Strong and weak convergence of an iterative process for a finite family of multivalued mappings satisfying the condition (C)

Volume: 66 Number: 1 February 1, 2017
  • İsa Yıldırım
EN

Strong and weak convergence of an iterative process for a finite family of multivalued mappings satisfying the condition (C)

Abstract

The aim of this paper is to introduce an iterative process witherrors for a finite family of multivalued mappings satisfying the condition (C)which is weaker than non-expansiveness. We also prove some strong and weak convergence theorems for such mappings in uniformly convex Banach spaces

References

  1. A. Abkar, M. Eslamian, Fixed point theorems for Suzuki generalized nonexpansive multi- valued mappings in Banach spaces, Fixed Point Theory and Applications. 2010, Article ID 457935, 10 pp (2010).
  2. S.S. Chang, Y.K. Tang, L. W. Y.G. Xu, Y.H Zhao, G. Wang, Convergence theorems for some multi-valued generalized nonexpansive mappings, Fixed Point Theory and Applications. 2014, 2014:33.
  3. Y.J. Cho, H. Zhou, G. Gou, Weak and strong convergence theorems for three-step iterations with errors for asymptotically nonexpansive mappings, Comput. Math. Appl., 47 (2004) 707- 717.
  4. E.L. Dozo, Multivalued nonexpansive mappings and Opial’s condition, Proc. Amer. Math. Soc., 38 (1973) 286-292.
  5. M. Eslamian, A. Abkar, One- step iterative process for a …nite family of multivalued mappings, Math. Comput. Modell., 54 (2011) 105-111.
  6. M. Eslamian, S. Homaeipour, Strong convergence of three-step iterative process with erors for three multivalued mappings, arXiv.1105.2149v1 [math.FA] (2011).
  7. S. H. Khan, M Abbas, S. Ali, Fixed points of multivalued quasi-nonexpansive mappings using a faster iterative process, Acta Mathematica Sinica, English Series, July 2014, Vol. 30, Issue 7, pp1231-1241.
  8. S. H. Khan, I. Yildirim, Fixed points of multivalued nonexpansive mappings in Banach spaces, Fixed Point Theory and Applications 2012, 2012:73

Details

Primary Language

English

Subjects

-

Journal Section

-

Authors

İsa Yıldırım This is me

Publication Date

February 1, 2017

Submission Date

-

Acceptance Date

-

Published in Issue

Year 2017 Volume: 66 Number: 1

APA
Yıldırım, İ. (2017). Strong and weak convergence of an iterative process for a finite family of multivalued mappings satisfying the condition (C). Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, 66(1), 51-65. https://doi.org/10.1501/Commua1_0000000774
AMA
1.Yıldırım İ. Strong and weak convergence of an iterative process for a finite family of multivalued mappings satisfying the condition (C). Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2017;66(1):51-65. doi:10.1501/Commua1_0000000774
Chicago
Yıldırım, İsa. 2017. “Strong and Weak Convergence of an Iterative Process for a Finite Family of Multivalued Mappings Satisfying the Condition (C)”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 66 (1): 51-65. https://doi.org/10.1501/Commua1_0000000774.
EndNote
Yıldırım İ (February 1, 2017) Strong and weak convergence of an iterative process for a finite family of multivalued mappings satisfying the condition (C). Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 66 1 51–65.
IEEE
[1]İ. Yıldırım, “Strong and weak convergence of an iterative process for a finite family of multivalued mappings satisfying the condition (C)”, Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat., vol. 66, no. 1, pp. 51–65, Feb. 2017, doi: 10.1501/Commua1_0000000774.
ISNAD
Yıldırım, İsa. “Strong and Weak Convergence of an Iterative Process for a Finite Family of Multivalued Mappings Satisfying the Condition (C)”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 66/1 (February 1, 2017): 51-65. https://doi.org/10.1501/Commua1_0000000774.
JAMA
1.Yıldırım İ. Strong and weak convergence of an iterative process for a finite family of multivalued mappings satisfying the condition (C). Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2017;66:51–65.
MLA
Yıldırım, İsa. “Strong and Weak Convergence of an Iterative Process for a Finite Family of Multivalued Mappings Satisfying the Condition (C)”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, vol. 66, no. 1, Feb. 2017, pp. 51-65, doi:10.1501/Commua1_0000000774.
Vancouver
1.İsa Yıldırım. Strong and weak convergence of an iterative process for a finite family of multivalued mappings satisfying the condition (C). Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2017 Feb. 1;66(1):51-65. doi:10.1501/Commua1_0000000774

Cited By

Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.