Acknowledgement
The authors are thankful to the referees for careful reading and the useful comments and suggestions.
References
- M. Bachar and M. A. Khamsi, Approximations of fixed points in the Hadamard metric space CATp(0), Mathematics, 7(2019), 1-10.
- M. Bridson and A. Haefliger, Metric Spaces of Non-Positive Curvature, Springer-Verlag, Berlin(1999).
- F. E. Browder, Nonexpansive nonlinear operators in a Banach space, Proc. Natl. Acad. Sci. USA, 54(1965), 1041-1044. https://doi.org/10.1073/pnas.54.4.1041
- F. Bruhat and J. Tits, Groupes reductifs sur un corps local. I. Donnees radicielles valuees, Inst. Hautes Etudes Sci. Publ. Math., 41(1972), 5-251. https://doi.org/10.1007/BF02715544
- K. Calderon, M. A. Khamsi and J. Martinez-Moreno, Perturbed approximations of fixed points of nonexpansive mappings in CATp(0) spaces, Carpathian J., 37(2021), 65-79. https://doi.org/10.37193/CJM.2021.01.07
- K. Goebel and W. A. Kirk, A fixed point theorem for asymptotically nonexpansive mappings, Proc. Amer. Math. Soc., 35(1972), 171-174. https://doi.org/10.1090/S0002-9939-1972-0298500-3
- K. Goebel and S. Reich, Uniform Convexity, Hyperbolic Geometry, and Nonexpansive Mappings, Marcel Dekker, New York(1984).
- D. Gohde, Zum Prinzip der kontraktiven Abbildung, Math. Nachr., 30(1965), 251-258. https://doi.org/10.1002/mana.19650300312
- M. A. Khamsi and S. Shukri, Generalized CAT(0) spaces, Bull. Belg. Math. Soc. Simon Stevin, 24(2017), 417-426.
- W. A. Kirk, Geodesic geometry and fixed point theory II, in: International Conference on Fixed Point Theory and Applications (Valencia, 2003), J. Garcya-Falset et al. (ed.), Yokohama Publ., Yokohama, (2004), 113-142.
- B. Panyanak, On total asymptotically nonexpansive mappings in CAT(κ) spaces, J. Inequal. Appl., 336(2014), 13pp.
- W. Phuengrattana and S. Suantai, Existence theorems for generalized asymptotically nonexpansive mappings in uniformly convex metric spaces, J. Convex Anal., 20(2013), 753-761. https://doi.org/10.1186/1687-1812-2013-188
- S. Saejung, S. Suantai and P. Yotkaew, A note on "Common fixed point of multistep Noor iteration with Errors for a finite family of generalized asymptotically quasi-nonexpansive mappings", Abstract and Applied Analysis, vol. 2009, Article ID 283461, 9 pages.
- H. F. Senter and W. G. Dotson, Approximating fixed points of nonexpansive mappings, Proc. Amer. Math. Soc., 44(1974), 375-380. https://doi.org/10.1090/S0002-9939-1974-0346608-8
- N. Shahzad and H. Zegeye, Strong convergence of an implicit iteration process for a finite family of generalized asymptotically quasi-nonexpansive maps, Appl. Math. Comput., 189(2007), 1058-1065.
- S. Thianwan, Common fixed points of new iterations for two asymptotically nonexpansive nonself mappings in a Banach space, J. Comput. Appl. Math., 224(2009), 688-695. https://doi.org/10.1016/j.cam.2008.05.051
- J. Tits, A Theorem of Lie-Kolchin for Trees, Contributions to Algebra: A Collection of Papers Dedicated to Ellis Kolchin, Academic Press, New York(1977).
- H. K. Xu, Another control condition in an iterative method for nonexpansive mappings, Bull. Austral. Math. Soc., 65(1993), 109-113. https://doi.org/10.1017/S0004972700020116