Saddle Point Criteria in Multiobjective Fractional Programming Involving Exponential Invexity

Abstract

Consider a system of nondifferentiable multiobjective nonlinear fractional programming problem involving exponential $$(p,\,r)$$ -invex functions with respect to $$\eta .$$ A new concept of saddle point for a mixed Lagrange function is introduced. We establish the equivalence between the saddle point and an efficient solution of the minimization multiobjective fractional problem involving exponential $$(p,\,r)$$ -invexity assumptions.