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

Buthinah Abdullatif Bin Dehaish, Mohamed A. Khamsi, Wojciech M. Kozƚowski · Fixed Point Theory and Applications · 2015

Abstract Let C be a ρ-bounded, ρ-closed, convexsubset of a modular function space "Equation missing". We investigate the problem of constructingcommon fixed points for asymptotic pointwise nonexpansive semigroups of mappings"Equation missing", i.e. a family such that"Equation missing", "Equation missing", and "Equation missing", where "Equation missing", for every "Equation missing". MSC: 47H09, 46B20, 47H10, 47E10.

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