Araştırma Makalesi
BibTex RIS Kaynak Göster

APPROXIMATION OF FIXED POINTS OF ASYMPTOTICALLY κ-STRICT PSEUDOCONTRACTIONS IN A BANACH SPACE

Yıl 2012, Cilt: 41 Sayı: 6, 831 - 840, 01.06.2012

Öz

Kaynakça

  • Acedo, G. L. and Xu, H. K. Iterative methods for strict pseudo-contractions in Hilbert spaces, Nonlinear Anal. 67, 2258–2271, 2007.
  • Browder, F. E. and Petryshyn, W. V. Construction of fixed points of nonlinear mappings in Hilbert space, J. Math. Anal. Appl. 20, 197–228, 1967.
  • Goebel, K. and Kirk, W. A. A fixed point theorem for asymptotically nonexpansive mappings, Proc. Amer. Math. Soc. 35, 171–174, 1972.
  • Kr¨uppel, M. On an inequality for nonexpansive mappings in uniformly convex Banach spaces, Rostock. Math. Kolloq. 51, 25–32, 1997.
  • Mann, W.R. Mean value methods in iteration, Proc. Amer. Math. Soc. 4, 506–510, 1953.
  • Marino, G. and Xu, H. K. Weak and strong convergence theorems for strict pseudo- contractions in Hilbert space, J. Math. Anal. Appl. 329, 336–346, 2007.
  • Osilike, M. O. and Shehu, Y. Explicit averaging cyclic algorithm for common fixed points of asymptotically strictly pseudocontractive maps, Appl. Math. Comput. 213, 548–553, 2009. [8] Osilike, M. O. and Shehu, Y. Explicit averaging cyclic algorithm for common fixed points of a finite family of asymptotically strictly pseudocontractive maps in Banach spaces, Comput. Math. Appl. 57, 1502–1510, 2009.
  • Qin, X., Cho, Y. J., Kang, S. M. and Shang, M. A hybrid iterative scheme for asymptotically image-strict pseudo-contractions in Hilbert spaces, Nonlinear Anal. 70, 1902–1911, 2009.
  • 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 demicontrac- tive and hemicontractive mappings, Nonlinear Anal. 26, 1835–1842, 1996.
  • Reich, S. Weak convergence theorems for nonexpansive mappings in Banach spaces, J. Math. Anal. Appl. 67, 274–276, 1979.
  • Tan, K. K. and Xu, H. K. Approximating fixed points of nonexpansive mappings by the Ishikawaiteration process, J. Math. Anal. Appl. 178, 301–308, 1993.
  • Xu, H. K. Inequalities in Banach spaces with applications, Nonlinear Anal. 16, 1127–1138, 1991.

APPROXIMATION OF FIXED POINTS OF ASYMPTOTICALLY κ-STRICT PSEUDOCONTRACTIONS IN A BANACH SPACE

Yıl 2012, Cilt: 41 Sayı: 6, 831 - 840, 01.06.2012

Öz

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

Kaynakça

  • Acedo, G. L. and Xu, H. K. Iterative methods for strict pseudo-contractions in Hilbert spaces, Nonlinear Anal. 67, 2258–2271, 2007.
  • Browder, F. E. and Petryshyn, W. V. Construction of fixed points of nonlinear mappings in Hilbert space, J. Math. Anal. Appl. 20, 197–228, 1967.
  • Goebel, K. and Kirk, W. A. A fixed point theorem for asymptotically nonexpansive mappings, Proc. Amer. Math. Soc. 35, 171–174, 1972.
  • Kr¨uppel, M. On an inequality for nonexpansive mappings in uniformly convex Banach spaces, Rostock. Math. Kolloq. 51, 25–32, 1997.
  • Mann, W.R. Mean value methods in iteration, Proc. Amer. Math. Soc. 4, 506–510, 1953.
  • Marino, G. and Xu, H. K. Weak and strong convergence theorems for strict pseudo- contractions in Hilbert space, J. Math. Anal. Appl. 329, 336–346, 2007.
  • Osilike, M. O. and Shehu, Y. Explicit averaging cyclic algorithm for common fixed points of asymptotically strictly pseudocontractive maps, Appl. Math. Comput. 213, 548–553, 2009. [8] Osilike, M. O. and Shehu, Y. Explicit averaging cyclic algorithm for common fixed points of a finite family of asymptotically strictly pseudocontractive maps in Banach spaces, Comput. Math. Appl. 57, 1502–1510, 2009.
  • Qin, X., Cho, Y. J., Kang, S. M. and Shang, M. A hybrid iterative scheme for asymptotically image-strict pseudo-contractions in Hilbert spaces, Nonlinear Anal. 70, 1902–1911, 2009.
  • 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 demicontrac- tive and hemicontractive mappings, Nonlinear Anal. 26, 1835–1842, 1996.
  • Reich, S. Weak convergence theorems for nonexpansive mappings in Banach spaces, J. Math. Anal. Appl. 67, 274–276, 1979.
  • Tan, K. K. and Xu, H. K. Approximating fixed points of nonexpansive mappings by the Ishikawaiteration process, J. Math. Anal. Appl. 178, 301–308, 1993.
  • Xu, H. K. Inequalities in Banach spaces with applications, Nonlinear Anal. 16, 1127–1138, 1991.
Toplam 12 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Konular İstatistik
Bölüm Matematik
Yazarlar

Changqun Wu Bu kişi benim

Yayımlanma Tarihi 1 Haziran 2012
Yayımlandığı Sayı Yıl 2012 Cilt: 41 Sayı: 6

Kaynak Göster

APA Wu, C. (2012). APPROXIMATION OF FIXED POINTS OF ASYMPTOTICALLY κ-STRICT PSEUDOCONTRACTIONS IN A BANACH SPACE. Hacettepe Journal of Mathematics and Statistics, 41(6), 831-840.
AMA Wu C. APPROXIMATION OF FIXED POINTS OF ASYMPTOTICALLY κ-STRICT PSEUDOCONTRACTIONS IN A BANACH SPACE. Hacettepe Journal of Mathematics and Statistics. Haziran 2012;41(6):831-840.
Chicago Wu, Changqun. “APPROXIMATION OF FIXED POINTS OF ASYMPTOTICALLY κ-STRICT PSEUDOCONTRACTIONS IN A BANACH SPACE”. Hacettepe Journal of Mathematics and Statistics 41, sy. 6 (Haziran 2012): 831-40.
EndNote Wu C (01 Haziran 2012) APPROXIMATION OF FIXED POINTS OF ASYMPTOTICALLY κ-STRICT PSEUDOCONTRACTIONS IN A BANACH SPACE. Hacettepe Journal of Mathematics and Statistics 41 6 831–840.
IEEE C. Wu, “APPROXIMATION OF FIXED POINTS OF ASYMPTOTICALLY κ-STRICT PSEUDOCONTRACTIONS IN A BANACH SPACE”, Hacettepe Journal of Mathematics and Statistics, c. 41, sy. 6, ss. 831–840, 2012.
ISNAD Wu, Changqun. “APPROXIMATION OF FIXED POINTS OF ASYMPTOTICALLY κ-STRICT PSEUDOCONTRACTIONS IN A BANACH SPACE”. Hacettepe Journal of Mathematics and Statistics 41/6 (Haziran 2012), 831-840.
JAMA Wu C. APPROXIMATION OF FIXED POINTS OF ASYMPTOTICALLY κ-STRICT PSEUDOCONTRACTIONS IN A BANACH SPACE. Hacettepe Journal of Mathematics and Statistics. 2012;41:831–840.
MLA Wu, Changqun. “APPROXIMATION OF FIXED POINTS OF ASYMPTOTICALLY κ-STRICT PSEUDOCONTRACTIONS IN A BANACH SPACE”. Hacettepe Journal of Mathematics and Statistics, c. 41, sy. 6, 2012, ss. 831-40.
Vancouver Wu C. APPROXIMATION OF FIXED POINTS OF ASYMPTOTICALLY κ-STRICT PSEUDOCONTRACTIONS IN A BANACH SPACE. Hacettepe Journal of Mathematics and Statistics. 2012;41(6):831-40.