Non-differentiable higher-order fractional programming problem and their duality results under cone-invex functions

In this article, we study a new type of nondifferentiable generalized higher-order K-η- invex function. Wolfe-type higher-order nondifferentiable fractional dual is proposed and corresponding duality theorems are discussed under aforesaid assumptions. Also, we introduce generalize lemma’s i.e. 1 and...

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Bibliographic Details
Main Authors: Tripathi, Rajesh Kumar, Kumar, Arvind, Dubey, Ramu, Tiwari, Awanish Kumar, Tyagi, Jasvendra, Mishra, Vishnu Narayan
Format: Conference Proceeding
Language:English
Subjects:
Duality theorem
Mathematical programming
Online Access:Get full text
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Summary:In this article, we study a new type of nondifferentiable generalized higher-order K-η- invex function. Wolfe-type higher-order nondifferentiable fractional dual is proposed and corresponding duality theorems are discussed under aforesaid assumptions. Also, we introduce generalize lemma’s i.e. 1 and 2, for nondifferentiable higher-order fractional programming problem. We will prove the Strong Duality Theorem with the help of lemma 2.
ISSN:0094-243X
1551-7616
DOI:10.1063/5.0063227