G. S. SALUJA

7998

Convergence to common fixed points of multi-step iteration process for generalized asymptotically quasi-nonexpansive mappings in convex metric spaces

In this paper, we study strong convergence of multi-step iterations with errors for a finite family of generalized asymptotically quasinonexpansive mappings in the framework of convex metric spaces. The new iteration scheme includes modified Mann and Ishikawa iterations with errors, the three-step iteration scheme of Xu and Noor as special cases in Banach spaces. Our results extend and generalize many known results from the current literature.

Keywords:

Generalized asymptotically quasi-nonexpansive mapping, multi-step iterations with errors, common fixed point, strong convergence convex metric,

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Hacettepe Journal of Mathematics and Statistics-Cover

Yayın Aralığı: 6
Başlangıç: 2002
Yayıncı: Hacettepe Üniversitesi Fen Fakultesi

Arşiv

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