Mixed type nondifferentiable higher-order symmetric duality over cones

Izhar Ahmad, Khushboo Verma, Suliman Al-Homidan*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

2 Scopus citations


A new mixed type nondifferentiable higher-order symmetric dual programs over cones is formulated. As of now, in the literature, either Wolfe-type or Mond-Weir-type nondifferentiable symmetric duals have been studied. However, we present a unified dual model and discuss weak, strong, and converse duality theorems for such programs under higher-order F-convexity/higher-order F-pseudoconvexity. Self-duality is also discussed. Our dual programs and results generalize some dual formulations and results appeared in the literature. Two non-trivial examples are given to show the uniqueness of higher-order F-convex/higher-order F-pseudoconvex functions and existence of higher-order symmetric dual programs.

Original languageEnglish
Article number274
Issue number2
StatePublished - 1 Feb 2020

Bibliographical note

Funding Information:
Deanship of Research, King Fahd University of Petroleum and Minerals, Saudi Arabia, Project No. IN171012. The first and third authors would like to thank the King Fahd University of Petroleum and Minerals, Saudi Arabia to provide 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 by the authors.


  • Duality theorems
  • Higher-order nondifferentiable programming
  • Self duality higher-order F-convexity/higher-order F-pseudoconvexity
  • Symmetric duality

ASJC Scopus subject areas

  • Computer Science (miscellaneous)
  • Chemistry (miscellaneous)
  • Mathematics (all)
  • Physics and Astronomy (miscellaneous)


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