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A minimax method for finding multiple critical points in Banach spaces is successfully developed in  by using a projected pseudo-gradient as a search direction. Since several different techniques can be used to compute a projected pseudo-gradient, the uniform stepsize and the continuity of a search direction, two key properties for the convergence results in , get lost. In this paper, instead of proving convergence results of the algorithm for each technique, unified convergence resultsdoi:10.1137/050627320 fatcat:qdbz2jvqqzajdm47vgixn6345q