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1、本文引進(jìn)和研究了三類非線性變分不等式和變分不等式組，主要討論了它們的解的存在性與靈敏性分析．首先研究了涉及強(qiáng)單調(diào)和松弛單調(diào)映射的廣義強(qiáng)非線性擬變分不等式，證明了廣義強(qiáng)非線性擬變分不等式的解的存在性與唯一性，提供了擾動(dòng)帶誤差的三階迭代算法，得到了這種算法的的收斂性及穩(wěn)定性．其次研究了一類新的含參量非線性隱擬變分不等式，并給出了有關(guān)這種擬變分不等式的解的存在性與靈敏性分析．最后研究了一類廣義含參量變分不等式組，并建立了這類變分不等式組的解的
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