Coderivative characterizations of maximal monotonicity for set-valued mappings
Optimization and Control
2015-01-05 v1
Abstract
This paper concerns generalized differential characterizations of maximal monotone set-valued mappings. Using advanced tools of variational analysis, we establish coderivative criteria for maximal monotonicity of set-valued mappings, which seem to be the first infinitesimal characterizations of maximal monotonicity outside the single-valued case. We also present second-order necessary and sufficient conditions for lower- functions to be convex and strongly convex. Examples are provided to illustrate the obtained results and the imposed assumptions.
Cite
@article{arxiv.1501.00307,
title = {Coderivative characterizations of maximal monotonicity for set-valued mappings},
author = {N. H. Chieu and G. M. Lee and B. S. Mordukhovich and T. T. A. Nghia},
journal= {arXiv preprint arXiv:1501.00307},
year = {2015}
}