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This paper is a continuation to the study of generalized quasi contractiveoperators, essentially due to Akhtar et al. [A multi-step implicit iterativeprocess for common fixed points of generalized C^{q}-operators in convex metricspaces, Sci. Int., 25(4) (2013), 887-891], in spaces of nonpositive sectionalcurvature. We aim to establish results concerning convergence characteristicsof the classical iterative algorithms such as Picard, Mann, Ishikawa andXu-Noor iterative algorithms associated with the proposed class of generalizedquasi contractive operators. Moreover, we adopt the concept introduced byBerinde [Comparing Krasnosel'skii and Mann iterative methods for Lipschitziangeneralized pseudo-contractions, Int. Conference on Fixed Point Theory Appl.,15-26, Yokohama Publ., Yokohama, 2004.] for a comparison of the correspondingrates of convergence of these iterative algorithms in such setting of spaces.The results presented in this paper improve and extend some recentcorresponding results in the literature.

Rates of convergence for a class of generalized quasi contractive mappings in Kohlenbach hyperbolic spaces