一类非单调算子方程组解的存在唯一性定理

Existence and uniquencss theorems of solutions of non-monotone operator equations

运用锥理论与非对称迭代方法,得到了Banach空间不具有单调性、连续性和紧性条件的一类算子的不动点的存在唯一性,并给出了迭代序列收敛于解的误差估计,所得结果改进和推广了算子方程的某些已知结果.

By using the cone theory and the asymmetry changes, it concludes that Banach space does not have monotonicity, continuity, existence uniqueness of increasing operator, and restrain the error estimate. The resuct has improved and popularized some known results of operator equation in result received.