Complex convexity and fixed point theorems in Orlicz modular spaces
Lili Chen, Deyun Chen, Yang Jiang · Banach Center Publications · 2019
In this paper, we prove that every Orlicz modular function space $L_{\Phi ,\rho }$ is complex midpoint locally uniformly convex. As a corollary, $L_{\Phi ,\rho }$ is also complex strictly convex. Furthermore, we introduce the notions of mean nonexpansive