One-local retract and common fixed point in modular function spaces
Saleh Abdullah Al-Mezel, Abdullah M. Al-roqi, Mohamed A. Khamsi · Fixed Point Theory and Applications · 2012
In this paper, we introduce and study the concept of one-local retract in modular function spaces.In particular, we prove that any commutative family of r-nonexpansive mappings defined on a nonempty, r-closed and r-bounded subset of a modular function space has a common fixed point provided its convexity structure of admissible subsets is compact and normal.