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

3 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

Funding Information:
The third author would like to thank the King Fahd University of Petroleum and Minerals, Saudi Arabia, for providing the financial support under the Internal Research Project No. IN171012. The authors are thankful to referees for their valuable suggestions which improved the results and presentation of this article.

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

Mathematics (all)

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10.1007/s40840-020-00952-5

Cite this

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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 - Ahmad, Izhar

N1 - Funding Information: The third author would like to thank the King Fahd University of Petroleum and Minerals, Saudi Arabia, for providing the financial support under the Internal Research Project No. IN171012. The authors are thankful to referees for their valuable suggestions which improved the results and presentation of this article. Publisher Copyright: © 2020, Malaysian Mathematical Sciences Society and Penerbit Universiti Sains Malaysia.

PY - 2021/1

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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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JF - Bulletin of the Malaysian Mathematical Sciences Society

IS - 1

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

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

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