Convergence theorems to common fixed points of multi-valued ρ-quasi-nonexpansive mappings in modular function spaces

Abstract

We constructed a Mann-type iteration process for a finite family of multivalued mappings in modular function spaces and the sequence of the algorithm is proved to be a common ρ-approximate fixed point sequence. Using this algorithm we also proved the ρ-converge theorems to common fixed points of finite family of mappings. By doing so we extended very recent results of Zegeye et al.