Sign in
Back
On the convergence of iteration processes for semigroups of nonlinear mappings in modular function spaces
Journal article   Open access  Peer reviewed

On the convergence of iteration processes for semigroups of nonlinear mappings in modular function spaces

Buthinah A. Bin Dehaish, Mohamed A. Khamsi and Wojciech M. Kozlowski
Fixed point theory and applications (Hindawi Publishing Corporation), Vol.2015(1), pp.1-18
16/01/2015
DOI: https://doi.org/10.1186/1687-1812-2015-3

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
Let C be a rho-bounded, rho-closed, convex subset of a modular function space L-rho. We investigate the problem of constructing common fixed points for asymptotic pointwise nonexpansive semigroups of mappings T-t : C -> C, i.e. a family such that T-0(f) = f, Ts+t(f) = Ts o T-t (f), and rho(T(f) - T(g)) <= alpha(t)(f)rho(f - g), where lim sup(t ->infinity) alpha(t)(f) <= 1, for every f is an element of C.
url
https://doi.org/10.1186/1687-1812-2015-3View
Published (Version of record) Open

Metrics

1 Record Views

Details