A fixed point theorem for closed-graphed decomposable-valued correspondences
Functional Analysis
2013-06-20 v3 Optimization and Control
Probability
Abstract
We prove a fixed point theorem for closed-graphed, decomposable-valued correspondences whose domain and range is a decomposable set of functions from an atomless measure space to a topological space. One consequence is an improvement of the fixed point theorem in Cellina, Colombo, and Fonda (1986).
Cite
@article{arxiv.1306.3724,
title = {A fixed point theorem for closed-graphed decomposable-valued correspondences},
author = {Idione Meneghel and Rabee Tourky},
journal= {arXiv preprint arXiv:1306.3724},
year = {2013}
}