Globally proper efficiency of set-valued optimization and vector variational inequality involving the generalized contingent epiderivative

Autor:	Wang Chen, Zhiang Zhou
Jazyk:	angličtina
Rok vydání:	2018
Předmět:	Set-valued optimization Generalized contingent epiderivative Cone subpreinvex set-valued map Globally proper efficiency Vector variational inequality Mathematics QA1-939
Zdroj:	Journal of Inequalities and Applications, Vol 2018, Iss 1, Pp 1-12 (2018)
Druh dokumentu:	article
ISSN:	1029-242X
DOI:	10.1186/s13660-018-1891-8
Popis:	Abstract In this paper, firstly, a new property of the cone subpreinvex set-valued map involving the generalized contingent epiderivative is obtained. As an application of this property, a sufficient optimality condition for constrained set-valued optimization problem in the sense of globally proper efficiency is derived. Finally, we establish the relations between the globally proper efficiency of the set-valued optimization problem and the globally proper efficiency of the vector variational inequality.
Databáze:	Directory of Open Access Journals
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