Isotonicity of the Metric Projection and Complementarity Problems in Hilbert Spaces
dc.contributor.author | Kong, D. | |
dc.contributor.author | Liu, Lishan | |
dc.contributor.author | Wu, Yong Hong | |
dc.date.accessioned | 2017-11-20T08:49:37Z | |
dc.date.available | 2017-11-20T08:49:37Z | |
dc.date.created | 2017-11-20T08:13:36Z | |
dc.date.issued | 2017 | |
dc.identifier.citation | Kong, D. and Liu, L. and Wu, Y.H. 2017. Isotonicity of the Metric Projection and Complementarity Problems in Hilbert Spaces. Journal of Optimization Theory and Applications: pp. 1-15. | |
dc.identifier.uri | http://hdl.handle.net/20.500.11937/57925 | |
dc.identifier.doi | 10.1007/s10957-017-1162-8 | |
dc.description.abstract |
© 2017 Springer Science+Business Media, LLC In this paper, as the extension of the isotonicity of the metric projection, the isotonicity characterizations with respect to two arbitrary order relations induced by cones of the metric projection operator are studied in Hilbert spaces, when one cone is a subdual cone and some relations between the two orders hold. Moreover, if the metric projection is not isotone in the whole space, we prove that the metric projection is isotone in some domains in both Hilbert lattices and Hilbert quasi-lattices. By using the isotonicity characterizations with respect to two arbitrary order relations of the metric projection, some solvability and approximation theorems for the complementarity problems are obtained. Our results generalize and improve various recent results in the field of study. | |
dc.publisher | Springer New York LLC | |
dc.title | Isotonicity of the Metric Projection and Complementarity Problems in Hilbert Spaces | |
dc.type | Journal Article | |
dcterms.source.startPage | 1 | |
dcterms.source.endPage | 15 | |
dcterms.source.issn | 0022-3239 | |
dcterms.source.title | Journal of Optimization Theory and Applications | |
curtin.department | Department of Mathematics and Statistics | |
curtin.accessStatus | Fulltext not available |
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