Dergiler / Hacettepe Journal of Mathematics and Statistics / 2011 / Cilt: 40 - Sayı: 4

Some $Delta$-convergence theorems in CAT(0) spaces

Sayfa
563–569
Yayın Tarihi
2022-10-18
DOI
—
🏛️Bu makalenin bibliyografik verileri ve tam metin bağlantısı DergiPark üzerinden sağlanmıştır.
DergiPark Kaydı ↗
✨

Yapay Zeka Hızlı Bakış & Çıkarımlar

AI Insight
⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

This process is independent of and simpler than the Ishikawa type iteration process.

📌 3 Maddede Bu Makale

🎯
Amaç & Hipotez:In this paper, we use an iteration process for approximating common fixed points of two nonexpansive mappings by △- and strong conver- gence in CAT(0) spaces.
📊
Temel Bulgular & Veri:In this paper, we use an iteration process for approximating common fixed points of two nonexpansive mappings by △- and strong conver- gence in CAT(0) spaces.
💡
Sonuç & Katkı:This process is independent of and simpler than the Ishikawa type iteration process.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Alan Parametreleri

Abstract

In this paper, we use an iteration process for approximating common fixed points of two nonexpansive mappings by △- and strong conver- gence in CAT(0) spaces. This process is independent of and simpler than the Ishikawa type iteration process.

🔖

Bu Makaleye Atıf Yap

ABBAS, M., KHAN, S. H. (2022). Some $Delta$-convergence theorems in CAT(0) spaces. Hacettepe Journal of Mathematics and Statistics, Cilt: 40 - Sayı: 4, 563–569. https://ajindex.com/articles/530585

📄 Tam Metin PDF Okuyucu

📄

PDF görüntüleyici hazırlanıyor...

Kaynakça (17)

  1. Bridson, M. and Haefliger, A. Metric Spaces of Non-Positive Curvature (Springer-Verlag, Berlin, Heidelberg, 1999)
  2. Bruhat, F. and Tits, J. Groupes reductifs sur un corps local. I. Donnees radicielles valuees, 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)
  10. Gromov, M. Metric structure for Riemannian and non-Riemannian spaces, Progr. Math. 152, Birkhauser, Boston, 1984
  11. Kirk, W.A. and Panyanak, B. A concept of convergence in geodesic spaces, Nonlinear Anal. 68, 3689–3696, 2008
  12. 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
  13. Khan, S.H. and Takahashi, W. Approximating common fixed points of two asymptotically nonexpansive mappings, Sci. Math. Japan 53 (1), 143–148, 2001
  14. Lim, T.C. Remarks on some fixed point theorems, Proc. Amer. Math. Soc. 60, 179–182, 1976
  15. Reich, S. and Shafrir, I. Nonexpansive iterations in hyperbolic space, Nonlinear Anal. 15, 537–558, 1990
  16. Takahashi, W. Iterative methods for approximation of fixed points and their applications, J. Oper. Res. Soc. Japan. 43 (1), 87–108, 2000
  17. 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.