Optimality conditions for multi-objective interval-valued E-convex functions with the use of $gH$-symmetrical differentiation

Author(s):

Sachin Rastogi , Akhlad Iqbal , Sanjeev Rajan

Message:
Article Type:
Research/Original Article (دارای رتبه معتبر)
Abstract:

In this paper, we introduce and discuss multi-objective interval-valued E-convex programming using gH-symmetrical differentiability. We prove nonlinear optimality conditions of Fritz John type for this context and construct an example to verify our results. Furthermore, we define LU-sE-pseudo convexity and LU-sE-quasi convexity for interval-valued functions and study some of their properties.

Keywords:

Fritz John optimality conditions , interval-valued functions , E-convexity , Multi objective programming , gH-symmetrically differentiation

Language:
English
Published:
International Journal Of Nonlinear Analysis And Applications, Volume:13 Issue: 2, Summer-Autumn 2022
Pages:
3261 to 3270
https://www.magiran.com/p2563406