类拟b-度量空间上Chatterjea压缩映射的不动点定理OA
Fixed Point Theorems for Chatterjea Contraction Mappings on Dislocated Quasi-b-metric Spaces
为了拓展度量空间上的不动点理论,给出了类拟b-度量空间上循环Chatterjea压缩映射的概念.利用不动点方法,得到了此类压缩映射的不动点存在性和唯一性定理.利用反证法证明了Chatterjea压缩映射的不动点存在唯一性与该空间的完备性是等价的,并且也给出了几个例证.
The purpose of this paper is to extend the fixed point theory on metric spaces,the concept of cyclic Chatterjea contraction mapping on dislocated quasi-b-metric space is introduced.Bt utilizing the fixed point method,some theorems on the existence and uniqueness of fixed points for such contraction mappings are obtained.By employing the method of contradiction,the existence and uniqueness of fixed points for Chatterjea contraction mappings are shown to be equivalent to the completeness of the space.Additionally,several illustrative examples are also provided.
时自力;黄华平;王禹昕
重庆三峡科技大学数学与统计学院,重庆万州 404100重庆三峡科技大学数学与统计学院,重庆万州 404100重庆三峡科技大学数学与统计学院,重庆万州 404100
数理科学
类拟b-度量空间Chatterjea压缩映射b-度量空间不动点
Dislocated quasi-b-metric spaceChatterjea contraction mappingb-metric spaceFixed point
《应用数学》 2026 (3)
906-912,7
重庆市自然科学基金资助项目(CSTB2022NSCQ-MSX0290)
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