Nonsmooth Interval-Valued Optimization and Saddle-Point Optimality Criteria

Anurag Jayswal; I. Ahmad; Jonaki Banerjee

doi:10.1007/s40840-015-0237-7

Nonsmooth Interval-Valued Optimization and Saddle-Point Optimality Criteria

Anurag Jayswal^*
, I. Ahmad
, Jonaki Banerjee

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

27 Scopus citations

Abstract

In this article, we focus our attention on a nonsmooth interval-valued optimization problem and establish sufficient optimality conditions for a feasible solution to be an LU optimal solution under the invexity assumption. Appropriate duality theorems for Wolfe and Mond–Weir-type duals are presented in order to relate the LU optimal solution of primal and dual programs. Moreover, saddle-point-type optimality conditions are established in order to find relation between LU optimal solution of primal and saddle point of Lagrangian function.

Original language	English
Pages (from-to)	1391-1411
Number of pages	21
Journal	Bulletin of the Malaysian Mathematical Sciences Society
Volume	39
Issue number	4
DOIs	https://doi.org/10.1007/s40840-015-0237-7
State	Published - 1 Oct 2016

Bibliographical note

Publisher Copyright:
© 2015, Malaysian Mathematical Sciences Society and Universiti Sains Malaysia.

Keywords

Duality
Interval-valued programming
Invexity
LU optimal
Lagrangian function
Sufficiency

ASJC Scopus subject areas

General Mathematics

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10.1007/s40840-015-0237-7

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abstract = "In this article, we focus our attention on a nonsmooth interval-valued optimization problem and establish sufficient optimality conditions for a feasible solution to be an LU optimal solution under the invexity assumption. Appropriate duality theorems for Wolfe and Mond–Weir-type duals are presented in order to relate the LU optimal solution of primal and dual programs. Moreover, saddle-point-type optimality conditions are established in order to find relation between LU optimal solution of primal and saddle point of Lagrangian function.",

keywords = "Duality, Interval-valued programming, Invexity, LU optimal, Lagrangian function, Sufficiency",

author = "Anurag Jayswal and I. Ahmad and Jonaki Banerjee",

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AU - Jayswal, Anurag

AU - Ahmad, I.

AU - Banerjee, Jonaki

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Y1 - 2016/10/1

N2 - In this article, we focus our attention on a nonsmooth interval-valued optimization problem and establish sufficient optimality conditions for a feasible solution to be an LU optimal solution under the invexity assumption. Appropriate duality theorems for Wolfe and Mond–Weir-type duals are presented in order to relate the LU optimal solution of primal and dual programs. Moreover, saddle-point-type optimality conditions are established in order to find relation between LU optimal solution of primal and saddle point of Lagrangian function.

AB - In this article, we focus our attention on a nonsmooth interval-valued optimization problem and establish sufficient optimality conditions for a feasible solution to be an LU optimal solution under the invexity assumption. Appropriate duality theorems for Wolfe and Mond–Weir-type duals are presented in order to relate the LU optimal solution of primal and dual programs. Moreover, saddle-point-type optimality conditions are established in order to find relation between LU optimal solution of primal and saddle point of Lagrangian function.

KW - Duality

KW - Interval-valued programming

KW - Invexity

KW - LU optimal

KW - Lagrangian function

KW - Sufficiency

UR - https://www.scopus.com/pages/publications/84988423382

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JO - Bulletin of the Malaysian Mathematical Sciences Society

JF - Bulletin of the Malaysian Mathematical Sciences Society

IS - 4

ER -

Nonsmooth Interval-Valued Optimization and Saddle-Point Optimality Criteria

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

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