Title
One-local retract and common fixed point in modular function spaces
Publication Date
7-5-2012
Document Type
Article
Abstract
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 ρ-nonexpansive mappings defined on a nonempty, ρ-closed and ρ-bounded subset of a modular function space has a common fixed point provided its convexity structure of admissible subsets is compact and normal.
COinS
Comments
Al-Mezel, S.A., Al-Roqi, A. & Khamsi, M.A. Fixed Point Theory Appl (2012) 2012: 109. https://doi.org/10.1186/1687-1812-2012-109