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Convergence of an implicit iteration process with errors for two asymptotically nonexpansive mappings

100%

Temir S.

Demonstratio Mathematica

2013

tom Vol. 46, nr 4

781--793

The purpose of this paper is to introduce an implicit iterative process with errors for approximating common fixed point of two finite families of asymptotically nonexpansive mappings in the framework of Banach space. The results presented in this paper extend and generalize the corresponding results of Qin et al. [Convergence analysis of implicit iterative algorithms for asymptotically nonexpansive mappings, Appl. Math. Comp. 210 (2009), 542–550], Thakur [Weak and strong convergence of composite implicititeration process, Appl. Math. Comp. 190 (2007), 965–973] and some others.

Convergence of implicit iterative process for a finite family of I-nonexpansive mappings

63%

Temir S. , Aykanat G.

Demonstratio Mathematica

2009

tom Vol. 42, nr 1

175-184

We prove that an implicit iterative process conyerges weakly and strongly to a common fixed point of a finite family of I-nonexpansive mappings in a Banach space. The results presented in this paper extend and improve the corresponding results of [1, 3, 11, 12]