Uniqueness of Common Fixed Points for a Family of Mappings with Φ-Contractive Condition in 2-Metric Spaces

Yong-Jie Piao

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Uniqueness of Common Fixed Points for a Family of Mappings with Φ-Contractive Condition in 2-Metric Spaces

机译：2度量空间中带有Φ压缩条件的映象族的公共不动点的唯一性

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In this paper, we will introduce a class of 5-dimensional functions Φ and prove that a family of self-mappings {Ti,j} iεN in 2-metric space have an unique common fixed point if 1) {Ti,j} iεN satisfies Φj-contractive condition, where ΦjεΦ, for each jεN ; 2) Tm,μ n,v for all m,n,μ,vεN with μ ≠ v . Our main result generalizes and unifies many known unique common fixed point theorems in 2-metric spaces.

机译：在本文中，我们将介绍一类5维函数Φ，证明如果1）{Ti，j}iεN，则2度量空间中的自映射{Ti，j}iεN族具有唯一的公共不动点。满足Φj压缩条件，其中ΦjεΦ，每个jεN; 2）对于所有m，n，μ，vεN的Tm，μn，v，μ≠v。我们的主要结果归纳并统一了2公尺空间中许多已知的唯一公共不动点定理。

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《Applied Mathematics》 |2012年第1期|共5页
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Yong-Jie Piao;
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1. New unique common fixed points for an infinite family of mappings with Φ-contractive or ψ-φ-contractive conditions on 2-metric spaces [J] . Piao Yongjie Advances in Fixed Point Theory . 2015,第4期

机译：2公制空间上具有Φ压缩或ψ-φ压缩条件的无穷映射族的新的唯一公共不动点
2. Unique common fixed points for a infinite family of mappings with implicit contractive conditions of integral types on 2-metric spaces [J] . Piao Yongjie Advances in Inequalities and Applications . 2018,第16期

机译：2度量空间上具有整数类型隐式收缩条件的无穷映射族的唯一公共不动点
3. Four Mappings Satisfying Ψ-Contractive Type Condition and Having Unique Common Fixed Point on 2-Metric Spaces [J] . Hailan Jin, Yongjie Piao Advances in Pure Mathematics . 2013,第2期

机译：满足Ψ压缩型条件且在2度量空间上具有唯一的公共不动点的四个映射
4. Common Fixed Point Theorems in 2-Metric Spaces Using Composition of Mappings via A-Contractions [C] . J. Suresh Goud, P. Rama Bhadra Murthy, Ch. Achi Reddy, International Conference on Advances in Mathematical Sciences . 2018

机译：使用映射组成的2度空间中的共同定点定理，通过A收缩
5. Fixed point theorems for pseudo-contractive mappings in Banach spaces. [D] . Ul-Haq, Irfan. 1998

机译：Banach空间中伪压缩映射的不动点定理。
6. Common coupled fixed point theorems satisfying rational type contractive conditions in b-metric spaces [O] . Muhammad Sarwar, Saddam Hussain, Panda Sumati Kumari -1

机译：b-度量空间中满足有理类型收缩条件的公共耦合不动点定理
7. Uniqueness of Common Fixed Points for a Family of Mappings with <i>Φ</i>-Contractive Condition in 2-Metric Spaces [O] . Yong-Jie Piao 2012

机译：2度量空间中具有iΦ/ i压缩条件的映射族的公共不动点的唯一性

Uniqueness of Common Fixed Points for a Family of Mappings with Φ-Contractive Condition in 2-Metric Spaces

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