A New Approach on Multiobjective Higher-Order Symmetric Duality Under Cone-Invexity

Khushboo Verma; Jai Prakash Verma; Izhar Ahmad

doi:10.1007/s40840-020-00952-5

A New Approach on Multiobjective Higher-Order Symmetric Duality Under Cone-Invexity

Khushboo Verma, Jai Prakash Verma^*, Izhar Ahmad

^*Corresponding author for this work

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

4 Scopus citations

Abstract

In this paper, we introduce a new pair of multiobjective higher-order symmetric dual models with cone constraints. Weak, strong and converse duality theorems for a such pair are discussed under higher-order cone-invex functions. Three non-trivial examples are presented to show the uniqueness of higher-order cone-invex function and existence of the multiobjective higher-order symmetric dual model. Several known results are obtained as special cases.

Original language	English
Pages (from-to)	479-495
Number of pages	17
Journal	Bulletin of the Malaysian Mathematical Sciences Society
Volume	44
Issue number	1
DOIs	https://doi.org/10.1007/s40840-020-00952-5
State	Published - Jan 2021

Bibliographical note

Publisher Copyright:
© 2020, Malaysian Mathematical Sciences Society and Penerbit Universiti Sains Malaysia.

Keywords

Duality theorems
Higher-order invexity/generalized invexity
Higher-order symmetric duality
Multiobjective programming

ASJC Scopus subject areas

General Mathematics

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10.1007/s40840-020-00952-5

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title = "A New Approach on Multiobjective Higher-Order Symmetric Duality Under Cone-Invexity",

abstract = "In this paper, we introduce a new pair of multiobjective higher-order symmetric dual models with cone constraints. Weak, strong and converse duality theorems for a such pair are discussed under higher-order cone-invex functions. Three non-trivial examples are presented to show the uniqueness of higher-order cone-invex function and existence of the multiobjective higher-order symmetric dual model. Several known results are obtained as special cases.",

keywords = "Duality theorems, Higher-order invexity/generalized invexity, Higher-order symmetric duality, Multiobjective programming",

author = "Khushboo Verma and Verma, {Jai Prakash} and Izhar Ahmad",

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AU - Verma, Jai Prakash

AU - Ahmad, Izhar

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N2 - In this paper, we introduce a new pair of multiobjective higher-order symmetric dual models with cone constraints. Weak, strong and converse duality theorems for a such pair are discussed under higher-order cone-invex functions. Three non-trivial examples are presented to show the uniqueness of higher-order cone-invex function and existence of the multiobjective higher-order symmetric dual model. Several known results are obtained as special cases.

AB - In this paper, we introduce a new pair of multiobjective higher-order symmetric dual models with cone constraints. Weak, strong and converse duality theorems for a such pair are discussed under higher-order cone-invex functions. Three non-trivial examples are presented to show the uniqueness of higher-order cone-invex function and existence of the multiobjective higher-order symmetric dual model. Several known results are obtained as special cases.

KW - Duality theorems

KW - Higher-order invexity/generalized invexity

KW - Higher-order symmetric duality

KW - Multiobjective programming

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EP - 495

JO - Bulletin of the Malaysian Mathematical Sciences Society

JF - Bulletin of the Malaysian Mathematical Sciences Society

IS - 1

ER -

A New Approach on Multiobjective Higher-Order Symmetric Duality Under Cone-Invexity

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

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Cite this