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International Journal of Nonlinear Analysis and Applications
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Saluja, G. (2011). Convergence theorems of multi-step iterative algorithm with errors for generalized asymptotically quasi-nonexpansive mappings in Banach spaces. International Journal of Nonlinear Analysis and Applications, 2(1), 85-96. doi: 10.22075/ijnaa.2011.108
G.S. Saluja. "Convergence theorems of multi-step iterative algorithm with errors for generalized asymptotically quasi-nonexpansive mappings in Banach spaces". International Journal of Nonlinear Analysis and Applications, 2, 1, 2011, 85-96. doi: 10.22075/ijnaa.2011.108
Saluja, G. (2011). 'Convergence theorems of multi-step iterative algorithm with errors for generalized asymptotically quasi-nonexpansive mappings in Banach spaces', International Journal of Nonlinear Analysis and Applications, 2(1), pp. 85-96. doi: 10.22075/ijnaa.2011.108
Saluja, G. Convergence theorems of multi-step iterative algorithm with errors for generalized asymptotically quasi-nonexpansive mappings in Banach spaces. International Journal of Nonlinear Analysis and Applications, 2011; 2(1): 85-96. doi: 10.22075/ijnaa.2011.108

Convergence theorems of multi-step iterative algorithm with errors for generalized asymptotically quasi-nonexpansive mappings in Banach spaces

Article 11, Volume 2, Issue 1, Winter and Spring 2011, Page 85-96  XML PDF (182 K)
DOI: 10.22075/ijnaa.2011.108
Author
G.S. Saluja*
Department of Mathematics & Information Technology, Govt. Nagarjun P.G. College of Science, Raipur (C.G.), India.
Abstract
The purpose of this paper is to study and give the necessary and
sufficient condition of strong convergence of the multi-step iterative algorithm
with errors for a finite family of generalized asymptotically quasi-nonexpansive
mappings to converge to common fixed points in Banach spaces. Our results
extend and improve some recent results in the literature (see, e.g. [2, 3, 5, 6, 7, 8,
11, 14, 19]).
Keywords
Generalized asymptotically quasi–nonexpansive mapping; multi–step iterative algorithm with bounded errors; Common fixed point; Banach space; strong convergence
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