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## Proyecciones (Antofagasta)

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*Print version* ISSN 0716-0917

### Proyecciones (Antofagasta) vol.39 no.1 Antofagasta Feb. 2020

#### http://dx.doi.org/10.22199/issn.0717-6279-2020-01-0002

Artículos

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

^{1 }J. C. Bose University of Science and Technology, YMCA, Dept. of Mathematics, Faridabad, HR, India. E-mail: rdubeyjiya@gmail.com

^{2 }Indira Gandhi National Tribal University, Dept. of Mathematics, Amarkantak, MP, India. E-mail: vishnunarayanmishra@gmail.com

*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, ρ, d)-type-I convex functions. Under these the higher-order pseudo quasi/ strictly pseudo quasi/weak strictly pseudo quasi- (V, ρ, d)-type-I convexity assumptions, we prove the higher-order weak, higher-order strong and higher-order converse duality theorems related to efficient solution.*

**Keywords: **Fractional programming; Multiobjective; Support function; Efficient solutions

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[17] R. Dubey , L. N. Mishra , and R. Ali, “Special class of second-order non-differentiable symmetric duality problems with (*G,α*
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Received: November 2018; Accepted: December 2019