青岛大学学报（自然科学版）2018，Vol.31Issue(1)：20-24,28,6.DOI:10.3969/j.issn.1006-1037.2018.02.05
矩形b-度量空间中(α,ψ)有理型压缩映射的不动点定理
Fixed Point Theorems for (α,ψ) Rational Type Contractive Mappings in Rectangular b-Metric Space
周珊珊 1纪培胜1
作者信息
- 1. 青岛大学数学与统计学院,青岛266071
- 折叠
摘要
Abstract
In the setting of rectangular b-metric space,it is introduced the concept of (α,ψ) rational type contractive mappings.By using the iterative approach and with the aid of triangular α-admissible mapping,it is proved the existence and uniqueness of a fixed point for such class of generalized nonlinear contractive mappings under certain conditions.It generalizes the fixed point theorem of (α,ψ) rational type contractive mapping in the setting of rectangular metric space and obtained a new fixed point theorem of rectangular b-metric space.关键词
广义度量空间/矩形b-度量空间/(α,ψ)有理型压缩映射/不动点Key words
generalized metric space/rectangular b-metric space/(α,ψ) rational type contractive mapping/fixed point分类
数理科学引用本文复制引用
周珊珊,纪培胜..矩形b-度量空间中(α,ψ)有理型压缩映射的不动点定理[J].青岛大学学报（自然科学版）,2018,31(1):20-24,28,6.
