STRONG CONVERGENCE THEOREMS FOR A FINITE FAMILY OF ASYMPTOTICALLY QUASI-NONEXPANSIVE-TYPE NONSELF-MAPPINGS IN BANACH SPACES
Abstract
In this paper, we introduce and study a new type of multistep iterative sequence with errors for a finite family of asymptotically quasi-nonexpansive-type nonself-mappings in Banach spaces. The strong convergence of a multistep iterative scheme with errors to a common fixed point of a finite family of asymptotically quasi-nonexpansive-type nonself-mappings on a nonempty closed convex subset of a real Banach space is proved. Furthermore, a sufficient condition for convergence of the iteration process to a common fixed point of mappings under our setting is also established in a real uniformly convex Banach space. The results obtained in this paper extend and improve the several recent results in this area.
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ISSN: 1229-1595 (Print), 2466-0973 (Online)
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