Open AccessExtragradient methods with CQ technique for fixed point problems and equilibrium problems
Author(s) -
Zhangsong Yao,
Yeong-Cheng Liou,
Li-Jun Zhu
Publication year - 2020
Publication title -
filomat
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 34
eISSN - 2406-0933
pISSN - 0354-5180
DOI - 10.2298/fil2014783y
Subject(s) - mathematics , hilbert space , fixed point , convergence (economics) , iterative method , point (geometry) , mathematical optimization , algorithm , mathematical analysis , economics , economic growth , geometry
In this paper, we study iterative algorithms for solving fixed point problems and equilibrium problems in Hilbert spaces. We present an extragradient algorithm with CQ technique for finding a common element of the fixed points of pseudocontractive operators and the solutions of pseudomonotone equilibrium problems. Strong convergence result of the proposed algorithm is proved.