[1] M. Abbas and T. Nazir, A new faster iteration process applied to constrained minimization and feasibility problems, Matematicki Vesnik 66 (2014) 223–234.
[2] R. Agarwal, D. O’Regan and D.R. Sahu, Iterative construction of fixed points of nearly asymptotically nonexpansive mappings, Journal of Nonlinear and Convex Analysis 8 (2007) 61–79.
[3] S. Akbulut and M. Ozdemir, Picard iteration converges faster than Noor iteration for a class of quasi-contractive operators, Chiang Mai J.Sci. 39 (2012) 688–692.
[4] V. Berinde, Picard iteration converges faster than Man iteration for a class of quasi-contractive operators, Fixed Point Theory Appl. 2014 (2004):1.
[5] M.R. Bridson and A. Haefliger, Metric Spaces of Non-Positive Curvature, Springer-Verlag, Berlin, Heidelberg, New York, 1999.
[6] H. Fukhar-ud-din and V. Berinde, Iterative methods for the class of quasi-contractive type operators and comparsion of their rate of convergence in convex metric spaces, Filomat 30 (2016) 223–230.
[7] K. Goebel and W. Kirk, Iteration processes for nonexpansive mappings, Topological Methods in Nonlinear Functional Analysis, Contemporary Mathematics 21, Amer. Math. Soc. Providence (1983), 115–123.
[8] F. Gursoy and V.Karakaya, A Picard-S hybrid type iteration method for solving a differential equation with retarded argument, http://arxiv.org/abs/1403.2546
[9] H.V. Machado, A characterization of convex subsets of normed spaces, Kodai Math. Sem. Rep. 25 (1973) 307–320.
[10] R. Chugh, P.Malik and V.Kumar, On a new faster implicit fixed point iterative scheme in convex metric spaces, J. Function Spaces (2015), Article ID 905834.
[11] W. Phuengrattana and S. Suantai, Comparison of the rate of convergence of various iterative methods for the class of weak contractions in Banach Spaces, Thai J. Math. 11 (2013) 217–226.
[12] S. Reich and I. Safrir, Nonexpansive iteration in hyperbolic spaces, Nonlinear. Anal. 15 (1990) 537–558.
[13] W. Sintunavarat and A. Pitea, On a new iteration scheme for numerical reckoning fixed points of Berinde mappings with convergence analysis, J. Nonlinear Science Appl. 9 (2016) 2553–2562.
[14] S. Suantai, Weak and strong convergence criteria of Noor iterations for asymptotically nonexpansive mappings, J. Math. Anal. Appl. 311 (2005) 506–517.
[15] W. Takahashi, A convexity in metric spaces and nonexpansive mappings, Kodai Math. Sem. Rep. 22 (1970) 142–149.
[16] L.A. Talman, Fixed points for condensing multifunctions in metric spaces with convex structure, Kodai Math. Sem. Rep. 29 (1977) 62–70.
[17] T. Zamfirescu, Fixed point theorems in metric spaces, Arch. Math. (Basel), 23 (1972) 292–298.
