2 papers
math.FA2026
On strengthened versions of Klee's convex body problem in Banach spaces
Lixin Cheng, Wuyi He, Chulei Liu +1
In a recent article, Cheng, Jiang and Yuan gave an affirmative answer to Klee's convex bodies problem of Banach spaces in the sense of strict convexity and Gâteaux smoothness. In…
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…