308. On the Equivalence between Non-smooth Interval-Valued Vector Optimization Problems and Generalized Vector Variational Inequalities
Invited abstract in session MD-50: Variational analysis and equilibria, stream Variational analysis, equilibria and nonsmooth optimization.
Monday, 14:30-16:00Room: Parkinson B11
Authors (first author is the speaker)
| 1. | Priyanka Mishra
|
| Basic Sciences and Humanities, PSIT Kanpur |
Abstract
This article deals with the study of a class of non-smooth interval-valued vector optimization problem and a class of generalized vector variational inequality with its weak form for interval-valued functions. Using the tools of Mordukhovich subdifferential, we define some new classes of generalized approximate LU-convex functions. These functions are then employed to establish the relations between the solutions of generalized vector variational inequalities and the approximate LU-efficient solutions of the non-smooth interval-valued vector optimization problem. Moreover, we identify the Kuhn–Tucker vector critical points of the considered non-smooth interval-valued vector optimization problem. Under suitable constraint qualification, we establish the equivalence among local approximate LU-efficient points, Kuhn–Tucker vector critical points and the solutions of generalized vector variational inequalities.
Keywords
- Non-smooth Optimization
- Programming, Multi-Objective
- Generalized Convex Optimization
Status: accepted
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