References

Abbas, M. and T. Nazir, 2014. A new faster iteration process applied to constrained minimization and feasibility problems. Math. Writer, 66: 223-234.
Direct Link  |  

Cho, Y.J., H. Zhou and G. Guo, 2004. Weak and strong convergence theorems for three-step iterations with errors for asymptotically non-expansive mappings.Comput. Math. Appl., 47: 707-717.
Direct Link  |  

Chugh, R., M. Kumari and A. Kumar, 2014. Two-step iterative procedure for non-expansive mappings on Hadamard Manifolds. Commun. Optim. Theor., 4: 1-14.
Direct Link  |  

DoCarmo, M.P., 1992. Riemannian Geometry. Birkhauser Boston, Boston, Cambridge, ISBN9780817634902, Pages: 300.

Falset, J.G., W. Kaczor, T. Kuczumov and S. Reich, 2001. Weak convergence theorems for asymptotically nonexpansive mappings and semigroups. Nonlinear Anal. Theor. Methods Appl., 43: 377-401.
CrossRef  |  

Ferreira, O.P. and P.R. Oliveira, 2002. Proximal point algorithm on Riemannian manifolds. Optim., 51: 257-270.
Direct Link  |  

Glowinski, R. and P.L. Tallec, 1989. Augmented Lagrangian and Operator-Splitting Methods in Nonlinear Mechanics. SIAM Publishing, Philadelphia, Pennsylvania, ISBN:0-89871-230-0, Pages: 293.

Goebel, K. and S. Reich, 1984. Uniform Convexity, Hyperbolic Geometry and Non-Expansive Mappings. Marcel Dekker, New York, USA., ISBN:9780824772239, Pages: 192.

Goebel, K. and W.A. Kirk, 1990. Topics in Metric Fixed Point Theory, Vol. 28 of Cambridge Studies in Advanced Mathematics. Cambridge University Press, Cambridge, UK.,.

Halpern, B., 1967. Fixed points of non-expansive maps. Bull. Amer. Math. Soc., 73: 957-961.
Direct Link  |  

Haubruge, S., V.H. Nguyen and J.J. Strodiot, 1998. Convergence analysis and applications of the Glowinski-Le Tallec splitting method for finding a zero of the sum of two maximal monotone operators. J. Optim. Theor. Appl., 97: 645-673.
Direct Link  |  

Ishikawa, S., 1974. Fixed points by a new iteration method. Proc. Am. Math. Soc., 44: 147-150.
Direct Link  |  

Ishikawa, S., 1976. Fixed points and iteration of a non-expansive mapping in a Banach space. Proc. Am. Math. Soc., 59: 65-71.
Direct Link  |  

Khan, S.H. and N. Hussain, 2008. Convergence theorems for nonself asymptotically nonexpansive mappings. Comput. Math. Appl., 55: 2544-2553.
Direct Link  |  

Kim, T.H. and H.K. Xu, 2005. Strong convergence of modified Mann iterations. Nonlinear Anal. Theor. Method Appl., 61: 51-60.
Direct Link  |  

Kirk, W.A. and B. Sims, 2001. Handbook of Metric Fixed Point Theory. Kluwer Academic Publishers, Dordrecht, Netherlands, ISBN:0-7923-7073-2, Pages: 691.

Li, C., G. Lopez and V.M. Marquez, 2010. Iterative algorithm for non - expansive mappings on Hadamard manifolds. Taiwanese J. Math., 14: 541-559.
Direct Link  |  

Mann, W.R., 1953. Mean value methods in iteration. Proc. Am. Math. Soc., 4: 506-510.
CrossRef  |  Direct Link  |  

Noor, M.A., 2000. New approximation schemes for general variational inequalities. J. Math. Anal. Applic., 251: 217-229.
CrossRef  |  Direct Link  |  

Reich, S., 1979. Weak convergence theorems for non-expansive mappings in Banach spaces. J. Math. Anal. Appl., 67: 274-276.
Direct Link  |  

Sakai, T., 1996. Riemannian Geometry. Clarendon Press, Wotton-under-Edge, England, ISBN:9780198514923, Pages: 318.

Suantai, S., 2005. Weak and strong convergence criteria of Noor iterations for asymptotically non-expansive mappings. J. Math. Anal. Appl., 311: 506-517.
Direct Link  |  

Tan, K.K. and H.K. Xu, 1993. Approximating fixed points of nonexpansive mappings by the Ishikawa iteration process. J. Math. Anal. Appl., 178: 301-308.
Direct Link  |  

Xu, B. and M.A. Noor, 2002. Fixed-point iterations for asymptotically nonexpansive mappings in Banach spaces. J. Math. Anal. Appl., 267: 444-453.
Direct Link  |  

Xu, H.K., 2002. Iterative algorithms for nonlinear operators. J. London Math. Soc., 66: 240-256.
Direct Link  |