一类非紧二元算子的不动点及其应用  

Fixed Point for a Class of Noncompact Binary Operators and Applications

作　　者：张庆政[1] 

机构地区：[1]商丘师专数学系

出　　处：《工程数学学报》1998年第2期29-33,22,共6页Chinese Journal of Engineering Mathematics

摘　　要：利用锥理论和单调迭代技巧，讨论具有凹凸性的混合单调算子不动点的存在唯一性，并给出迭代序列收敛速度的估计；作为推论还给出增算子和减算子的相应结论。最后举例说明了结果的应用。Abstract By using the cone theory and the monotome iterative technique, the existence and uniqueness of fixed point for a class of mixed monotene operators with concave convex property are discussed, and the estimate of convergence rate for iterative sequence is given. As corollaries, the relevant results of increasing operator and decreasing operator are also given. Finally an example illustrates the applications of our results.

关 键 词：非紧二元算子 不动点理论 凹凸性 混合单调算子 锥 凹算子 

分 类 号：O177.91[理学—数学]