Shenghua Wang, Yifan Zhang, Wenxin Wang, Haichao Guo, Extragradient algorithms for split pseudomonotone equilibrium problems and fixed point problems in Hilbert spaces, Vol. 2019 (2019), Article ID 26, pp. 1-19

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DOI: 10.23952/jnfa.2019.26

Received January 23, 2019; Accepted June 16, 2019; Published July 2, 2019

 

Abstract. In this paper, we propose some extragradient iterative algorithms to find a common solution for split pseudomonotone equilibrium problems and the fixed point problems of nonself nonexpansive mappings and prove the weak and strong convergence of the proposed algorithms in Hilbert spaces. A numerical example in an infinite dimensional space is given to illustrate our main convergence theorems.

 

How to Cite this Article:
Shenghua Wang, Yifan Zhang, Wenxin Wang, Haichao Guo, Extragradient algorithms for split pseudomonotone equilibrium problems and fixed point problems in Hilbert spaces, Journal of Nonlinear Functional Analysis, Vol. 2019 (2019), Article ID 26, pp. 1-19.