The method of common descent for a certain class of quasidifferentiable functions

We present a method based on the concept of common descent direction for finding an (e, τ)stationary-Pareto point of a certain class of quasidifferentiable functions. This type of functions naturally occurs in the Kojima condition for a C 2optimization problem [5]. A very important property of the proposed algorithm is the fitness of the iteration process under a mild assumption.