A note on the combination of equilibrium problems
| Autor: | Nguyen Thi Thanh Ha, Tran Thi Huyen Thanh, Bui Van Dinh, Hy Duc Manh, Nguyen Ngoc Hai |
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| Rok vydání: | 2019 |
| Předmět: |
TheoryofComputation_MISCELLANEOUS
0209 industrial biotechnology Pure mathematics 021103 operations research General Mathematics Numerical analysis 0211 other engineering and technologies Solution set TheoryofComputation_GENERAL Monotonic function 02 engineering and technology Management Science and Operations Research 020901 industrial engineering & automation Monotone polygon Intersection Optimization and Control (math.OC) FOS: Mathematics 47H10 49J40 49J52 90C30 Always true Convex function Mathematics - Optimization and Control Software Mathematics |
| DOI: | 10.48550/arxiv.1904.06013 |
| Popis: | 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. Comment: submitted (unpublished) |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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