【摘要】 引入L-序对称压缩算子的概念,利用锥与半序理论,讨论几类L-序对称压缩的二元算子方程解的 存在唯一性,并给出迭代序列收敛于解的误差估计,改进和推广了某些已有结果.最后给出所得结果的应用.更多还原

【Abstract】 The conception of L - ordering symmetric contraction operator is introduced. By the cone and partial ordering theory, the existence and uniqueness of solution for some L- ordering symmetric contraction two binary operators equations are studied, and the estimates of convergence rate for iterative sequence are also given. Some known results are improved. Finally, the applications of our results are given.更多还原