2 papers
math.FA2026
An Extension and Refinement of the Brouwer-Schauder-Tychonoff Fixed Point Theorem
Lixin Cheng, Chulei Liu, Wen Zhang
In this paper, we present the Brouwer-Schauder-Tychonoff fixed point theorem on locally convex spaces as the following extension and improvement: Suppose that S is a compact star-s…
math.FA2025
On Klee's problem of convex bodies in Banach spaces
Lixin Cheng, Chunlan Jiang, Liping Yuan
It is well known that every convex body in a finite dimensional normed space can be uniformly approximated by strictly convex and smooth convex bodies. However, in the case of infi…