On mixed type duality for nondifferentiable multiobjective variational problems

TL;DR

This paper develops a duality framework for nondifferentiable multiobjective variational problems involving higher order derivatives, establishing duality results under generalized invexity conditions and deriving special cases.

Contribution

It introduces a mixed type dual formulation for complex variational problems with nondifferentiability and higher derivatives, expanding duality theory in this context.

Findings

Duality results proved under generalized invexity

Special cases derived from the main results

Framework applicable to nondifferentiable higher order problems

Abstract

A mixed type dual to a nondifferentiable variational problem involving higher order derivative is formulated and duality results are proved under generalized invexity conditions. Special cases are generated from our results.