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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Autores principales:	Yating Guo, Guoju Ye, Wei Liu, Dafang Zhao, Savin Treanţǎ
Formato:	article
Lenguaje:	EN
Publicado:	MDPI AG 2021
Materias:	gH-symmetrically derivative optimality conditions wolfe duality symmetric pseudo-convexity symmetric quasi-convexity Mathematics QA1-939
Acceso en línea:	https://doaj.org/article/e25b964bdaa94f4094c2732d3f8d1e21
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spelling	oai:doaj.org-article:e25b964bdaa94f4094c2732d3f8d1e212021-11-25T18:17:45ZOptimality Conditions and Duality for a Class of Generalized Convex Interval-Valued Optimization Problems10.3390/math92229792227-7390https://doaj.org/article/e25b964bdaa94f4094c2732d3f8d1e212021-11-01T00:00:00Zhttps://www.mdpi.com/2227-7390/9/22/2979https://doaj.org/toc/2227-7390This 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.Yating GuoGuoju YeWei LiuDafang ZhaoSavin TreanţǎMDPI AGarticlegH-symmetrically derivativeoptimality conditionswolfe dualitysymmetric pseudo-convexitysymmetric quasi-convexityMathematicsQA1-939ENMathematics, Vol 9, Iss 2979, p 2979 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	gH-symmetrically derivative optimality conditions wolfe duality symmetric pseudo-convexity symmetric quasi-convexity Mathematics QA1-939
spellingShingle	gH-symmetrically derivative optimality conditions wolfe duality symmetric pseudo-convexity symmetric quasi-convexity Mathematics QA1-939 Yating Guo Guoju Ye Wei Liu Dafang Zhao Savin Treanţǎ Optimality Conditions and Duality for a Class of Generalized Convex Interval-Valued Optimization Problems
description	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.
format	article
author	Yating Guo Guoju Ye Wei Liu Dafang Zhao Savin Treanţǎ
author_facet	Yating Guo Guoju Ye Wei Liu Dafang Zhao Savin Treanţǎ
author_sort	Yating Guo
title	Optimality Conditions and Duality for a Class of Generalized Convex Interval-Valued Optimization Problems
title_short	Optimality Conditions and Duality for a Class of Generalized Convex Interval-Valued Optimization Problems
title_full	Optimality Conditions and Duality for a Class of Generalized Convex Interval-Valued Optimization Problems
title_fullStr	Optimality Conditions and Duality for a Class of Generalized Convex Interval-Valued Optimization Problems
title_full_unstemmed	Optimality Conditions and Duality for a Class of Generalized Convex Interval-Valued Optimization Problems
title_sort	optimality conditions and duality for a class of generalized convex interval-valued optimization problems
publisher	MDPI AG
publishDate	2021
url	https://doaj.org/article/e25b964bdaa94f4094c2732d3f8d1e21
work_keys_str_mv	AT yatingguo optimalityconditionsanddualityforaclassofgeneralizedconvexintervalvaluedoptimizationproblems AT guojuye optimalityconditionsanddualityforaclassofgeneralizedconvexintervalvaluedoptimizationproblems AT weiliu optimalityconditionsanddualityforaclassofgeneralizedconvexintervalvaluedoptimizationproblems AT dafangzhao optimalityconditionsanddualityforaclassofgeneralizedconvexintervalvaluedoptimizationproblems AT savintreanta optimalityconditionsanddualityforaclassofgeneralizedconvexintervalvaluedoptimizationproblems
_version_	1718411411898499072

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

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