非完备b-度量空间上四个非连续映射具有唯一公共不动点的定理  

Theorems on the unique common fixed point for four non-continuous self-mappings on non-complete b-metric spaces

作　　者：朴勇杰[1] PIAO Yongjie(Department of Mathematics,College of Science,Yanbian University,Yanji 133002,China)

机构地区：[1]延边大学理学院数学系,吉林延吉133002

出　　处：《中山大学学报（自然科学版）（中英文）》2021年第4期146-153,共8页Acta Scientiarum Naturalium Universitatis Sunyatseni

基　　金：国家自然科学基金(11361064,11761072)。

摘　　要：给出了在非完备的b-度量空间上满足Φ-隐式压缩条件或线性压缩条件的4个非连续的且满足弱相容条件的自映射具有唯一公共不动点的存在定理。所得结果推广和改进了许多相应的公共不动点定理。最后,给出实例支撑本文的主要结果。Several unique common fixed point theorems for four non-continuous and weakly compatible self-mappings satisfying Φ-implicit contractive condition or linear contractive condition are given on non-complete b-metric space.The obtained results generalize and improve many corresponding common fixed point theorems.Finally,One of the main results is supported with a relevant example.

关 键 词：公共不动点 弱相容 b-度量空间 Φ-隐式压缩 

分 类 号：O177.3[理学—数学] O189.11[理学—基础数学]