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arXiv · 1306.3724

A fixed point theorem for closed-graphed decomposable-valued correspondences

Idione Meneghel·Rabee Tourky
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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).

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Idione Meneghel, Rabee Tourky. 2013-06-19. A fixed point theorem for closed-graphed decomposable-valued correspondences. https://arxiv.org/abs/1306.3724

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