Have a personal or library account? Click to login

An iteration process for common fixed points of two nonself asymptotically nonexpansive mappings

Open Access
|May 2013

References

  1. [1] R.P.Agarwal, Donal O’Regan and D.R. Sahu, Iterative construction of fixed points of nearly asymptotically nonexpansive mappings, J. Nonliear Convex. Anal.8(1)(2007), 61-79.
  2. [2] C.Chidume, E. U.Ofoedu, H.Zegeye, Strong and weak convergence theorems for asymptotically nonexpansive mappings, J. Math. Anal.Appl. 280 (2003), 364-374.10.1016/S0022-247X(03)00061-1
  3. [3] G. Das and J. P. Debata, Fixed points of Quasi-nonexpansive mappings, Indian J. Pure. Appl. Math., 17 (1986), 1263-1269.
  4. [4] J.G.Falset, W.Kaczor, T.Kuzumow, S.Reich, Weak convergence theorems for asymptotically nonexpansive mappings and semigroups, Nonlinear Anal.,TMA 43 (2001), 377-401.
  5. [5] H. Fukhar-ud-din and S. H. Khan, Convergence of iterates with errors of asymptotically quasi-nonexpansive mappings and applications, J. Math. Anal. Appl. 328 (2007), 821-829.10.1016/j.jmaa.2006.05.068
  6. [6] K. Goebel and W. A. Kirk, A fixed point theorem for asymptotically nonexpansive mappings, Proc. Amer. Math. Soc., 35(1) (1972), 171-174.10.1090/S0002-9939-1972-0298500-3
  7. [7] W.Kaczor, Weak convergenceof almost orbits of asymptotically nonexpansive semigroups, J. Math. Anal. Appl. 272 (2002), 565-574.10.1016/S0022-247X(02)00175-0
  8. [8] S. H. Khan and W. Takahashi, Approximating common fixed points of two asymptotically nonexpansive mappings, Sci. Math. Jpn., 53(1) (2001), 143-148.
  9. [9] Z. Opial, Weak convergence of the sequence of successive approximations for nonexpansive mappings, Bull. Amer. Math. Soc., 73 (1967), 591-597.10.1090/S0002-9904-1967-11761-0
  10. [10] J. Schu, Weak and strong convergence to fixed points of asymptotically nonexpansive mappings, Bull. Austral. Math. Soc. 43 (1991), 153-159.10.1017/S0004972700028884
  11. [11] W. Takahashi, Iterative methods for approximation of fixed points and their applications, J.Oper.Res.Soc. Jpn., 43(1) (2000), 87 -108.10.15807/jorsj.43.87
  12. [12] W. Takahashi and T. Tamura, Limit theorems of operators by convex combinations of nonexpansive retractions in Banach spaces, J.Approx.Theory, 91(3) (1997), 386 -397.10.1006/jath.1996.3093
  13. [13] L. Wang, Strong and weak convergence theorems for common fixed points of nonself asymptotically nonexpansive mappings, J. Math. Anal. Appl. 323 (2006) 550-557.10.1016/j.jmaa.2005.10.062
  14. [14] S. Thianwan, Common fixed point of new iterations for two asymptotically nonexpansive nonself-mappings in a Banach space, J. Comput. Appl. Math. 224 (2009) 688-695.10.1016/j.cam.2008.05.051
  15. [15] H. Zhou, R.P. Agarwal, Y.J.Cho, Y.S.Kim, Nonexpansive mappings and iterative methods in uniformly convex Banach spaces, Georgian Mathematical Journal, 9 (2002), No.3, 591-600.
DOI: https://doi.org/10.2478/v10309-012-0002-y | Journal eISSN: 1844-0835 | Journal ISSN: 1224-1784
Language: English
Page range: 15 - 30
Published on: May 17, 2013
Published by: Ovidius University of Constanta
In partnership with: Paradigm Publishing Services
Publication frequency: 3 times per year

© 2013 Sezgin Akbulut, published by Ovidius University of Constanta
This work is licensed under the Creative Commons License.