A fractional analogue of Sinha's problem [Sinha, S. M. 1966. A duality theorem for nonlinear programming. Management Sci. 12 385.] is considered and duality theory is developed for it. This duality subsumes duality results of Chadha [Chadha, S. S. 1971. A dual fractional program. ZAMM 51 560.]...

Wolfe and Mond-Weir type symmetric minimax dual variational problems are formulated and usual duality theorems are established under convexity-concavity and pseudoconvexity-pseudoconcavity hypotheses respectively on the function <InlineEquation ID="Equ1"> <EquationSource Format="TEX"/> </InlineEquation> that appears in the two distinct dual pairs. Under an additional...</inlineequation>

In this paper, we establish a strong duality theorem for a pair of Mond–Weir type second-order nondifferentiable symmetric dual problems. This removes certain inconsistencies in some of the earlier results.