Duality for multiobjective variational problems under second-order (Ф,ρ)-invexity | Zendy

Vivek Singh | Zendy; I. Ahmad | Zendy; S. K. Gupta | Zendy; Suliman AlHomidan | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Open Access

Duality for multiobjective variational problems under second-order (Ф,ρ)-invexity

Author(s) -

Vivek Singh,

I. Ahmad,

S. K. Gupta,

Suliman AlHomidan

Publication year - 2021

Publication title -

filomat

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.449

H-Index - 34

eISSN - 2406-0933

pISSN - 0354-5180

DOI - 10.2298/fil2102605s

Subject(s) - mathematics , duality (order theory) , class (philosophy) , order (exchange) , strong duality , dual (grammatical number) , pure mathematics , mathematical optimization , optimization problem , computer science , art , literature , finance , artificial intelligence , economics

The purpose of this article is to introduce the concept of second order (?,?)-invex function for continuous case and apply it to discuss the duality relations for a class of multiobjective variational problem. Weak, strong and strict duality theorems are obtained in order to relate efficient solutions of the primal problem and its second order Mond-Weir type multiobjective variational dual problem using aforesaid assumption. A non-trivial example is also exemplified to show the presence of the proposed class of a function.

The content you want is available to Zendy users.

Already have an account? Click here to sign in.

Having issues? You can contact us here

Accelerating Research