APPROXIMATION OF COMMON FIXED POINTS FOR FINITE FAMILIES OF BREGMAN QUASI-TOTAL ASYMPTOTICALLY NONEXPANSIVE MAPPINGS

M. S. Lawan, Bashir Ali, MURTALA HARUNA HARBAU, Godwin Chidi Ugwunnadi · Journal of the Nigerian Mathematical Society · 2017

In this paper we establish necessary and sufficient conditions for the convergence of a multistep iterative scheme to a common fixed point of a finite family of Bregman quasi-total asymptotically nonexpansive mappings in a real Banach space. We then establish strong convergence theorems for finite families of Bregman quasi-total asymptotically nonexpansive mappings in a real uniformly convex Banach spaces. The results presented generalize and improve some recently announced ones.

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