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Convergence of modified s-iteration process for two asymptotically quasi-nonexpansive type mappings in CAT(0) spaces

Saluja G. S.

Demonstratio Mathematica

2016

Vol. 49, nr 1

107--118

The purpose of this paper is to study convergence of a newly defined modified S-iteration process to a common fixed point of two asymptotically quasi-nonexpansive type mappings in the setting of CAT(0) space. We give a sufficient condition for convergence to a common fixed point and establish some strong convergence theorems for the said iteration process and mappings under suitable conditions. Our results extend and improve many known results from the existing literature.

Convergence theorems of a family of uniformly (L, (alfa))-Lipschitz asymptotically quasi-nonexpansive type mappings

Saluja G. S.

Demonstratio Mathematica

2010

Vol. 43, nr 4

877-886

In this paper, we study the convergence of the Ishikawa iterative sequence of rank-r to common fixed points of a finite family of asymptotically quasi-nonexpansive type mappings in uniformly convex Banach spaces. Our results extend and improve some known recent results given in the literature