BibTex RIS Kaynak Göster

Some D-Convergence Theorems in CAT(0) Spaces

Yıl 2011, Cilt: 40 Sayı: 4, 563 - 569, 01.04.2011

Kaynakça

  • Bridson, M. and Haefliger, A. Metric Spaces of Non-Positive Curvature (Springer-Verlag, Berlin, Heidelberg, 1999).
  • 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.
  • Burago, D., Burago, Y. and Ivanov, S. A Course in Metric Geometry, in: Graduate Studies in Math. 33, Amer. Math. Soc., Providence, RI, 2001.
  • Das, G. and Debata, J. P. Fixed points of quasi-nonexpansive mappings, Indian J. Pure. Appl. Math. 17, 1263–1269, 1986.
  • 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.
  • Dhompongsa, S., Kirk, W. A. and Sims, B. Fixed points of uniformly lipschitzian mappings, Nonlinear Anal. 65, 762–772, 2006.
  • Dhompongsa, S. and Panyanak, B. On △-convergence theorems in CAT(0) spaces, Comput. Math. Appl. 56, 2572–2579, 2008.
  • 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).
  • Gromov, M. Metric structure for Riemannian and non-Riemannian spaces, Progr. Math. 152, Birkhauser, Boston, 1984.
  • Kirk, W. A. and Panyanak, B. A concept of convergence in geodesic spaces, Nonlinear Anal. 68, 3689–3696, 2008.
  • 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.
  • Khan, S. H. and Takahashi, W. Approximating common fixed points of two asymptotically nonexpansive mappings, Sci. Math. Japan 53 (1), 143–148, 2001.
  • Lim, T. C. Remarks on some fixed point theorems, Proc. Amer. Math. Soc. 60, 179–182, 1976.
  • Reich, S. and Shafrir, I. Nonexpansive iterations in hyperbolic space, Nonlinear Anal. 15, 537–558, 1990.
  • Takahashi, W. Iterative methods for approximation of fixed points and their applications, J. Oper. Res. Soc. Japan. 43 (1), 87–108, 2000.
  • 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.

Some D-Convergence Theorems in CAT(0) Spaces

Yıl 2011, Cilt: 40 Sayı: 4, 563 - 569, 01.04.2011

Kaynakça

  • Bridson, M. and Haefliger, A. Metric Spaces of Non-Positive Curvature (Springer-Verlag, Berlin, Heidelberg, 1999).
  • 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.
  • Burago, D., Burago, Y. and Ivanov, S. A Course in Metric Geometry, in: Graduate Studies in Math. 33, Amer. Math. Soc., Providence, RI, 2001.
  • Das, G. and Debata, J. P. Fixed points of quasi-nonexpansive mappings, Indian J. Pure. Appl. Math. 17, 1263–1269, 1986.
  • 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.
  • Dhompongsa, S., Kirk, W. A. and Sims, B. Fixed points of uniformly lipschitzian mappings, Nonlinear Anal. 65, 762–772, 2006.
  • Dhompongsa, S. and Panyanak, B. On △-convergence theorems in CAT(0) spaces, Comput. Math. Appl. 56, 2572–2579, 2008.
  • 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).
  • Gromov, M. Metric structure for Riemannian and non-Riemannian spaces, Progr. Math. 152, Birkhauser, Boston, 1984.
  • Kirk, W. A. and Panyanak, B. A concept of convergence in geodesic spaces, Nonlinear Anal. 68, 3689–3696, 2008.
  • 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.
  • Khan, S. H. and Takahashi, W. Approximating common fixed points of two asymptotically nonexpansive mappings, Sci. Math. Japan 53 (1), 143–148, 2001.
  • Lim, T. C. Remarks on some fixed point theorems, Proc. Amer. Math. Soc. 60, 179–182, 1976.
  • Reich, S. and Shafrir, I. Nonexpansive iterations in hyperbolic space, Nonlinear Anal. 15, 537–558, 1990.
  • Takahashi, W. Iterative methods for approximation of fixed points and their applications, J. Oper. Res. Soc. Japan. 43 (1), 87–108, 2000.
  • 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.
Toplam 16 adet kaynakça vardır.

Ayrıntılar

Birincil Dil Türkçe
Bölüm Matematik
Yazarlar

Mujahid Abbas Bu kişi benim

Safeer Hussain Khan Bu kişi benim

Yayımlanma Tarihi 1 Nisan 2011
Yayımlandığı Sayı Yıl 2011 Cilt: 40 Sayı: 4

Kaynak Göster

APA Abbas, M., & Khan, S. H. (2011). Some D-Convergence Theorems in CAT(0) Spaces. Hacettepe Journal of Mathematics and Statistics, 40(4), 563-569.
AMA Abbas M, Khan SH. Some D-Convergence Theorems in CAT(0) Spaces. Hacettepe Journal of Mathematics and Statistics. Nisan 2011;40(4):563-569.
Chicago Abbas, Mujahid, ve Safeer Hussain Khan. “Some D-Convergence Theorems in CAT(0) Spaces”. Hacettepe Journal of Mathematics and Statistics 40, sy. 4 (Nisan 2011): 563-69.
EndNote Abbas M, Khan SH (01 Nisan 2011) Some D-Convergence Theorems in CAT(0) Spaces. Hacettepe Journal of Mathematics and Statistics 40 4 563–569.
IEEE M. Abbas ve S. H. Khan, “Some D-Convergence Theorems in CAT(0) Spaces”, Hacettepe Journal of Mathematics and Statistics, c. 40, sy. 4, ss. 563–569, 2011.
ISNAD Abbas, Mujahid - Khan, Safeer Hussain. “Some D-Convergence Theorems in CAT(0) Spaces”. Hacettepe Journal of Mathematics and Statistics 40/4 (Nisan 2011), 563-569.
JAMA Abbas M, Khan SH. Some D-Convergence Theorems in CAT(0) Spaces. Hacettepe Journal of Mathematics and Statistics. 2011;40:563–569.
MLA Abbas, Mujahid ve Safeer Hussain Khan. “Some D-Convergence Theorems in CAT(0) Spaces”. Hacettepe Journal of Mathematics and Statistics, c. 40, sy. 4, 2011, ss. 563-9.
Vancouver Abbas M, Khan SH. Some D-Convergence Theorems in CAT(0) Spaces. Hacettepe Journal of Mathematics and Statistics. 2011;40(4):563-9.