On nonsmooth multiobjective fractional programming problem involving \((p,r)\)-\(\rho\)-\((\eta,theta)\)-invex functions (Q6486686)

The class of multiobjective fractional programming problems (MFP) is considered, where the involved functions are locally Lipschitz. The authors first introduce the definition of the \((p,r)\)-\(\rho\)-\((\eta,\theta)\)-invex class about the Clarke generalized gradient and further extend the \((p,r)\)-\(\rho\)-\((\eta,\theta)\)-invex functions to the case of nondifferentiable functions. Based upon these generalized invex functions, sufficient optimality conditions for multiobjective fractional programming problems are derived. Further on, the authors formulate three different types of dual models corresponding to (MFP), and prove appropriate weak, strong and strict converse duality theorems.