Open AccessDuality for multiobjective variational problems under second-order (Ф,ρ)-invexity
Author(s) -
Vivek Singh,
Ahmad Ismail,
S. K. Gupta,
Suliman Al-Homidan
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.