Weak Cyclic Monotonicity and Existence of Solutions of Differential Inclusions
Classical Analysis and ODEs
2014-11-14 v4 Optimization and Control
Abstract
The notion of weak cyclic monotonicity of set-valued maps generalizing the cyclic monotonicity is introduced. The existence of solutions of differential inclusions with compact, upper semi-continuous, not necessarily convex right-hand sides in R^n is proved for weakly cyclic monotone right-hand sides.
Keywords
Cite
@article{arxiv.1307.2072,
title = {Weak Cyclic Monotonicity and Existence of Solutions of Differential Inclusions},
author = {Elza Farkhi},
journal= {arXiv preprint arXiv:1307.2072},
year = {2014}
}
Comments
7 pages, 23 references