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

Yating Guo, Guoju Ye, Wei Liu, Dafang Zhao and Savin Treanţǎ
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Yating Guo: College of Science, Hohai University, Nanjing 210098, China
Guoju Ye: College of Science, Hohai University, Nanjing 210098, China
Wei Liu: College of Science, Hohai University, Nanjing 210098, China
Dafang Zhao: School of Mathematics and Statistics, Hubei Normal University, Huangshi 435002, China
Savin Treanţǎ: Department of Applied Mathematics, University Politehnica of Bucharest, 060042 Bucharest, Romania

Mathematics, 2021, vol. 9, issue 22, 1-14

Abstract: 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.

Keywords: gH-symmetrically derivative; optimality conditions; wolfe duality; symmetric pseudo-convexity; symmetric quasi-convexity (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2021
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (5)

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