Publication Cover
Optimization
A Journal of Mathematical Programming and Operations Research
Volume 59, 2010 - Issue 8
210
Views
1
CrossRef citations to date
0
Altmetric
Original Articles

Characterization of subdual latticial cones in Hilbert spaces by the isotonicity of the metric projection

Pages 1117-1121 | Received 17 Mar 2009, Accepted 09 Apr 2009, Published online: 01 Apr 2010

References

  • Isac , G and Németh , AB . 1986 . Monotonicity of metric projections onto positive cones of ordered Euclidean spaces . Arch. Math. , 46 ( 6 ) : 568 – 576 .
  • Isac , G and Németh , AB . 1990 . Every generating isotone projection cone is latticial and correct . J. Math. Anal. Appl. , 147 ( 1 ) : 53 – 62 .
  • Isac , G and Németh , AB . 1990 . Isotone projection cones in Hilbert spaces and the complementarity problem . Boll. Un. Mat. Ital. B , 7 ( 4 ) : 773 – 802 .
  • Isac , G and Németh , AB . 1990 . Projection methods isotone projection cones, and the complementarity problem . J. Math. Anal. Appl. , 153 ( 1 ) : 258 – 275 .
  • Isac , G and Németh , AB . 1992 . Isotone projection cones in Euclidan spaces . Ann. Sci. Math Québec , 16 ( 1 ) : 35 – 52 .
  • Isac , G and Németh , SZ . 2008 . Regular exceptional family of elements with respect to isotone projection cones in Hilbert spaces and complementarity problems . Optim. Lett. , 2 ( 4 ) : 567 – 576 .
  • Moreau , J-J . 1962 . Décomposition orthogonale d'un espace hilbertien selon deux cones mutuellement polaires . C. R. Acad. Sci , 255 : 238 – 240 .
  • Németh , AB . 2003 . Characterization of a Hilbert vector lattice by the metric projection onto its positive cone . J. Approx. Theory , 123 ( 2 ) : 295 – 299 .
  • Németh , SZ . 2008 . Inequalities characterizing coisotone cones in Euclidean spaces . Positivity , 11 ( 3 ) : 469 – 475 .
  • Németh , SZ . 2009 . Iterative methods for nonlinear complementarity problems on isotone projection cones . J. Math. Anal. Appl. , 350 ( 1 ) : 340 – 347 .
  • Zarantonello , EH . 1971 . Projection on Convex Sets in Hilbert Space and Spectral Theory , New York : Acadamic Press .

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.