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Journals / Hacettepe Journal of Mathematics and Statistics / 2026 / Volume: 40 Issue: 4

Some D-Convergence Theorems in CAT(0) Spaces

Mujahid Abbas
Safeer Hussain Khan
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Publication Date
2011-04-01
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Abbas, M., Khan, S. H. (2011). Some D-Convergence Theorems in CAT(0) Spaces. Hacettepe Journal of Mathematics and Statistics, Volume: 40 Issue: 4. https://ajindex.com/articles/1403625

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References (16)

  1. Bridson, M. and Haefliger, A. Metric Spaces of Non-Positive Curvature (Springer-Verlag, Berlin, Heidelberg, 1999).
  2. Bruhat, F. and Tits, J. Groupes r´eductifs sur un corps local. I. Donn´ees radicielles valu´ees, Inst. Hautes ´Etudes Sci. Publ. Math. 41, 5–251, 1972.
  3. Burago, D., Burago, Y. and Ivanov, S. A Course in Metric Geometry, in: Graduate Studies in Math. 33, Amer. Math. Soc., Providence, RI, 2001.
  4. Das, G. and Debata, J. P. Fixed points of quasi-nonexpansive mappings, Indian J. Pure. Appl. Math. 17, 1263–1269, 1986.
  5. Dhompongsa, S., Kirk, W. A. and Panyanak, B. Nonexpansive set-valued mappings in metric and Banach spaces, J. Nonlinear Convex Anal. 8, 35–45, 2007.
  6. Dhompongsa, S., Kirk, W. A. and Sims, B. Fixed points of uniformly lipschitzian mappings, Nonlinear Anal. 65, 762–772, 2006.
  7. Dhompongsa, S. and Panyanak, B. On △-convergence theorems in CAT(0) spaces, Comput. Math. Appl. 56, 2572–2579, 2008.
  8. Fukhar-ud-din, H. and Khan, S. H. Convergence of iterates with errors of asymptotically quasi-nonexpansive mappings and applications, J. Math. Anal. Appl. 328, 821–829, 2007. [9] Goebel, K. and Reich, S. Uniform Convexity, Hyperbolic Geometry, and Nonexpansive Mappings (Marcel Dekker, Inc., New York, 1984).
  9. Gromov, M. Metric structure for Riemannian and non-Riemannian spaces, Progr. Math. 152, Birkhauser, Boston, 1984.
  10. Kirk, W. A. and Panyanak, B. A concept of convergence in geodesic spaces, Nonlinear Anal. 68, 3689–3696, 2008.
  11. Khan, S. H. and Fukhar-ud-din, H. Weak and strong convergence of a scheme with errors for two nonexpansive mappings, Nonlinear Anal. 8, 1295–1301, 2005.
  12. Khan, S. H. and Takahashi, W. Approximating common fixed points of two asymptotically nonexpansive mappings, Sci. Math. Japan 53 (1), 143–148, 2001.
  13. Lim, T. C. Remarks on some fixed point theorems, Proc. Amer. Math. Soc. 60, 179–182, 1976.
  14. Reich, S. and Shafrir, I. Nonexpansive iterations in hyperbolic space, Nonlinear Anal. 15, 537–558, 1990.
  15. Takahashi, W. Iterative methods for approximation of fixed points and their applications, J. Oper. Res. Soc. Japan. 43 (1), 87–108, 2000.
  16. Takahashi, W. and Tamura, T. Limit theorems of operators by convex combinations of nonexpansive retractions in Banach spaces, J. Approx. Theory 91 (3), 386–397, 1997.