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度量空间上B^(*)-隐式收缩条件和唯一公共不动点 被引量:1
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作者 朴勇杰 《中山大学学报(自然科学版)(中英文)》 CAS CSCD 北大核心 2022年第5期173-180,共8页
首先引进了一类新的3元实函数类B^(*)并给出映射的B^(*)-隐式收缩条件,然后得到具有两个不同度量的非空集合上两个映射在连续或非连续及空间的完备或非完备条件下的唯一公共不动点的存在性,还给出了无穷多个映射在非连续下的唯一公共不... 首先引进了一类新的3元实函数类B^(*)并给出映射的B^(*)-隐式收缩条件,然后得到具有两个不同度量的非空集合上两个映射在连续或非连续及空间的完备或非完备条件下的唯一公共不动点的存在性,还给出了无穷多个映射在非连续下的唯一公共不动点存在定理。最后,用两个具体例子验证了得到结果的正确性。所得结论推广和改进了一些已知结果,特别是Banach收缩原理,Chatterjea-型(公共)不动点定理及相应(公共)不动点定理。 展开更多
关键词 B^(*)-隐式收缩 (公共)不动点 P-性质
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度量空间上A-收缩映射的不动点定理的改进 被引量:3
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作者 朴勇杰 《数学物理学报(A辑)》 CSCD 北大核心 2018年第5期855-863,共9页
引进新的三元函数类A~*改进已知的A-收缩条件并给出一个映射的不动点和一族映射的公共不动点存在定理,同时讨论具有两个度量的非空集合上自映射在非连续和非完备下的不动点存在性问题.所得结论推广和改进了很多已知结论.
关键词 类A 类A^* (公共)不动点
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Common Fixed Point Theorems for Sequences of φ-type Contraction Set-valued Mappings 被引量:9
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作者 WU Jian-rong LIU Hai-yan 《Chinese Quarterly Journal of Mathematics》 CSCD 2009年第4期504-510,共7页
In complete metric spaces, the common fixed point theorems for sequences of φ-type contraction set-valued mappings are established, and the corresponding random com- mon fixed point theorems for set-valued mappings a... In complete metric spaces, the common fixed point theorems for sequences of φ-type contraction set-valued mappings are established, and the corresponding random com- mon fixed point theorems for set-valued mappings are also obtained. 展开更多
关键词 sequence of set-valued mappings common fixed point random fixed point metric space
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Common Fixed Point Theorems of Single-valued and Set-valued Mappings in Complete,Convex Metric Spaces 被引量:1
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作者 LIANGJun-qi ZHANGZhi-hong ZHAOLing 《Chinese Quarterly Journal of Mathematics》 CSCD 2003年第3期264-270,共7页
Under the conditions of compatility or sub -c ompatility between a sigle-valued mapping and set-valued mapping, this paper d iscusses the existence of common fixed points for two set-valued mappings and a single-value... Under the conditions of compatility or sub -c ompatility between a sigle-valued mapping and set-valued mapping, this paper d iscusses the existence of common fixed points for two set-valued mappings and a single-valued mapping in complete, convex matric spaces. We extend and develop the main results. 展开更多
关键词 complete convex metric spaces compatible mappings s ub-compatible mappings common fixed point theorems
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A Common Fixed Point Theorem for Weakly Compatible Mappingsin Fuzzy Semi-Metric Space
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作者 U. Rajopadhyaya K. Jha P. Kumam 《Journal of Mathematics and System Science》 2014年第11期720-724,共5页
In this paper, we establish a common fixed pointtheorem for three pairs of self-mappings in fuzzy semi-metric space which improves and extends similar known results in the literature.
关键词 Fuzzy Semi-metric space weakly compatible mapping common fixed point.
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A Common Fixed Point Theorem for Compatible Mappings of Type (K) in Intuitionistic Fuzzy Metric space
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作者 K.B. Manandhar K. Jha 《Journal of Mathematics and System Science》 2015年第11期474-479,共6页
The purpose of our paper is to obtain a common fixed point theorem for two pairs of self-mappings of compatible of type (K) in a complete intuitionistic fuzzy Metric space with example. Our result generalized and im... The purpose of our paper is to obtain a common fixed point theorem for two pairs of self-mappings of compatible of type (K) in a complete intuitionistic fuzzy Metric space with example. Our result generalized and improves similar other results in literature. 展开更多
关键词 Compatible mappings Compatible mappings of type (K) and common fixed point.
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