Multiobjective variational technique for  Cubic order  symmetric duality

Authors

  • Narmada Behera Department of Mathematics,School of Applied Sciences,\\Kalinga Institute of Industrial Technology$($KIIT$)$ Deemed to be University,\\ Bhubaneswar-751024,Odisha,India
  • Saumya Ranjan Jena Department of Mathematics,School of Applied Sciences,\\Kalinga Institute of Industrial Technology$($KIIT$)$ Deemed to be University,\\ Bhubaneswar-751024,Odisha,India
  • G. Biswal Department of Mathematics, KISS , Bhubaneswar-751024, India

Abstract

In this paper, we stuy a pair of multiobjective third order symmetric duality in variational problems. Various duality results (weak duality, strong duality and converse duality) are established. The suitable duality results are proved for the pair of third order symmetric duality multiobjective variational problems under the assumptions of $\eta$-bonvexity and generalized $\eta$-bonvexity.

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Published

2025-11-28

Issue

Vol. 32 No. 4 (2025): Nonlinear Studies (NS)

Section

Articles

License

Copyright (c) 2025 Narmada Behera, Saumya Ranjan Jena, G. Biswal

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

How to Cite

Multiobjective variational technique for  Cubic order  symmetric duality. (2025). Nonlinear Studies, 32(4), 1445-1463. https://www.nonlinearstudies.com/index.php/nonlinear/article/view/4145