An Application of the Maximum Theorem and the Distance Method in Set-valued Optimization Related to Efficient Continuous Selections
Zdravko Dimitrov Slavov, Christina Slavova Evans
Journal of Advances in Mathematics and Computer Science · pp. 1–7 · Published 8 Mar 2016
10.9734/BJMCS/2016/24450Abstract
In the present paper, we consider relationships between the basic solution concepts of set-valued optimization, the properties of continuous multifunctions with compact and convex values and the existence of efficient continuous selections using the Maximum Theorem and the Distance method. We also discuss two solution concepts in set-valued optimization problem and prove existence of two types of efficient continuous selections which correspond to the two set-valued optimization solutions, respectively.
Cited by 1
Z. Slavov, C. Evans · 2017
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