Banach空间中非混合单调算子的不动点定理

Generalizations of New Fixed Point Theorems of Some Mixed Monotone Operators

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二元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混合单调算子方程的某些已知结果.

By using the cone theory and the asymmetry changes the method of taking the place of, it obtains that Banach space does not have monotonicity, continuity, getting urgent to move existence uniqueness a bit two operator of terms, and provides and changes introducing to arrange and restrain it in the error estimate that is solved, has improved and popularized some known results which mix the dull operator equation in result received.