CONVERGENCE OF THE PICARD-MANN HYBRID ITERATION IN CONVEX CONE METRIC SPACES

Cilt: 1 Sayı: 2 1 Haziran 2018
Süheyla Elmas
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CONVERGENCE OF THE PICARD-MANN HYBRID ITERATION IN CONVEX CONE METRIC SPACES

Öz

In this study we try to show convergence of the Picard-Mann hybrid Iteration in convex cone metric spaces for common fixed points of infinite families of uniformly quasi-Lipschitzian mappings and quasi-nonexpansive mappings. A convex cone mtric space is a cone metric space with a convex structure

Anahtar Kelimeler

convex metric space,convex structure,convex cone metric spaces,PicardMann hybrid iteration

Kaynakça

  1. W. Takahashi, A convexity in metric space and nonexpansive mappings, Kodai. Math. Sem.Rep. 22 (1970) 142-149.
  2. Y. X. Tian, Convergence of an Ishikawa type iterative scheme for asymptotically quasi- nonexpansive mappings, Comput. Math. Appl. 49 (2005) 1905-1912.
  3. C. Wang, L. W. Liu, Convergence theorems for fixed points of uniformly uniformly quasi- Lipschitzian mappings in convex metric spaces, Nonlinear Anal. TMA 70 (2009) 2067-2091.
  4. S.S. Chang, L. Yang, X. R. Wang, Stronger convergence theorems for an infinite family of uniformly quasi-Lipschitzian mappings in convex metric spaces, Appl. Math. Comp. 217 (2010) 277-282.
  5. Q. Y. Liu, Z. B. Liu, N. J. Huang, Approximating the common fixed points of two sequences of uniformly quasi-Lipschitzian mappings in convex metric spaces, Appl. Math. Comp. 216 (2010) 883-889.
  6. B. S. Lee, Strong convergence theorems with a Noor-type iterative scheme in convex metric spaces, Com. Math. Appl. 61 (2011) 3218-3225.
  7. Q. H. Liu, Iterative sequences for asymptotically quasi-nonexpansive mappings with errors number, J. Math. Anal. Appl. 259 (2001) 18-24.
  8. S. H. Khan, A Picard-Mann hybrid iterative process, Fixed Point Theory and Applications, Open acces, doi:10.1186/1687-1812-2013, 69.
  9. L.-G. Huang and X. Zhang, Cone metric spaces and fixed point theorems of contractive mappings, J. Math. Anal. Appl. 332 (2007) 1468-1476.
  10. S. Elmas and M. Ozdemir, Convergence of a general iterative scheme for three families of uniformly quasi-Lipschitzian mappings in convex metric spaces, Advances in Fixed Point Theory 3 (2013) 406-417.

Kaynak Göster

APA
Elmas, S. (2018). CONVERGENCE OF THE PICARD-MANN HYBRID ITERATION IN CONVEX CONE METRIC SPACES. Journal of Advanced Mathematics and Mathematics Education, 1(2), 1-5. https://izlik.org/JA32NH39DR
AMA
1.Elmas S. CONVERGENCE OF THE PICARD-MANN HYBRID ITERATION IN CONVEX CONE METRIC SPACES. Journal of Advanced Mathematics and Mathematics Education. 2018;1(2):1-5. https://izlik.org/JA32NH39DR
Chicago
Elmas, Süheyla. 2018. “CONVERGENCE OF THE PICARD-MANN HYBRID ITERATION IN CONVEX CONE METRIC SPACES”. Journal of Advanced Mathematics and Mathematics Education 1 (2): 1-5. https://izlik.org/JA32NH39DR.
EndNote
Elmas S (01 Haziran 2018) CONVERGENCE OF THE PICARD-MANN HYBRID ITERATION IN CONVEX CONE METRIC SPACES. Journal of Advanced Mathematics and Mathematics Education 1 2 1–5.
IEEE
[1]S. Elmas, “CONVERGENCE OF THE PICARD-MANN HYBRID ITERATION IN CONVEX CONE METRIC SPACES”, Journal of Advanced Mathematics and Mathematics Education, c. 1, sy 2, ss. 1–5, Haz. 2018, [çevrimiçi]. Erişim adresi: https://izlik.org/JA32NH39DR
ISNAD
Elmas, Süheyla. “CONVERGENCE OF THE PICARD-MANN HYBRID ITERATION IN CONVEX CONE METRIC SPACES”. Journal of Advanced Mathematics and Mathematics Education 1/2 (01 Haziran 2018): 1-5. https://izlik.org/JA32NH39DR.
JAMA
1.Elmas S. CONVERGENCE OF THE PICARD-MANN HYBRID ITERATION IN CONVEX CONE METRIC SPACES. Journal of Advanced Mathematics and Mathematics Education. 2018;1:1–5.
MLA
Elmas, Süheyla. “CONVERGENCE OF THE PICARD-MANN HYBRID ITERATION IN CONVEX CONE METRIC SPACES”. Journal of Advanced Mathematics and Mathematics Education, c. 1, sy 2, Haziran 2018, ss. 1-5, https://izlik.org/JA32NH39DR.
Vancouver
1.Süheyla Elmas. CONVERGENCE OF THE PICARD-MANN HYBRID ITERATION IN CONVEX CONE METRIC SPACES. Journal of Advanced Mathematics and Mathematics Education [Internet]. 01 Haziran 2018;1(2):1-5. Erişim adresi: https://izlik.org/JA32NH39DR