The best approximation theorems and fixed point theorems for discontinuous increasing mappings in Banach spaces
| dc.contributor.author | Kong, D. | |
| dc.contributor.author | Liu, Lishan | |
| dc.contributor.author | Wu, Yong Hong | |
| dc.date.accessioned | 2017-01-30T14:50:36Z | |
| dc.date.available | 2017-01-30T14:50:36Z | |
| dc.date.created | 2015-10-29T04:09:47Z | |
| dc.date.issued | 2015 | |
| dc.identifier.citation | Kong, D. and Liu, L. and Wu, Y.H. 2015. The best approximation theorems and fixed point theorems for discontinuous increasing mappings in Banach spaces. Abstract and Applied Analysis. 2015 (Article ID 165053): pp. 1-7. | |
| dc.identifier.uri | http://hdl.handle.net/20.500.11937/41334 | |
| dc.identifier.doi | 10.1155/2015/165053 | |
| dc.description.abstract |
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 theory. Moreover, we get some properties of the generalized projection operator in Banach spaces. As applications of our best approximation theorems, the fixed point theorems for non-self-maps are established and proved under some conditions. Our results are generalizations and improvements of the recent results obtained by many authors. | |
| dc.publisher | Hindawi Publishing Corporation | |
| dc.title | The best approximation theorems and fixed point theorems for discontinuous increasing mappings in Banach spaces | |
| dc.type | Journal Article | |
| dcterms.source.volume | 2015 | |
| dcterms.source.issn | 1085-3375 | |
| dcterms.source.title | Abstract and Applied Analysis | |
| curtin.note |
This open access article is distributed under the Creative Commons license | |
| curtin.department | Department of Mathematics and Statistics | |
| curtin.accessStatus | Open access |