Minimax theorems for set-valued maps without continuity assumptions
Optimization and Control
2015-10-09 v3
Abstract
We introduce several classes of set-valued maps with generalized convexity. We obtain minimax theorems for set-valued maps which satisfy the introduced properties and are not continuous, by using a fixed point theorem for weakly naturally quasi-concave set-valued maps defined on a simplex in a topological vector space.
Cite
@article{arxiv.1304.0339,
title = {Minimax theorems for set-valued maps without continuity assumptions},
author = {Monica Patriche},
journal= {arXiv preprint arXiv:1304.0339},
year = {2015}
}
Comments
22 pages