G-锥度量空间中压缩映射的不动点定理

摘要

给出了G-锥度量空间的概念，利用迭代法探究了G-锥度量空间中压缩映射不动点定理，证明了在 G-锥度量空间中锥没有正规性的条件下压缩映射存在唯一不动点。%This paper introduces the concept of G-cone metric spaces, by using iterative method we explore some fixed point theorems of contraction mapping in G-cone metric spaces, and obtain some new fixed point theorems for the contractive mapping in G-cone metric spaces without the assumption normality.