Stability Property in Bifunction-Set Optimization
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This paper gives sufficient conditions for the lower and upper semicontinuities of the solution mapping of a model, called the parametric bifunction-set optimization problem, which provides a bridge between several parametric set optimization problems and parametric generalized vector Ky Fan inequality problems. Our main theorems, applied to the just mentioned problems, give some new or sharper results.
KeywordsBifunction-set optimization Set optimization Ky Fan inequality Set-valued map Semicontinuity
Mathematics Subject Classification90C29 49J40 49K40
The author would like to thank the anonymous referees for their suggestions, that improved the paper. This research is funded by Vietnam National Foundation for Science and Technology Development (NAFOSTED) under Grant No. 101.01-2017.08.
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Conflict of Interest
The author declares that he has no conflict of interest.
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