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
Main Authors: Yating Guo, Guoju Ye, Wei Liu, Dafang Zhao, Savin Treanţǎ
Format: article
Language:EN
Published: MDPI AG 2021
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Online Access:https://doaj.org/article/e25b964bdaa94f4094c2732d3f8d1e21
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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.