Duality Theory in Generalized ρ-Univex Fractional Semi-Infinite Programming

摘要

The Mond-Weir type duality for a class of nonsmooth nonconvex fractional semi-infinite programming are studied. Under the generalized ρ- univexity hypotheses, some weak and strongduality theorems are established, which provide a measurement of sensitivity for given problems to perturbations. The results can be applied to fractional program problems arising from portfolio selection, agricultural panning, information transfer, cargo-loading problems, stochastic processes and numerical analysis, etc.