D*−度量空间中广义F−压缩条件下的不动点定理
Fixed point theorems under generalized F−contractive conditions in D*−metric spaces
-
摘要: 在完备D*−度量空间的框架下,首次提出F−压缩映射和广义F−压缩映射的概念,然后使用不同的方法分别在这2种压缩条件下对自映射的不动点的存在性和唯一性进行研究并给出几个新的不动点定理,所得结果在很大程度上改变了已有文献的相关结果.Abstract: In the framework of complete D*−metric spaces, the notions of F−contractive mappings and generalized F−contractive mappings are firstly put forward, then the existence and uniqueness of fixed point for self-mappings are discussed respectively under the two contractive conditions in diverse methods, some new fixed point theorems are proved, which improved several relative results largely.