Acceptable moves for the "worthwhile-to-move" incremental principle are such that "advantages-to-move" are higher than some fraction of "costs-to-move". When combined with optimization, t...
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Acceptable moves for the "worthwhile-to-move" incremental principle are such that "advantages-to-move" are higher than some fraction of "costs-to-move". When combined with optimization, this principle gives raise to adaptive local search proximal algorithms. Convergence results are given in two distinctive cases, namely low local costs-to-move and high local costs-to-move. In this last case, one obtains a dynamic cognitive approach to Ekeland's I mu-variational principle. Introduction of costs-to-move in the algorithms yields robustness and stability properties.
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