Journals / Hacettepe Journal of Mathematics and Statistics / 2012 / Cilt: 41 - Sayı: 6

Approximation of fixed points of asymptotically k-strict pseudo-contractions in a Banach space

Pages
831–840
Publication Date
2022-10-18
DOI
—
🏛️Bibliographic metadata and full text access for this article are provided via DergiPark.
DergiPark Record ↗
✨

AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

In this paper, weak convergence theorems of a nite family of asymp- totically k-strict pseudo-contractions are established in the framework of 2-uniformly smooth and uniformly convex Banach spaces.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this paper, weak convergence theorems of a nite family of asymp- totically k-strict pseudo-contractions are established in the framework of 2-uniformly smooth and uniformly convex Banach spaces.
📊
Key Findings & Data:In this paper, weak convergence theorems of a nite family of asymp- totically k-strict pseudo-contractions are established in the framework of 2-uniformly smooth and uniformly convex Banach spaces.
💡
Conclusion & Impact:In this paper, weak convergence theorems of a nite family of asymp- totically k-strict pseudo-contractions are established in the framework of 2-uniformly smooth and uniformly convex Banach spaces.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Abstract

In this paper, weak convergence theorems of a nite family of asymp- totically k-strict pseudo-contractions are established in the framework of 2-uniformly smooth and uniformly convex Banach spaces.

🔖

Cite This Article

WU, C. (2022). Approximation of fixed points of asymptotically k-strict pseudo-contractions in a Banach space. Hacettepe Journal of Mathematics and Statistics, Cilt: 41 - Sayı: 6, 831–840. https://ajindex.com/articles/530486

📄 Full Text PDF Viewer

📄

PDF görüntüleyici hazırlanıyor...

References (10)

  1. Acedo, G. L. and Xu. H. K. Iterative methods for strict pseudo-contractions in Hilbert sj>ace.s, Nonlinear Anal. 67, 2258-2271, 2007
  2. Browder, F. E. and Petryshyn, V. V. Construction of fixed points of nonlinear mappings in Ililbert space,.). Math. Anal. Appl. 20, 197-228. 1907
  3. Goebel, K. and Kirk. W. A. A Jixed point theorem for asymptotically nonexpansive. mappings, Proc. Amer. Math. Soc. 35, 171 174; 1972
  4. Kriippel. M. On an mutuality for nonexpansive mappings in uniformly convex Banach spaces, Rostock. Math. Kolloq. 51, 25 32, 1997
  5. Mann, W.R. Mean value methods in iteration, Proc. Amer. Math. Soc. 4. 500-510, 1953
  6. Marino, G. and Xu, H. K. Weak and strong convergence theorems for strict pseudo-contmctions in Hilbert space, J. Math. Anal. Appl. 329, 336-346, 2007
  7. Osilike, M.O. and Shehu, Y. Explicit averaging cyclic algorithm for common Jixed points oj asymptotically strictly pseudocontmctive maps, Appl. Math. Comput. 213, 548 553, 2009
  8. Osilike, M. O. and Shelıu. Y. Explicit averaging cyclic algorithm for common fixed points of a finite family of asymptotically strictly pseudocontractive maps in Banach sp_____ices, Comput. Math. Appl. 57. 1502 1510, 2009
  9. Qin. X., Oho, Y.J., Kang, S. M. and.Shang, M. A hybrid iterative scheme for asymptotically image-strict pseudo-contractions in Hilbert spates, Nonlinear Anal. 70, 1902-1911, 2009. (10) Qin, X. Approximation of a zero point of accretive operator in Banach spaces, J. Math. Anal. Appl. 329. 415 424, 2007. (11) Qihou, L. Convergence theorems of the sequence of iterates for asymptotically demicontrar-tive and hemicontraetive mappings, Nonlinear Anal. 26. 1835-1842, 1990. [12} Reich, S. Weak convergence theorems for nonexpansive mappings in Banach spaces. J. Math. Anal. Appl. 67. 274 276, 1979
  10. Tan, K.K. and Xu, H. K. Approximating fixed i>oints of nonexpansive mappings by the Ishikawaiteration process, J. Math. Anal. Appl. 178. 301 308. 1993. [14) Xu, U.K. Inequalities in Banach sjxir.es with applications, Nonlinear Anal. 16. 1127 1138, 1991.