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A multiobjective fractional variational control problem is considered. Wolfe type and Mond-Weir type duality results are also established under generalized (F, ρ)-convexity assumptions.

Multiobjective fractional programming problem involving invex functions is considered. Using parametric approach, two types of duals and appropriate weak and strong duality theorems for invex and quasiinvex functions are established for efficient solutions by considering a sequence of equivalent single objective programming problems.

Some duality theorems for vector fractional programs are established using the concept of efficiency and proper efficiency under generalized (F, ρ)-convexity assumptions.

In this paper some properties of semistrictly b-vex functions are studied. Relationship between semistrictly b-vex, strictly b-vex and b-vex functions are also established.

A vector-valued generalized Lagrangian is constructed for a multiobjective nonlinear fractional programming problem. A multiobjective dual is considered using the Lagrangian. Using Pareto efficiency, duality theorems are proved, without assuming differentiability.