Optimality Conditions and Duality for a Class of Generalized Convex Interval-Valued Optimization Problems

This paper is devoted to derive optimality conditions and duality theorems for interval-valued optimization problems based on gH-symmetrically derivative. Further, the concepts of symmetric pseudo-convexity and symmetric quasi-convexity for interval-valued functions are proposed to extend above opti...

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Bibliographic Details
Published in:Mathematics
Main Authors: Yating Guo, Guoju Ye, Wei Liu, Dafang Zhao, Savin Treanţǎ
Format: Article
Language:English
Published: MDPI AG 2021-11-01
Subjects:
gH-symmetrically derivative
optimality conditions
wolfe duality
symmetric pseudo-convexity
symmetric quasi-convexity
Online Access:https://www.mdpi.com/2227-7390/9/22/2979
Description
Summary:This paper is devoted to derive optimality conditions and duality theorems for interval-valued optimization problems based on gH-symmetrically derivative. Further, the concepts of symmetric pseudo-convexity and symmetric quasi-convexity for interval-valued functions are proposed to extend above optimization conditions. Examples are also presented to illustrate corresponding results.
ISSN:2227-7390

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