摘要
利用锥和半序理论,研究Banach空间一类不具有单调性的算子方程A(x,x)=x,其中A可表示成A=A1+A2,A1是混合单调的,A2是反向混合单调的,并得到了可解性定理.
With cone and partial ordering theory, this paper studies the iterative solutions to non-monotone binary operator equations in Banach spaces where A has the decomposition A =A1＋A2, A1 is mixed monotone, and A2 is anti-mixed monotone. The results presented here improve and generalize some corresponding results for mixed monotone operator equations.
出处
《西南民族大学学报（自然科学版）》
CAS
2005年第5期667-668,共2页
Journal of Southwest Minzu University(Natural Science Edition)
关键词
锥与半序
算子方程
反向混合单调
cone and partial ordering
operator equation
anti-mixed monotone
