Complementarity problems over cones with monotone and pseudomonotone maps

descriptionPublicationkeyboard_double_arrow_right Article 01 Apr 1976 English Publisher:Springer Science and Business Media LLCJournal:Journal of Optimization Theory and Applications, volume 18, pages 445-454 (issn: 0022-3239, eissn: 1573-2878,

Copyright policy )

Authors: Karamardian, S.;

doi: 10.1007/bf00932654

Complementarity problems over cones with monotone and pseudomonotone maps

- Summary
- Subjects
- Metrics

Abstract

The notion of a monotone map is generalized to that of a pseudomonotone map. It is shown that a differentiable, pseudoconvex function is characterized by the pseudomonotonicity of its gradient. Several existence theorems are established for a given complementarity problem over a certain cone where the underlying map is either monotone or pseudomonotone under the assumption that the complementarity problem has a feasible or strictly feasible point.

Related Organizations

University of California, Irvine
United States

Keywords

Numerical methods in optimal control, Mathematical programming, Existence theories in calculus of variations and optimal control

Impact byBIP!

	selected citations These citations are derived from selected sources. This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	258
	popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.	Top 1%
	influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	Top 0.1%
	impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.	Average