A Fixed Point Theorem and Equilibria of Abstract Economies with w-Upper Semicontinuous Set-Valued Maps
Optimization and Control
2013-04-04 v1
Abstract
We introduce the notion of w-upper semicontinuous set valued maps and give a new fixed-point theorem. We also introduce the notion of set valued maps with e-USS-property. These results can be applied to obtain some new equilibrium theorems for abstract economies.
Keywords
Cite
@article{arxiv.1304.1033,
title = {A Fixed Point Theorem and Equilibria of Abstract Economies with w-Upper Semicontinuous Set-Valued Maps},
author = {Carlos Hervés-Beloso and Monica Patriche},
journal= {arXiv preprint arXiv:1304.1033},
year = {2013}
}
Comments
16 pages. arXiv admin note: substantial text overlap with arXiv:1303.7227, arXiv:1303.6979