On semidifferentiable interval-valued programming problems

Abstract In this paper, we consider the semidifferentiable case of an interval-valued minimization problem and establish sufficient optimality conditions and Wolfe type as well as Mond–Weir type duality theorems under semilocal E-preinvex functions. Furthermore, we present saddle-point optimality cr...

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Main Authors:	Kin Keung Lai, Avanish Shahi, Shashi Kant Mishra
Format:	Article
Language:	English
Published:	SpringerOpen 2021-02-01
Series:	Journal of Inequalities and Applications
Subjects:	Interval-valued programming Semidifferentials Optimality Duality
Online Access:	https://doi.org/10.1186/s13660-021-02566-2

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spelling	doaj-042d85e3fff549e6bd5afd820505080a2021-02-21T12:03:41ZengSpringerOpenJournal of Inequalities and Applications1029-242X2021-02-012021111810.1186/s13660-021-02566-2On semidifferentiable interval-valued programming problemsKin Keung Lai0Avanish Shahi1Shashi Kant Mishra2College of Economics, Shenzhen UniversityDepartment of Mathematics, Institute of Science, Banaras Hindu UniversityDepartment of Mathematics, Institute of Science, Banaras Hindu UniversityAbstract In this paper, we consider the semidifferentiable case of an interval-valued minimization problem and establish sufficient optimality conditions and Wolfe type as well as Mond–Weir type duality theorems under semilocal E-preinvex functions. Furthermore, we present saddle-point optimality criteria to relate an optimal solution of the semidifferentiable interval-valued programming problem and a saddle point of the Lagrangian function.https://doi.org/10.1186/s13660-021-02566-2Interval-valued programmingSemidifferentialsOptimalityDuality
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Kin Keung Lai Avanish Shahi Shashi Kant Mishra
spellingShingle	Kin Keung Lai Avanish Shahi Shashi Kant Mishra On semidifferentiable interval-valued programming problems Journal of Inequalities and Applications Interval-valued programming Semidifferentials Optimality Duality
author_facet	Kin Keung Lai Avanish Shahi Shashi Kant Mishra
author_sort	Kin Keung Lai
title	On semidifferentiable interval-valued programming problems
title_short	On semidifferentiable interval-valued programming problems
title_full	On semidifferentiable interval-valued programming problems
title_fullStr	On semidifferentiable interval-valued programming problems
title_full_unstemmed	On semidifferentiable interval-valued programming problems
title_sort	on semidifferentiable interval-valued programming problems
publisher	SpringerOpen
series	Journal of Inequalities and Applications
issn	1029-242X
publishDate	2021-02-01
description	Abstract In this paper, we consider the semidifferentiable case of an interval-valued minimization problem and establish sufficient optimality conditions and Wolfe type as well as Mond–Weir type duality theorems under semilocal E-preinvex functions. Furthermore, we present saddle-point optimality criteria to relate an optimal solution of the semidifferentiable interval-valued programming problem and a saddle point of the Lagrangian function.
topic	Interval-valued programming Semidifferentials Optimality Duality
url	https://doi.org/10.1186/s13660-021-02566-2
work_keys_str_mv	AT kinkeunglai onsemidifferentiableintervalvaluedprogrammingproblems AT avanishshahi onsemidifferentiableintervalvaluedprogrammingproblems AT shashikantmishra onsemidifferentiableintervalvaluedprogrammingproblems
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On semidifferentiable interval-valued programming problems

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