Title
On the convergence of iteration processes for semigroups of nonlinear mappings in modular function spaces
Publication Date
2015
Document Type
Article
Abstract
Let C be a ρ-bounded, ρ-closed, convex subset of a modular function space Lρ. We investigate the problem of constructing common fixed points for asymptotic pointwise nonexpansive semigroups of mappings Tt : C → C, i.e. a family such that T0(f) = f, Ts+t(f) = Ts ◦ Tt(f), and ρ(T(f) – T(g)) ≤ αt(f)ρ(f – g), where lim supt→∞ αt(f) ≤ 1, for every f ∈ C.
COinS
Comments
Bin Dehaish, B.A., Khamsi, M.A. & Kozlowski, W.M. Fixed Point Theory Appl (2015) 2015: 3. https://doi.org/10.1186/1687-1812-2015-3