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A general structure is established that allows the comparison of various conditions that are sufficient for convergence of algorithms that can be modeled as the recursive application of a point-to-set map. This structure is used to compare several earlier sufficient conditions as well as three new sets of sufficient conditions. One of the new sets of conditions is shown to be the most general in that...
This paper presents two new theorems for establishing the convergence properties of multistep constrained optimization algorithms with antijamming features. The theorems extend earlier results of Polak and Klessig and are based on a transcription of multistep methods into one-step methods in a higher dimensional space. A comparison with Klessig's original theorem is given.
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