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The Convergence Theorem for (μ,λ)-evolutionary Strategies

DUAN Qihong,ZHANG Wenxiu(Faculty of Science, Xi'an Jiaotong University, Xi'an 710049)  
A general convergence theorem about (μ,λ)-Evolutionary Strategies is purposed and two useful applications are presented. For a continuous fitness function with global maximal set B, we investigate probabilities of a neighboring region of B including the population of (μ,λ)-evolutionary Strategies. Consequently, with a recursion for these probabilities, on several weak conditions, it is proved that the probabilities tend to 1.
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