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Commun. Korean Math. Soc. 2016; 31(4): 765-777
Online first article October 11, 2016 Printed October 31, 2016
https://doi.org/10.4134/CKMS.c150232
Copyright © The Korean Mathematical Society.
Weak convergence theorems for 2-generalized hybrid mappings and equilibrium problems
Sattar Alizadeh and Fridoun Moradlou
Marand Branch, Islamic Azad University, Sahand University of Technology
In this paper, we propose a new modified Ishikawa iteration for finding a common element of the set of solutions of an equilibrium problem and the set of fixed points of $2$-generalized hybrid mappings in a Hilbert space. Our results generalize and improve some existing results in the literature. A numerical example is given to illustrate the usability of our results.
Keywords: equilibrium problem, fixed point, Hilbert space, weak conver\-gence
MSC numbers: Primary 47H10,47H09, 47J25, 47J05
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