Viscosity approximation methods with a sequence of contractions
-
Koji Aoyama
aoyama@le.chiba-u.ac.jp
-
Yasunori Kimura
yasunori@is.sci.toho-u.ac.jp
Downloads
DOI:
https://doi.org/10.4067/S0719-06462014000100002Abstract
The aim of this paper is to prove that, in an appropriate setting, every iterative sequence generated by the viscosity approximation method with a sequence of contractions is convergent whenever so is every iterative sequence generated by the Halpern type iterative method. Then, using our results, we show some convergence theorems for variational inequality problems, zero point problems, and fixed point problems.
Keywords
Similar Articles
- Sunny Chauhan, B. D. Pant, Mohammad Imdad, Coincidence and common fixed point theorems in Non-Archimedean Menger PM-spaces , CUBO, A Mathematical Journal: Vol. 15 No. 3 (2013): CUBO, A Mathematical Journal
- Mohsen Razzaghi, Hamid-Reza Marzban, Hybrid Functions in the Calculus of Variations , CUBO, A Mathematical Journal: Vol. 4 No. 1 (2002): CUBO, Matemática Educacional
- Ioannis K. Argyros, Santhosh George, Ball comparison between Jarratt‘s and other fourth order method for solving equations , CUBO, A Mathematical Journal: Vol. 20 No. 3 (2018)
- Sushanta Kumar Mohanta, Common Fixed Point Results in C∗-Algebra Valued b-Metric Spaces Via Digraphs , CUBO, A Mathematical Journal: Vol. 20 No. 1 (2018)
- Raúl Fierro, Sergio Pizarro, Fixed points of set-valued mappings satisfying a Banach orbital condition , CUBO, A Mathematical Journal: Vol. 25 No. 1 (2023)
- Juan Armando Parra, Israel Morales, Aspectos topológicos de las simetrías en superficies , CUBO, A Mathematical Journal: In Press
- Xu You, Approximation and inequalities for the factorial function related to the Burnside’s formula , CUBO, A Mathematical Journal: Vol. 26 No. 2 (2024)
- Mouffak Benchohra, Naima Hamidi, Fractional Order Differential Inclusions via the Topological Transversality Method , CUBO, A Mathematical Journal: Vol. 13 No. 2 (2011): CUBO, A Mathematical Journal
- Fatima Si bachir, Saïd Abbas, Maamar Benbachir, Mouffak Benchohra, Gaston M. N‘Guérékata, Existence and attractivity results for \(\psi\)-Hilfer hybrid fractional differential equations , CUBO, A Mathematical Journal: Vol. 23 No. 1 (2021)
- N. Seshagiri Rao, K. Kalyani, Kejal Khatri, Contractive mapping theorems in Partially ordered metric spaces , CUBO, A Mathematical Journal: Vol. 22 No. 2 (2020)
<< < 1 2 3 4 5 6 7 8 9 10 11 12 > >>
You may also start an advanced similarity search for this article.
Downloads
Download data is not yet available.
Published
2014-03-01
How to Cite
[1]
K. Aoyama and Y. Kimura, “Viscosity approximation methods with a sequence of contractions”, CUBO, vol. 16, no. 1, pp. 09–20, Mar. 2014.
Issue
Section
Articles
