广义G—空间中映象的不动点定理及应用

FIXED POINT THEOREMS FOR MAPPING ON GENERAL G-SPACE WITH APPLICATIONS

本文引入广义G—空间的概念,讨论这类空间中映象的不动点的存在性.作为应用,我们得到了概率度量空间中映象的一些不动点定理.本文所得结果,包含引文〔2,3,6〕的一些主要结果作为特例,并在更广泛的情形下回答了或部分地回答了Rhoades〔4〕所提出的问题.

In this paper, the concept of general G-space was introduced and some fixed point theorems for mapping on this kind of space were given. As applications, we get some fixed point theorems for mapping on probabilistic metric space. The results presented in this paper include the main results of [2,3,6] as special case,and which answered or partially answered the open question proposed by Rhoades [4] in more general case.