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Strong convergence for total quasi-ϕ-asymptotically nonexpansive semigroups in Banach spaces

Strong convergence for total quasi-ϕ-asymptotically nonexpansive semigroups in Banach spaces

The purpose of this article is to use the modified Halpern-Mann type iteration algorithm for total quasi-ϕ-asymptotically nonexpansive semigroups to prove strong convergence in Banach spaces. The main results presented in this paper extend and improve the corresponding results of many authors. MSC:47H05, 47H09, 49M05.