Generalized vector variational-like inequalities and vector optimization

Authors:
Qamrul Hasan Ansari;Mahboubeh Rezaie;Jafar Zafarani
Affiliations:
Department of Mathematics, Aligarh Muslim University, Aligarh, India 202 002;Department of Mathematics, University of Isfahan, Isfahan, Iran 81745-163;Department of Mathematics, University of Isfahan, Isfahan, Iran 81745-163 and University of Sheikhbahaee, Isfahan, Iran
Venue:
Journal of Global Optimization
Year:
2012

Citing 4
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Abstract

In this paper, we consider different kinds of generalized vector variational-like inequality problems and a vector optimization problem. We establish some relationships between the solutions of generalized Minty vector variational-like inequality problem and an efficient solution of a vector optimization problem. We define a perturbed generalized Stampacchia vector variational-like inequality problem and discuss its relation with generalized weak Minty vector variational-like inequality problem. We establish some existence results for solutions of our generalized vector variational-like inequality problems.