摘要：
在更为一般的压缩条件下,在完备度量空间中研究具有n元点组的非线性压缩映象不动点的存在性,给出了一个新的不动点定理,推广和改进了相关结果.%The purpose of this paper is to study existence of fixed points for nonlinear contractive mappings with n point group in complete metric spaces under more general contractive type conditions,a new fixed point theorem is given.
摘要：
Banach 在1922年证明了完备度量空间上压缩映射不动点的存在性。通过对 Ba-nach 不动点定理条件的研究，给出了 Banach 压缩映像原理的推广，并提出 Banach 不动点定理在存在唯一性方面的应用。%Banach proved that the fixed point of contraction mapping existed on the complete metric space in 1922. Based on the Banach fixed point theorem condition research,the paper provided the generalization of Banach contraction mapping principle and put forward the existence uniqueness of the Banach fixed point theorem in application areas.
摘要：
In complete metric spaces, a further extension of the Banach contraction principle was got. The result weakens the condition, strengthens the result and simplifies the proof process of Jleli et al.%在完备度量空间中,将Banach压缩原理进行了进一步推广,所得结果削弱了Jleli等人设定的条件,增强了其所得的结论,同时简化了其证明过程.
