Best approximation and fixed-point theorems for discontinuous increasing maps in Banach lattices
dc.contributor.author | Kong, D. | |
dc.contributor.author | Liu, L. | |
dc.contributor.author | Wu, Yong Hong | |
dc.date.accessioned | 2017-01-30T12:54:37Z | |
dc.date.available | 2017-01-30T12:54:37Z | |
dc.date.created | 2014-05-28T20:00:14Z | |
dc.date.issued | 2014 | |
dc.identifier.citation | Kong, D. and Liu, L. and Wu, Y.H. 2014. Best approximation and fixed-point theorems for discontinuous increasing maps in Banach lattices. Fixed Point Theory and Applications. 2014 (18): pp. 1-10. | |
dc.identifier.uri | http://hdl.handle.net/20.500.11937/26654 | |
dc.identifier.doi | 10.1186/1687-1812-2014-18 | |
dc.description.abstract |
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 establish a sequence {xn} which converges strongly to the unique best approximation point. As an application of our best approximation theorems, a fixed-point theorem for non-self maps is established and proved under some conditions. Our results generalize and improve many recent results obtained by many authors. | |
dc.publisher | SpringerOpen | |
dc.subject | discontinuous increasing map | |
dc.subject | Banach lattice | |
dc.subject | generalized projection operator | |
dc.subject | best approximation theorem | |
dc.title | Best approximation and fixed-point theorems for discontinuous increasing maps in Banach lattices | |
dc.type | Journal Article | |
dcterms.source.volume | 18 | |
dcterms.source.startPage | 1 | |
dcterms.source.endPage | 10 | |
dcterms.source.issn | 1687-1820 | |
dcterms.source.title | Fixed Point Theory and Applications | |
curtin.note |
This article is published under the Open Access publishing model and distributed under the terms of the Creative Commons Attribution License | |
curtin.department | ||
curtin.accessStatus | Open access |