Study of multiobjective fractional variational formulation using η-Approximation Method

Authors

DOI:

https://doi.org/10.37256/cm.5420245031

Keywords:

variational problem, multiobjective, Mond-Weir dual, (weak) Pareto solution

Abstract

This paper investigates the idea of the η-approximated technique for converting the nonlinear and nonconvex multiobjective fractional variational dual problems (MFP) and (MFD) with inequality constraints to the linear and convex counterparts of the problems, namely, (MFP)η and (MFD)η, respectively. Weak, strong, and converse duality theorems are obtained for the original as well as the η-approximated dual pair under invexity for weak Pareto as well as Pareto solutions. Furthermore, the connection between the original and modified problems has also been established. A suitable numerical example is constructed to bolster the research paper.

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Published

2024-11-20

How to Cite

1.
Khatri S, Singamsetty P. Study of multiobjective fractional variational formulation using <i>η</i>-Approximation Method. Contemp. Math. [Internet]. 2024 Nov. 20 [cited 2024 Dec. 4];5(4):5178-212. Available from: https://ojs.wiserpub.com/index.php/CM/article/view/5031