Weak and strong convergence theorems of a multistep iteration to a common fixed point of a family of nonself asymptotically nonexpansive mappings in banach spaces
-
Shrabani Banerjee
banerjee.shrabani@yahoo.com
-
Binayak S. Choudhury
binayak12@yahoo.co.in
Downloads
DOI:
https://doi.org/10.4067/S0719-06462012000300010Abstract
In this paper we have defined a multistep iterative scheme with errors involving a family of asymptotically nonexpansive nonself mappings in Banach spaces. A retraction has been used in the construction of the iteration. We prove here weak and strong convergences of the iteration to common fixed points of the family of asymptotically nonexpansive nonself mappings. We have used several concepts of Banach space geometry. Our results improve and extend some recent results.
Keywords
Most read articles by the same author(s)
- Binayak S. Choudhury, Nikhilesh Metiya, Sunirmal Kundu, Existence, well-posedness of coupled fixed points and application to nonlinear integral equations , CUBO, A Mathematical Journal: Vol. 23 No. 1 (2021)
Similar Articles
- Laurent Amour, Benoit Grébert, Jean-Claude Guillot, A mathematical model for the Fermi weak interactions , CUBO, A Mathematical Journal: Vol. 9 No. 2 (2007): CUBO, A Mathematical Journal
- George A. Anastassiou, Multiple general sigmoids based Banach space valued neural network multivariate approximation , CUBO, A Mathematical Journal: Vol. 25 No. 3 (2023)
- Daciberg L. Gonçalves, Nielsen Fixed Point Theory , CUBO, A Mathematical Journal: Vol. 3 No. 1 (2001): CUBO, Matemática Educacional
- Ganga Ram Gautam, Sandra Pinelas, Manoj Kumar, Namrata Arya, Jaimala Bishnoi, On the solution of \(\mathcal{T}-\)controllable abstract fractional differential equations with impulsive effects , CUBO, A Mathematical Journal: Vol. 25 No. 3 (2023)
- Saleh S. Almuthaybiri, Jagan Mohan Jonnalagadda, Christopher C. Tisdell, Existence and uniqueness of solutions to discrete, third-order three-point boundary value problems , CUBO, A Mathematical Journal: Vol. 23 No. 3 (2021)
- Ronald Grimmer, Min He, Fixed Point Theory and Nonlinear Periodic Systems , CUBO, A Mathematical Journal: Vol. 11 No. 3 (2009): CUBO, A Mathematical Journal
- Erika Griechisch, Some Theoretical Issues Concerning Hamming Coding , CUBO, A Mathematical Journal: Vol. 11 No. 2 (2009): CUBO, A Mathematical Journal
- Richard Delanghe, On homogeneous polynomial solutions of generalized Moisil-Théodoresco systems in Euclidean space , CUBO, A Mathematical Journal: Vol. 12 No. 2 (2010): CUBO, A Mathematical Journal
- Hamed M. Obiedat, A Topological Characterization of the Beurling-Björck Space ð”–𜔠Using the Short-Time Fourier Transform , CUBO, A Mathematical Journal: Vol. 8 No. 2 (2006): CUBO, A Mathematical Journal
- Nicolas Raymond, Uniform spectral estimates for families of Schrödinger operators with magnetic field of constant intensity and applications , CUBO, A Mathematical Journal: Vol. 12 No. 1 (2010): CUBO, A Mathematical Journal
<< < 8 9 10 11 12 13 14 15 16 17 18 19 > >>
You may also start an advanced similarity search for this article.
Downloads
Download data is not yet available.
Published
2012-10-01
How to Cite
[1]
S. Banerjee and B. S. Choudhury, “Weak and strong convergence theorems of a multistep iteration to a common fixed point of a family of nonself asymptotically nonexpansive mappings in banach spaces”, CUBO, vol. 14, no. 3, pp. 143–166, Oct. 2012.
Issue
Section
Articles
