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
- Abderemane Morame, Françoise Truc, Accuracy on eigenvalues for a Schrödinger operator with a degenerate potential in the semi-classical limit , CUBO, A Mathematical Journal: Vol. 9 No. 2 (2007): CUBO, A Mathematical Journal
- M.K. Gupta, Rupen Pratap Singh, Connectedness in Fuzzy bitopological Spaces , CUBO, A Mathematical Journal: Vol. 9 No. 1 (2007): CUBO, A Mathematical Journal
- Leigh C. Becker, T. A. Burton, Jensen's Inequality and Liapunov's Direct Method , CUBO, A Mathematical Journal: Vol. 6 No. 3 (2004): CUBO, A Mathematical Journal
- George Leitmann, A Direct Method of Optimization and its Application to a Class of Differential Games , CUBO, A Mathematical Journal: Vol. 5 No. 3 (2003): CUBO, Matemática Educacional
- Vito Lampret, Basic asymptotic estimates for powers of Wallis‘ ratios , CUBO, A Mathematical Journal: Vol. 23 No. 3 (2021)
- Vito Lampret, The perimeter of a flattened ellipse can be estimated accurately even from Maclaurin‘s series , CUBO, A Mathematical Journal: Vol. 21 No. 2 (2019)
- Rubén A. Hidalgo, A sufficiently complicated noded Schottky group of rank three , CUBO, A Mathematical Journal: Vol. 22 No. 1 (2020)
- Wenchang Chu, Chenying Wang, Wenlong Zhang, Partial fractions and ð˜²-binomial determinant identities , CUBO, A Mathematical Journal: Vol. 12 No. 3 (2010): CUBO, A Mathematical Journal
- Tatyana A. Komleva, Andrej V. Plotnikov, Natalia V. Skripnik, On the analytical solution of the Cauchy problem for a linear set-valued differential equation with a Hukuhara derivative , CUBO, A Mathematical Journal: Vol. 28 No. 2 (2026)
- Yaroslav Kurylev, Matti Lassas, Multidimensional Gel'fand Inverse Boundary Spectral Problem: Uniqueness and Stability , CUBO, A Mathematical Journal: Vol. 8 No. 1 (2006): CUBO, A Mathematical Journal
<< < 10 11 12 13 14 15 16 17 18 19 20 21 > >>
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
