Vector Optimization Problems and Generalized Vector Variational-Like Inequalities

Authors

  • Ildar Sadeqi Department of Mathematics, Sahand University of Technology, Tabriz, Iran.
  • Somayeh Nadi Department of Mathematics, Sahand University of Technology, Tabriz, Iran.
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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Journal title

volume 17  issue 2

pages  69- 82

publication date 2020-06-01

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