Duality for multiobjective variational problems under second-order (Φ, ρ)-invexity

Vivek Singh*, I. Ahmad, S. K. Gupta, S. Al-Homidan

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

1 Scopus citations


The purpose of this article is to introduce the concept of second order (Φ, ρ)-invex function for continuous case and apply it to discuss the duality relations for a class of multiobjective variational problem. Weak, strong and strict duality theorems are obtained in order to relate efficient solutions of the primal problem and its second order Mond-Weir type multiobjective variational dual problem using aforesaid assumption. A non-trivial example is also exemplified to show the presence of the proposed class of a function.

Original languageEnglish
Pages (from-to)605-615
Number of pages11
Issue number2
StatePublished - 2021

Bibliographical note

Publisher Copyright:
© 2021, University of Nis. All rights reserved.


  • Efficient solution
  • Multiobjective programming
  • Second order duality
  • Variational programming
  • ρ)-invexity

ASJC Scopus subject areas

  • Mathematics (all)


Dive into the research topics of 'Duality for multiobjective variational problems under second-order (Φ, ρ)-invexity'. Together they form a unique fingerprint.

Cite this