Interval Valued Smooth Multiobjective Optimization. Some Optimality Conditions and Duality Results

  • Vasile Preda "Costin C. Kiriescu� National Institute of Economic Research, Bucharest, Romania and "Gheorghe Mihoc-Caius Iacob� Institute of Mathematical Statistics and Applied Mathematics, Bucharest, Romania.
Keywords: Multiobjective optimization, objective interval, optimality conditions, Wolfe type dual

Abstract

In this paper, first order optimality conditions for certain type of interval valued smooth multiobjective optimization problems are discussed. Also a number of duality results corresponding to this optimiza- tion problem are given. The necessary weak and strong optimality conditions are given by using some new regularity conditions and the sufficient optimality conditions and duality results for Wolfe type dual are stated under (?, ?)? invexity assumptions.

Published
2020-06-17
How to Cite
Preda, V. (2020). Interval Valued Smooth Multiobjective Optimization. Some Optimality Conditions and Duality Results. Emerging Issues in Science and Technology Vol. 4, 76-87. Retrieved from https://stm1.bookpi.org/index.php/eist-v4/article/view/1504