SUFFICIENCY AND DUALITY FOR INTERVAL-VALUED OPTIMIZATION PROBLEMS WITH VANISHING CONSTRAINTS USING WEAK CONSTRAINT QUALIFICATIONS

Izhar Mohammad Gufran Ahmad; K Kummari; Suliman Saleh Al-Homidan

SUFFICIENCY AND DUALITY FOR INTERVAL-VALUED OPTIMIZATION PROBLEMS WITH VANISHING CONSTRAINTS USING WEAK CONSTRAINT QUALIFICATIONS

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Abstract

In this paper, we are concerned with one of the difficult class of optimization problems called the interval-valued optimization problem with vanishing constraints. Sufficient optimality conditions for a LU optimal solution are derived under generalized convexity assumptions. Moreover, appropriate duality results are discussed for a Mond-Weir type dual problem. In addition, numerical examples are given to support the sufficient optimality conditions and weak duality theorem.

Original language	English
Journal	ETAMATHS PUBL
State	Published - 2020

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@article{a9097883d8e34c77a1b5157d069aa06a,

title = "SUFFICIENCY AND DUALITY FOR INTERVAL-VALUED OPTIMIZATION PROBLEMS WITH VANISHING CONSTRAINTS USING WEAK CONSTRAINT QUALIFICATIONS",

abstract = "In this paper, we are concerned with one of the difficult class of optimization problems called the interval-valued optimization problem with vanishing constraints. Sufficient optimality conditions for a LU optimal solution are derived under generalized convexity assumptions. Moreover, appropriate duality results are discussed for a Mond-Weir type dual problem. In addition, numerical examples are given to support the sufficient optimality conditions and weak duality theorem.",

author = "Ahmad, \{Izhar Mohammad Gufran\} and K Kummari and Al-Homidan, \{Suliman Saleh\}",

year = "2020",

language = "English",

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TY - JOUR

T1 - SUFFICIENCY AND DUALITY FOR INTERVAL-VALUED OPTIMIZATION PROBLEMS WITH VANISHING CONSTRAINTS USING WEAK CONSTRAINT QUALIFICATIONS

AU - Ahmad, Izhar Mohammad Gufran

AU - Kummari, K

AU - Al-Homidan, Suliman Saleh

PY - 2020

Y1 - 2020

N2 - In this paper, we are concerned with one of the difficult class of optimization problems called the interval-valued optimization problem with vanishing constraints. Sufficient optimality conditions for a LU optimal solution are derived under generalized convexity assumptions. Moreover, appropriate duality results are discussed for a Mond-Weir type dual problem. In addition, numerical examples are given to support the sufficient optimality conditions and weak duality theorem.

AB - In this paper, we are concerned with one of the difficult class of optimization problems called the interval-valued optimization problem with vanishing constraints. Sufficient optimality conditions for a LU optimal solution are derived under generalized convexity assumptions. Moreover, appropriate duality results are discussed for a Mond-Weir type dual problem. In addition, numerical examples are given to support the sufficient optimality conditions and weak duality theorem.

M3 - Article

SN - 2291-8639

JO - ETAMATHS PUBL

JF - ETAMATHS PUBL

ER -

SUFFICIENCY AND DUALITY FOR INTERVAL-VALUED OPTIMIZATION PROBLEMS WITH VANISHING CONSTRAINTS USING WEAK CONSTRAINT QUALIFICATIONS

Abstract

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