Nguyen Thi Thanh Ha, Tran Thi Huyen Thanh, Nguyen Ngoc Hai, Hy Duc Manh, Bui Van Dinh
Published 2019-04-12Version 1
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.
Comments: submitted (unpublished)
The augmented weak sharpness of solution sets in equilibrium problems
Stability of the Solution Set of Quasi-variational Inequalities and Optimal Control
Characterizations of Solution Sets of Fréchet Differentiable Problems with Quasiconvex Objective Function
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