Fixed point theorems for contractive and expansive mappings of Geraghty type on 2-metric spaces

Piao Yong-Jie

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Fixed point theorems for contractive and expansive mappings of Geraghty type on 2-metric spaces

机译：2度量空间上Geraghty类型的伸缩映射的不动点定理

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In this paper, we discuss the unique existence of fixed points for mappings with contractive functions or expansive functions on 2-metric spaces, and give some new versions of the fixed point theorems on real metric spaces. Our results generalize and improve the Banach's contraction principle and some fixed point theorems for expansive mappings on real metric spaces.

机译：在本文中，我们讨论了在2度量空间上具有收缩函数或膨胀函数的映射的不动点的唯一性，并给出了在实度量空间上不动点定理的一些新版本。我们的结果推广并改进了Banach的压缩原理和实测度空间上的扩展映射的一些不动点定理。

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《Advances in Fixed Point Theory》 |2016年第2期|共13页
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Piao Yong-Jie;
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中图分类数学;
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1. Fixed Point Theorems for Geraghty Type Contractive Mappings and Coupled Fixed Point Results in 0-Complete Ordered Partial Metric Spaces [J] . Esra Yolacan International Journal of Analysis . 2016,第1期

机译：0完全有序局部度量空间中的Geraghty型压缩映射的不动点定理和耦合的不动点结果
2. Fixed point theorems of contractive type mappings in a 2-metric space [J] . International mathematical forum . 2009,第33a36期

机译：2 - 公制空间中对收缩型映射的固定点定理
3. A common fixed point theorem for expansive mappings in 2-metric spaces and its application [J] . M.A. Ahmed Chaos, Solitons and Fractals: Applications in Science and Engineering: An Interdisciplinary Journal of Nonlinear Science . 2009,第5期

机译：2度量空间中展开映射的公共不动点定理及其应用
4. Some results on fixed point theorems in complete 2-metric spaces by using expansive mappings [C] . C. Rajesh, B. Baskaran, J. Balamurugan National Conference on Recent Trends in Mathematics its Applications . 2020

机译：通过使用膨胀映射，有些结果在完整的2 - 度量空间中的固定点定理
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. Some fixed point theorems for G-rational Geraghty contractive mappings in ordered generalized b-metric spaces [O] . Abdul Latif, Zoran Kadelburg, Vahid Parvaneh, 2015

机译：有序广义B型度量空间中G-Rational Geraghty收缩映射的一些固定点定理

Fixed point theorems for contractive and expansive mappings of Geraghty type on 2-metric spaces

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