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Common Fixed Point Theorems for Compatible and Weakly Compatible Maps in G-Metric Spaces 被引量:1
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作者 Asha Rani Sanjay Kumar +1 位作者 Naresh Kumar S. K. Garg 《Applied Mathematics》 2012年第10期1128-1134,共7页
In this paper first we prove common fixed point theorems for compatible and weakly compatible maps. Secondly, we prove common fixed point theorems for weakly compatible maps along with property (E.A.) and (CLRg) prope... In this paper first we prove common fixed point theorems for compatible and weakly compatible maps. Secondly, we prove common fixed point theorems for weakly compatible maps along with property (E.A.) and (CLRg) property respectively. 展开更多
关键词 G-metric SPACES compatible maps weakly compatible maps PROPERTY (E.A.) (CLRg) PROPERTY
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Common Fixed Point Theorems in Intuitionistic Fuzzy Metric Spaces 被引量:3
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作者 Saurabh Manro Sanjay Kumar Shivdeep Singh 《Applied Mathematics》 2010年第6期510-514,共5页
In this paper, we introduce the concept of – chainable intuitionistic fuzzy metric space akin to the notion of – chainable fuzzy metric space introduced by Cho, and Jung [1] and prove a common fixed point theorem fo... In this paper, we introduce the concept of – chainable intuitionistic fuzzy metric space akin to the notion of – chainable fuzzy metric space introduced by Cho, and Jung [1] and prove a common fixed point theorem for weakly compatible mappings in this newly defined space. 展开更多
关键词 Chainable Intuitionistic FUZZY METRIC Space weakly compatible maps
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Some Common Fixed Point Theorems in Menger Space
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作者 Sanjay Kumar Asha Rani 《Applied Mathematics》 2012年第3期235-245,共11页
This paper consists four sections. First section is central to the text. In second section, we generalize the results of Kohli and Vashistha [1] for pairs of mappings using weakly compatible maps. Third section deals ... This paper consists four sections. First section is central to the text. In second section, we generalize the results of Kohli and Vashistha [1] for pairs of mappings using weakly compatible maps. Third section deals the results for pair of weakly compatible maps along with property (E.A.) using different types of control functions, which generalize the results of Kohli and Vashistha [1] and Kubiaczyk and Sharma [2]. Fourth section is concerned with results for occasionally weakly compatible maps and generalizes, extends and unifies several well known comparable results in literature. 展开更多
关键词 weakly compatible maps OCCASIONALLY weakly compatible maps PROPERTY (E.A.) Common PROPERTY (E.A.)
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Some Common Fixed Point Theorems for Four Mappings in Dislocated Metric Space 被引量:1
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作者 Dinesh Panthi Kumar Subedi 《Advances in Pure Mathematics》 2016年第10期695-712,共18页
In this article, we establish some common fixed point theorems for two pairs of weakly compatible mappings with (E. A.) and (CLR) property in dislocated metric space which generalize and extend some similar results in... In this article, we establish some common fixed point theorems for two pairs of weakly compatible mappings with (E. A.) and (CLR) property in dislocated metric space which generalize and extend some similar results in the literature. 展开更多
关键词 Dislocated Metric weakly compatible maps Common Fixed Point
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Some Integral Type Fixed Point Theorems in Dislocated Metric Space 被引量:1
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作者 Dinesh Panthi Panda Sumati Kumari 《American Journal of Computational Mathematics》 2016年第2期88-97,共10页
In this article, we establish a common fixed point theorem satisfying integral type contractive condition for two pairs of weakly compatible mappings with E. A. property and also generalize Theorem (2) of B.E. Rhoades... In this article, we establish a common fixed point theorem satisfying integral type contractive condition for two pairs of weakly compatible mappings with E. A. property and also generalize Theorem (2) of B.E. Rhoades [1] in dislocated metric space. 展开更多
关键词 Dislocated Metric weakly compatible maps Common Fixed Point
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完备度量空间中一类平方型压缩映象的公共不动点定理 被引量:1
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作者 余静 谷峰 《信阳师范学院学报(自然科学版)》 CAS 2011年第4期436-439,451,共5页
在完备度量空间中,利用自映象对的相容和次相容性条件,讨论了一类平方型压缩映象的公共不动点的存在性和唯一性,证明了一个新的公共不动点定理.本文结果改进和发展了Kenan、Mustafa和Brican的相关结果.
关键词 相容映象 次相容映象 平方型压缩映象 公共不动点.
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度量空间中六个映象的一个新的公共不动点定理 被引量:1
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作者 余静 谷峰 《杭州师范大学学报(自然科学版)》 CAS 2011年第5期393-398,共6页
在完备度量空间中,利用自映象对的相容和次相容性条件,讨论了一类-型压缩映象的公共不动点的存在性和唯一性问题,证明了一个新的公共不动点定理.文章结果改进和发展了Jungck,Diviccaro和Ses-sa,Kang,Cho和Jungck以及Ding的相关结果.
关键词 公共不动点 相容映象 次相容映象
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Coincidence and Common Fixed Point of Weakly Compatible Maps in Fuzzy Metric Space
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作者 Saurabh Manro Sumitra   《Applied Mathematics》 2014年第9期1335-1348,共14页
The aim of this paper is to establish some new common fixed point theorems for generalized contractive maps in fuzzy metric space by using property (E.A.), common property (E.A.), JCLRST property and CLRS property. Ou... The aim of this paper is to establish some new common fixed point theorems for generalized contractive maps in fuzzy metric space by using property (E.A.), common property (E.A.), JCLRST property and CLRS property. Our results improve and extend the results of Chauhan et al. [1] and Sedghi et al. [2] besides several known results. We also furnish an illustrative example in support of our results. 展开更多
关键词 FM-Space weakly compatible maps CLRg PROPERTY PROPERTY (E.A.) The COMMON PROPERTY (E.A.) JCLRST PROPERTY and COMMON Fixed Point
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Fixed Point Theorem for Maps Satisfying a General Contractive Condition of Integral Type
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作者   Sumitra Saurabh Manro 《Advances in Pure Mathematics》 2014年第3期82-88,共7页
The aim of this paper is to prove common fixed point theorems for variants of weak compatible maps in a complex valued-metric space. In this paper, we generalize various known results in the literature using (CLRg) pr... The aim of this paper is to prove common fixed point theorems for variants of weak compatible maps in a complex valued-metric space. In this paper, we generalize various known results in the literature using (CLRg) property. The concept of (CLRg) does not require a more natural condition of closeness of range. 展开更多
关键词 weakly compatible maps (CLRg) PROPERTY COMMON Fixed Point
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锥度量空间中四个自映射的公共不动点定理 被引量:1
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作者 陈盼 孔伟铭 杨理平 《广东工业大学学报》 CAS 2014年第4期79-84,共6页
在完备的锥度量空间中讨论了4个自映射的公共不动点定理,其存在性和唯一性得到证明.所得主要结果将锥度量空间中的公共不动点定理进行了推广.
关键词 锥度量空间 自映射 公共不动点 弱相容映射
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弱相容映象的公共不动点定理(英文)
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作者 李付成 谷峰 《杭州师范大学学报(自然科学版)》 CAS 2011年第3期193-198,222,共7页
在完备度量空间中,证明了弱相容自映象的公共不动点的存在性和唯一性,改进和推广了文献[1]中的定理3.3及度量空间中的一些已知结果.
关键词 度量空间 相容映象 弱相容映象 公共不动点
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相容和弱相容映射的几个新的公共不动点定理
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作者 葛仁福 方锦暄 《南京师大学报(自然科学版)》 CAS CSCD 北大核心 2009年第4期29-35,共7页
证明了Menger空间上相容和弱相容映射在-压缩条件下的两个新的公共不动点定理.作为它们的推论,还得到了度量空间上相容和弱相容映射的两个有趣的不动点定理.
关键词 MENGER空间 ф-压缩 相容映射 弱相容映射 公共不动点
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关于一对集值映象和两对单值映象的公共不动点定理(英文)
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作者 余静 谷峰 《杭州师范大学学报(自然科学版)》 CAS 2012年第2期151-156,共6页
该文的主要目的是,对于一类严格压缩条件,在不具有紧性和不使用连续性的条件下,建立了一对集值映象和两对单值映象的公共不动点定理.定理推广和改进了一些现有文献的相应结果.
关键词 弱相容映象 D-映象 单值和集值映象 公共不动点
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直觉模糊半度量空间中的一个公共不动点定理
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作者 兰尧尧 李庆国 《模糊系统与数学》 CSCD 北大核心 2011年第3期48-56,共9页
讨论在一个非线性压缩条件下,直觉模糊半度量空间中的一个公共不动点定理。
关键词 直觉模糊半度量 不动点 弱相容映射 不相容映射
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Common Fixed Point Results for Occasionally Weakly Compatible Maps in G-Symmetric Spaces
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作者 Kanayo Stella Eke Johnson Olaleru 《Applied Mathematics》 2014年第4期744-752,共9页
The notion of a G-symmetric space is introduced and the common fixed points for some pairs of occasionally weakly compatible maps satisfying some contractive conditions in a G-symmetric space are proved. The results e... The notion of a G-symmetric space is introduced and the common fixed points for some pairs of occasionally weakly compatible maps satisfying some contractive conditions in a G-symmetric space are proved. The results extend and improve some results in literature. 展开更多
关键词 Common Fixed Points Generalized Contractive MAPPINGS OCCASIONALLY weakly compatible maps compatible maps (E-A) Property G-Symmetric Spaces
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Fixed Point Theorems in Cone Symmetric Spaces
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作者 ZHANG Yi 《Chinese Quarterly Journal of Mathematics》 2015年第2期280-286,共7页
In this paper, some common fixed point theorems for general occasionally weakly compatible selfmaps and non-selfmaps on cone symmetric spaces were proved. The interesting point of this paper is that we do not assume t... In this paper, some common fixed point theorems for general occasionally weakly compatible selfmaps and non-selfmaps on cone symmetric spaces were proved. The interesting point of this paper is that we do not assume that the cone is solid. Our results generalize and complete the corresponding results in [9-15]. 展开更多
关键词 occasionally weakly compatible maps common fixed point cone symmetric space
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b-度量空间中弱相容映象族的公共不动点定理
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作者 李何东 陆竞 谷峰 《杭州师范大学学报(自然科学版)》 CAS 2017年第1期86-93,共8页
在完备b-度量空间的框架下,使用弱相容映象的概念,证明了一些新的公共不动点定理,所得结果推广和改进了度量空间中的一些已有结论.
关键词 b-度量空间 弱相容映象 压缩映象 公共不动点
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