A note on the combination of equilibrium problems
Optimization and Control
2019-04-15 v1
Abstract
In this short paper, we show that the solution set of a combination of equilibrium problems is not necessary contained in the intersection of a finite family of solution sets of equilibrium problems. As a corollary, we deduce that statements in recent papers given by S. Suwannaut, A. Kangtunyakarn (Fixed Point Theory Appl. 2013, 2014; Thai Journal of Maths. 2016), W. Khuangsatung, A. Kangtunyakarn (Fixed Point Theory Appl. 2014), and A.A. Khan, W. Cholamjiak, and K.R. Kazmi (Comput. Appl. Maths. 2018) are not correct.
Cite
@article{arxiv.1904.06013,
title = {A note on the combination of equilibrium problems},
author = {Nguyen Thi Thanh Ha and Tran Thi Huyen Thanh and Nguyen Ngoc Hai and Hy Duc Manh and Bui Van Dinh},
journal= {arXiv preprint arXiv:1904.06013},
year = {2019}
}
Comments
submitted (unpublished)