Isotonicity of the Metric Projection and Complementarity Problems in Hilbert Spaces

Journal of Optimization Theory and Applications ◽

10.1007/s10957-017-1162-8 ◽

2017 ◽

Vol 175 (2) ◽

pp. 341-355 ◽

Author(s):

Dezhou Kong ◽

Lishan Liu ◽

Yonghong Wu

Keyword(s):

Hilbert Spaces ◽

Complementarity Problems ◽

Metric Projection

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Smoothness of the metric projection onto nonconvex bodies in Hilbert spaces

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2016.08.064 ◽

2018 ◽

Vol 457 (2) ◽

pp. 1307-1332 ◽

Author(s):

Rafael Correa ◽

David Salas ◽

Lionel Thibault

Keyword(s):

Hilbert Spaces ◽

Metric Projection

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A duality between the metric projection onto a convex cone and the metric projection onto its dual in Hilbert spaces

Nonlinear Analysis ◽

10.1016/j.na.2013.11.013 ◽

2014 ◽

Vol 97 ◽

pp. 1-3 ◽

Author(s):

S.Z. Németh

Keyword(s):

Hilbert Spaces ◽

Convex Cone ◽

Metric Projection

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Finding solutions of implicit complementarity problems by isotonicity of the metric projection

Nonlinear Analysis ◽

10.1016/j.na.2011.10.033 ◽

2012 ◽

Vol 75 (4) ◽

pp. 2349-2361 ◽

Author(s):

M. Abbas ◽

S.Z. Németh

Keyword(s):

Complementarity Problems ◽

Metric Projection

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Completely Generalized Strongly Nonlinear Quasi-complementarity Problems in Hilbert Spaces

Journal of Mathematical Analysis and Applications ◽

10.1006/jmaa.1995.1262 ◽

1995 ◽

Vol 193 (2) ◽

pp. 706-714 ◽

Author(s):

L.C. Zeng

Keyword(s):

Hilbert Spaces ◽

Complementarity Problems ◽

Strongly Nonlinear

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Generalized strongly nonlinear quasi-complementarity problems in Hilbert spaces

Applied Mathematics and Mechanics ◽

10.1007/bf02016337 ◽

1990 ◽

Vol 11 (6) ◽

pp. 519-525

Author(s):

Zhang Shi-sheng ◽

Huang Nan-jing

Keyword(s):

Hilbert Spaces ◽

Complementarity Problems ◽

Strongly Nonlinear

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Solving nonlinear complementarity problems by isotonicity of the metric projection

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2011.08.048 ◽

2012 ◽

Vol 386 (2) ◽

pp. 882-893 ◽

Author(s):

M. Abbas ◽

S.Z. Németh

Keyword(s):

Complementarity Problems ◽

Metric Projection ◽

Nonlinear Complementarity Problems ◽

Nonlinear Complementarity

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Equivalence of Linear Complementarity Problems and Linear Programs in Vector Lattice Hilbert Spaces

SIAM Journal on Control and Optimization ◽

10.1137/0318005 ◽

1980 ◽

Vol 18 (1) ◽

pp. 76-90 ◽

Author(s):

C. W. Cryer ◽

M. A. H. Dempster

Keyword(s):

Hilbert Spaces ◽

Complementarity Problems ◽

Vector Lattice ◽

Linear Complementarity Problems ◽

Linear Complementarity ◽

Linear Programs

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Cardinality of the metric projection on typical compact sets in Hilbert spaces

Mathematical Proceedings of the Cambridge Philosophical Society ◽

10.1017/s0305004198003193 ◽

1999 ◽

Vol 126 (1) ◽

pp. 37-44 ◽

Author(s):

F. S. De BLASI ◽

T. I. ZAMFIRESCU

Keyword(s):

Hilbert Spaces ◽

Metric Projection ◽

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On Closures of Preimages of Metric Projection Mappings in Hilbert Spaces

Set-Valued and Variational Analysis ◽

10.1007/s11228-015-0350-7 ◽

2015 ◽

Vol 23 (4) ◽

pp. 581-612 ◽

Author(s):

Dariusz Zagrodny

Keyword(s):

Hilbert Spaces ◽

Metric Projection

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

Optimization ◽

10.1080/02331930902968365 ◽

2010 ◽

Vol 59 (8) ◽

pp. 1117-1121 ◽

Author(s):

S.Z. Németh

Keyword(s):

Hilbert Spaces ◽

Metric Projection

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