Solution Existence 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. 176, issue 1, No 1, 16 pages

Abstract: Abstract This paper establishes a bridge between set optimization problems and vector Ky Fan inequality problems. We introduce a general model, called the bifunction-set optimization problem, that provides a unifying framework for the above-mentioned problems. An existence result in our model is obtained, with the help of KKM–Fan’s lemma. As applications, we derive some new or sharper existence results for set optimization problems and generalized vector Ky Fan inequalities with efficient solutions.

Keywords: Bifunction-set optimization; Ky Fan inequality; KKM–Fan lemma; Solution existence; 90C31; 49J40; 49K40 (search for similar items in EconPapers)
Date: 2018
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Citations: View citations in EconPapers (3)

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DOI: 10.1007/s10957-017-1193-1

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