Symmetric Duality for Multiobjective Variational Problems with Invexity

Abstract

We formulate a pair of multiobjective nonlinear symmetric dual variational problems. For the single objective problems our problems become the symmetric dual pair of I. Smart and B. Mond (J. Math. Anal. Appl.152, 1990, 536–545). Under invexity assumptions, we establish the weak, strong, converse, and self duality theorems for our variational problems by using the concept of efficiency. Also, we give the static case of our symmetric duality results.