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Vector Optimization Problems and Generalized Vector Variational-Like Inequalities
Journal: Sahand Communications in Mathematical Analysis (Vol.17, No. 2)Publication Date: 2020-06-01
Authors : Ildar Sadeqi; Somayeh Nadi;
Page : 69-82
Keywords : Nonsmooth functions; Limiting subdifferential; Pseudoinvex functions; Vector variational-like inequalities; Vector optimization problems;
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Abstract
In this paper, some properties of pseudoinvex functions, defined by means of limiting subdifferential, are discussed. Furthermore, the Minty vector variational-like inequality, the Stampacchia vector variational-like inequality, and the weak formulations of these two inequalities defined by means of limiting subdifferential are studied. Moreover, some relationships between the vector variational-like inequalities and vector optimization problems are established.
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Last modified: 2020-06-16 17:03:39