# Nondifferentiable higher-order duality theorems for new type of dual model under generalized functions

## DOI:

https://doi.org/10.22199/issn.0717-6279-2020-01-0002## Keywords:

Fractional programming, Multiobjective, Support function, Efficient solutions## Abstract

The motivation behind this article is to study a class of nondifferentiable multiobjective fractional programming problem in which each component of objective functions contains a term including the support function of a compact convex set. For a differentiable function, we consider a class of higher order pseudo quasi/ strictly pseudo quasi/weak strictly pseudo quasi- (V, ?, d)-type-I convex functions. Under these the higher-order pseudo quasi/ strictly pseudo quasi/weak strictly pseudo quasi- (V, ?, d)-type-I convexity assumptions, we prove the higher-order weak, higher-order strong and higher-order converse duality theorems related to efficient solution.## References

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## Published

## How to Cite

*Proyecciones (Antofagasta, On line)*, vol. 39, no. 1, pp. 15-29, Feb. 2020.