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 journalArticlepeer-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 languageEnglish
Pages (from-to)479-495
Number of pages17
JournalBulletin of the Malaysian Mathematical Sciences Society
Volume44
Issue number1
DOIs
StatePublished - 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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