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Generalized vector variational-like inequalities and vector optimization in Asplund spaces |
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| Authors: | Qamrul Hasan Ansari Mahboubeh Rezaei |
| Affiliation: | 1. Department of Mathematics , Aligarh Muslim University , Aligarh 202 002 , Uttar Pradesh , India;2. Department of Mathematics and Statistics , King Fahd University of Petroleum and Minerals , Dhahran , Saudi Arabia qhansari@gmail.com;4. Department of Mathematics , University of Isfahan , Isfahan 81745-163 , Iran |
| Abstract: | Some properties of pseudoinvex functions, defined by means of limiting subdifferential, are obtained. Furthermore, the equivalence between vector variational-like inequalities involving limiting subdifferential and vector optimization problems are studied under pseudoinvexity condition. |
| Keywords: | nonsmooth functions limiting subdifferential pseudoinvex functions vector variational-like inequalities vector optimization problems |