A new multistep iteration for a finite family of asymptotically quasi-nonexpansive mappings in convex metric spaces
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Authors
Birol Gunduz
- Department of Mathematics, Faculty of Science and Art, Erzincan University, Erzincan, 24000, Turkey.
Abstract
Sufficient conditions for the convergence of a new multistep iteration to a common fixed point of a
finite family of asymptotically quasi-nonexpansive mappings in the framework of convex metric spaces are
obtained. As an application, related results for a new three step iteration are derived. Our convergence
results generalize and refine many known results.
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ISRP Style
Birol Gunduz, A new multistep iteration for a finite family of asymptotically quasi-nonexpansive mappings in convex metric spaces, Journal of Nonlinear Sciences and Applications, 9 (2016), no. 3, 1365--1372
AMA Style
Gunduz Birol, A new multistep iteration for a finite family of asymptotically quasi-nonexpansive mappings in convex metric spaces. J. Nonlinear Sci. Appl. (2016); 9(3):1365--1372
Chicago/Turabian Style
Gunduz, Birol. "A new multistep iteration for a finite family of asymptotically quasi-nonexpansive mappings in convex metric spaces." Journal of Nonlinear Sciences and Applications, 9, no. 3 (2016): 1365--1372
Keywords
- Iteration process
- convex metric spaces
- asymptotically quasi-nonexpansive mappings
- common fixed point
- strong convergence.
MSC
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