Cauchy列收敛于不动点的理论证明  

Cauchy Sequence: a Proof that It Converges to a Fixed Point

作　　者：王春光[1] 

机构地区：[1]朝阳师范高等专科学校,辽宁朝阳122000

出　　处：《辽东学院学报（自然科学版）》2008年第4期230-232,共3页Journal of Eastern Liaoning University:Natural Science Edition

摘　　要：在(M,d)度量空间中,通过对两个非线性不动点引理的运用,在轨迹连续映射和完全轨迹型映射下,给出Cauchy列收敛于不动点的两个定理证明,其主要结果加深了对不动点理论的深入研究。In the given metric space, by using two fixed point lemmas on nonlinear operators, based on track continuous mapping and full-track mapping, the proofs of two theorems which deal with Cauchy sequence convergence to nonlinear fixed point, was given. As consequences, the study of fixed point theory is enhanced.

关 键 词：CAUCHY列 完备度量空间 轨迹连续映射 完全轨迹型映射 

分 类 号：O241.81[理学—计算数学]