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.
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
2010; 25(1): 69-82
2023; 38(3): 821-835
2019; 34(4): 1201-1222
2019; 34(4): 1157-1162
© 2022. The Korean Mathematical Society. Powered by INFOrang Co., Ltd