STRONG CONVERGENCE THEOREM BY AN EXTRAGRADIENT METHOD FOR FIXED POINT PROBLEMS AND VARIATIONAL INEQUALITY PROBLEMS
By Lu-Chuan Zeng, Jen-Chih Yao. 2006
262 citations recorded by the source corpus.
Subfields: Civil and Structural Engineering, Computational Theory and Mathematics, Numerical Analysis
View Paper: https://www.semanticscholar.org/paper/f6d614d14b92e7be9fa8c03b2e0a1fad6439c5da
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Civil and Structural Engineering
- Khalida Inayat Noor
- Yekini Shehu
- Yonghong Yao
- Yeong-Cheng Liou
- Muhammad Aslam Noor
- P. N. Ánh
- Aviv Gibali
- H. Yaqoob
In Computational Theory and Mathematics
- Yonghong Yao
- Yekini Shehu
- Yeong-Cheng Liou
- Khalida Inayat Noor
- Muhammad Aslam Noor
- Aviv Gibali
- Jen-Chih Yao
- Poom Kumam
In Numerical Analysis
- Yonghong Yao
- Yeong-Cheng Liou
- Yekini Shehu
- Khalida Inayat Noor
- Muhammad Aslam Noor
- Aviv Gibali
- Jen-Chih Yao
- P. N. Ánh
Citations in the corpus
- Modified Extragradient Methods for a System of Variational Inequalities in Banach Spaces (2010, methodology): “Several numerical methods have been developed for solving variational inequalities and related optimization problems, see [1–45] and the references therein.”
- An Extragradient Method for Fixed Point Problems and Variational Inequality Problems (2007, methodology): “[4] J.-C. Yao, “Variational inequalities with generalized monotone operators,” Mathematics of Oper- ations Research, vol. 19, no. 3, pp. 691–705, 1994.”
- An efficient iterative method for finding common fixed point and variational inequalities in Hilbert spaces (2018, methodology): “The algorithm structure requires only one projection onto the feasible set C of the VI (1) unlike the results in [28,33,40].”
- A hybrid extragradient method extended to fixed point problems and equilibrium problems (2013, methodology): “Thus, Algorithm 1 and its convergence become the following results proposed by Zeng and Yao [24].”
- Single projection method for pseudo-monotone variational inequality in Hilbert spaces (2018, background): “3 with only one projection onto the feasible set C and improve on the results in [12,22,23].”
- Weak Convergence of an Iterative Method for Pseudomonotone Variational Inequalities and Fixed-Point Problems (2010, unknown): “, [8–13].”
- Weak Convergence Theorem by an Extragradient Method for Variational Inequality, Equilibrium and Fixed Point Problems (2009, background): “Recently, Nadezhkina and Takahashi [7] and Zeng and Yao [15] proposed some new iterative schemes for finding elements in F (S) ∩ V I(A,C).”