一类反向混合单调对称压缩算子方程解的存在与惟一性定理

Existence and Uniqueness Theorem of Solution of Anti-Mixed Monotone Symmetric Compression Operator Equation

利用锥理论和非对称迭代方法,在半序空间中研究了一类具有反向混合单调对称压缩算子方程解的存在与惟一性,并给出迭代序列收敛于解的误差估计,所得结果改进和推广了混合单调算子方程某些已知相应结果.

Using the cone theory and non-symmetric iteration method,it is discussed that existence and uniqueness of solution of anti-mixed monotone symmetric compression operator equation in semi-ordered space,and the error estimates that the iterative sequences converge to solutions are also given,the results presented improve and generalize some corresponding results for mixed monotone operator.