliographic Details
Main Authors:	Liu, Lishan, Kong, D., Wu, Yong Hong
Format:	Journal Article
Published:	Science in China Press 2015
Online Access:	http://hdl.handle.net/20.500.11937/42595

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