Stability Property in Bifunction-Set Optimization

Pham Huu Sach ()
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Pham Huu Sach: Vietnam Academy of Science and Technology

Journal of Optimization Theory and Applications, 2018, vol. 177, issue 2, No 6, 376-398

Abstract: Abstract 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.

Keywords: Bifunction-set optimization; Set optimization; Ky Fan inequality; Set-valued map; Semicontinuity; 90C29; 49J40; 49K40 (search for similar items in EconPapers)
Date: 2018
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Citations: View citations in EconPapers (2)

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DOI: 10.1007/s10957-018-1280-y

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