A Note on the Topological Transversality Theorem for Weakly Upper Semicontinuous, Weakly Compact Maps on Locally Convex Topological Vector Spaces

A simple theorem is presented that automatically generates the topological transversality theorem and Leray−Schauder alternatives for weakly upper semicontinuous, weakly compact maps. An application is given to illustrate our results.

Bibliographic Details
Main Author: Donal O’Regan
Format: Article
Language:English
Published: MDPI AG 2020-02-01
Series:Mathematics
Subjects:
Online Access:https://www.mdpi.com/2227-7390/8/3/304