以下为句子列表：
英文: By using the cone and partial ordering theory without regarding compactness conditions, it is studied the existence uniqueness of the solutions of some single operator equations, the results presented here improve and generalize some corresponding results
中文: 摘要利用锥与半序理论无需考虑紧性条件，研究了几类一元算子方程解的存在唯一性，所得结果改进和推广了增算子方程的某些已知相应结果。
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