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dc.contributor.authorLiu, Lishan
dc.contributor.authorKong, D.
dc.contributor.authorWu, Yong Hong
dc.date.accessioned2017-01-30T15:00:43Z
dc.date.available2017-01-30T15:00:43Z
dc.date.created2015-10-29T04:09:47Z
dc.date.issued2015
dc.identifier.citationLiu, L. and Kong, D. and Wu, Y.H. 2015. The best approximation theorems and variational inequalities for discontinuous mappings in Banach spaces. Science China Mathematics. 58 (12): pp. 2581-2592.
dc.identifier.urihttp://hdl.handle.net/20.500.11937/42595
dc.identifier.doi10.1007/s11425-015-5020-6
dc.description.abstract

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 the metric projection operator in Banach spaces. As applications of our best approximation theorems, three fixed point theorems for non-self maps are established and proved under some conditions. Our results are generalizations and improvements of various recent results obtained by many authors.

dc.publisherScience in China Press
dc.titleThe best approximation theorems and variational inequalities for discontinuous mappings in Banach spaces
dc.typeJournal Article
dcterms.source.issn1674-7283
dcterms.source.titleScience China Mathematics
curtin.departmentDepartment of Mathematics and Statistics
curtin.accessStatusFulltext not available


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