Name
Abstract | ||
|---|---|---|
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. |
Year | DOI | Venue |
|---|---|---|
2017 | 10.1007/s10957-017-1162-8 | J. Optimization Theory and Applications |
Keywords | Field | DocType |
Cone,Isotonicity,Metric projection,Complementarity problem,Quasi-lattice,47H07,39B62,47J20,47H10,49J40 | Hilbert space,Mathematical optimization,Projection (set theory),Mathematical analysis,Convex metric space,Intrinsic metric,Complementarity theory,Operator (computer programming),Isotone,Product metric,Mathematics | Journal |
Volume | Issue | ISSN |
175 | 2 | 0022-3239 |
Citations | PageRank | References |
0 | 0.34 | 3 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Dezhou Kong | 1 | 3 | 1.13 |
| Lishan Liu | 2 | 188 | 35.41 |
| Yonghong Wu | 3 | 212 | 34.70 |