과제정보
Khairul Saleh (H. Fukhar-ud-din) is grateful to King Fahd University of Petroleum & Minerals for supporting the research (research project IN141047).
참고문헌
- Chidume, C., Ofoedu, E.U., Zegeye, H., Strong and weak convergence theorems for asymptotically nonexpansive mappings, J. Math. Anal. Appl. 280 (2003), 364-374. https://doi.org/10.1016/S0022-247X(03)00061-1
- Fukhar-ud-din, H., Existence and approximation of fixed points in convex metric spaces, Carpathian J. Math. 30 (2014), 175-185. https://doi.org/10.37193/CJM.2014.02.11
- Fukhar-ud-din, H., Fixed point iterations in hyperbolic spaces, J Nonlinear Convex Anal., 2016. To appear.
- Fukhar-ud-din, H., One step iteratiove scheme for a pair of nonexpansive mappings in a convex metric space, Hacet. J. Math. Stat. 44 (5) (2015), 1023-1031.
- Fukhar-ud-din, H. Khamsi M.A. and Khan, A.R. Viscosity Iterative Method for a Finite Family of Generalized Asymptotically Quasi-nonexpansive Mappings in Convex Metric Spaces, J. Nonlinear Convex Anal., 16 (2015), 47-58.
- Ishikawa, S., Fixed points by a new iteration method, Proc. Amer. Math. Soc. 44 (1974), 147-150. https://doi.org/10.1090/S0002-9939-1974-0336469-5
- Khan, S. H., Convergence of a one-step iteration scheme for quasi-asymptotically nonexpansive mappings, World Academy of Science, Engineering and Technology 63 (2012), 504-506.
- Kirk, W. and Panyanak, B., A concept of convergence in geodesic spaces, Nonlinear Anal. 68 (2008), 3689-3696. https://doi.org/10.1016/j.na.2007.04.011
- Khan, A.R., Khamsi, M.A. and Fukhar-ud-din, H., Strong convergence of a general iteration scheme in CAT(0)-spaces, Nonlinear Anal. 74 (2011), 783-791. https://doi.org/10.1016/j.na.2010.09.029
- Khan, S.H. and Takahashi, W., Approximating common fixed points of two asymptotically nonexpansive mappings, Sci. Math. Japon. 53 (2001), 133-138.
- Kohlenbach, U., Some logical metatheorems with applications in functional analysis, Trans. Amer. Math. Soc. 357 (2005), 89-128. https://doi.org/10.1090/S0002-9947-04-03515-9
- Mann, W.R., Mean value methods in iteration, Proc. Amer. Math. Soc. 4 (1953), 506-610. https://doi.org/10.1090/S0002-9939-1953-0054846-3
- Shimizu,T. and Takahashi, W. Fixed points of multivalued mappings in certain convex metric spaces, Topol. Methods Nonlinear Anal. 8 (1) (1996), 197-203. https://doi.org/10.12775/TMNA.1996.028
- Tan, K.K. and Xu, H.K. Approximating fixed points of nonexpansive mappings by the Ishikawa iteration process, J. Math. Anal. Appl. 178 (1993), 301-308. https://doi.org/10.1006/jmaa.1993.1309