An Open Mapping Theorem using Lower Semicontinuous Functions
We give a simple and direct proof, using lower semicontinuous functions, of a generalization of the open mapping theorem for metrizable topological vector spaces (that are not necessarily locally convex) and operators with complete graph. Our result is in a form more applicable to applied (convex) analysis.
Metrizable topological vector space, locally convex space, lower semi continuous, sublevel set, open map, convex cone
Mathematics | Operations and Supply Chain Management
Taylor and Francis
An Open Mapping Theorem using Lower Semicontinuous Functions. (1989). Optimization. 20, (4), 397-400. Research Collection Lee Kong Chian School Of Business.
Available at: http://ink.library.smu.edu.sg/lkcsb_research/2211