Existence and structure of the common fixed points based on TVS
Issa Mohamadi, Shahram Saeidi · Filomat · 2017
In this paper, we investigate the common fixed point property for commutative nonexpansive mappings on τ-compact convex sets in normed and Banach spaces, where τ is a Hausdorff topological vector space topology that is weaker than the norm topology. As a consequence of our main results, we obtain that the set of common fixed points of any commutative family of nonexpansive self-mappings of a nonempty clm-compact (resp. weak* compact) convex subset C of L1(μ) with a σ-finite μ (resp. the James space J0) is a nonempty nonexpansive retract of C.