An Extragradient Method for Fixed Point Problems and Variational Inequality Problems
By Yonghong Yao, Yeong-Cheng Liou, Jen-Chih Yao. 2007
58 citations recorded by the source corpus.
We present an extragradient method for fixed point problems and variational inequality problems. Using this method, we can find the common element of the set of fixed points of a nonexpansive mapping and the set of solutions of the variational inequality for monotone mapping.
Subfields: Computational Theory and Mathematics, Geometry and Topology, Numerical Analysis
View Paper: https://www.semanticscholar.org/paper/7414a1fc7baee48635b4e92cf5903bcea800e90a
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In Computational Theory and Mathematics
In Geometry and Topology
In Numerical Analysis
Citations in the corpus
- An Extragradient Approximation Method for Equilibrium Problems and Fixed Point Problems of a Countable Family of Nonexpansive Mappings (2008, result): “This main theorem extends a recent result of Yao et al. 2007 and many others.”