FIXED POINT THEOREMS IN QUASI-METRIC SPACES AND APPLICATIONS TO MULTIDIMENSIONAL FIXED POINT THEOREMS ON G-METRIC SPACES

Agarwal Ravi; Karapinar Erdal; Roldan-Lopez-De-Hierro Antonio-Francisco

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FIXED POINT THEOREMS IN QUASI-METRIC SPACES AND APPLICATIONS TO MULTIDIMENSIONAL FIXED POINT THEOREMS ON G-METRIC SPACES

机译：拟度量空间中的不动点定理及其在G度量空间上的多维不动点定理中的应用

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In this manuscript, we investigate the equivalence of the coupled fixed point theorems in quasi-metric spaces and in G-metric spaces. We also notice that coupled fixed point theorems in the setting of G-metric spaces can be derived from their corresponding versions in quasi-metric spaces. Our results generalize and unify several fixed point theorems in the context of G-metric spaces in the literature.

机译：在本文中，我们研究了拟度量空间和G度量空间中耦合不动点定理的等价性。我们还注意到，G度量空间设置中的耦合不动点定理可以从它们在准度量空间中的对应版本中得出。我们的研究结果概括并统一了文献中G-度量空间中的几个不动点定理。

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《Journal of nonlinear and convex analysis》 |2015年第9期|共30页
作者
Agarwal Ravi; Karapinar Erdal; Roldan-Lopez-De-Hierro Antonio-Francisco;
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正文语种 eng
中图分类数学;
关键词
G-metric space; quasi-metric; fixed point; contractive mapping; mixed monotone property; partially ordered set;

机译：G-度量空间;准-度量;不动点;压缩映射;混合单调性质;偏序集;

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专利

1. FIXED POINT THEOREMS IN QUASI-METRIC SPACES AND APPLICATIONS TO MULTIDIMENSIONAL FIXED POINT THEOREMS ON G-METRIC SPACES [J] . Agarwal Ravi, Karapinar Erdal, Roldan-Lopez-De-Hierro Antonio-Francisco Journal of nonlinear and convex analysis . 2015,第9期

机译：拟度量空间中的不动点定理及其在G度量空间上的多维不动点定理中的应用
2. Fixed Point Theorems on Intuitionistic Fuzzy Quasi-metric Spaces and Applications [J] . Bhavana Deshpande, Sushil Sharma, Amrish Handa The Journal of fuzzy mathematics . 2014,第1期

机译：直觉模糊拟度量空间上的不动点定理及其应用
3. FIXED POINT THEOREMS IN GENERAL QUASI-METRIC SPACES AND APPLICATIONS [J] . Shih-sen Chang, Nan-jing Huang, Yeol Je Cho Mathematica Japonicae . 1995,第3期

机译：一般拟度量空间中的不动点定理及其应用
4. APPLICATION OF THE BANACH FIXED POINT THEOREM ON FUZZY QUASI-METRIC SPACES TO STUDY THE COST OF ALGORITHMS WITH TWO RECURRENCE EQUATIONS [C] . Francisco Castro-Company, Salvador Romaguera, Pedro Tirado International Conference on Fuzzy Computation . 2010

机译：Banach固定点定理在模糊准度量空间中的应用，以两个复发方程研究算法成本
5. Fixed point and ergodic theorems for nonexpansive mappings on ultrametric Banach spaces. [D] . Farrier, Sandra N. 2005

机译：超度量Banach空间上非膨胀映射的不动点定理和遍历定理。
6. Some fixed point theorems for mappings satisfying rational inequality in modular metric spaces with applications [O] . Godwin Amechi Okeke, Daniel Francis, Manuel de la Sen 2020

机译：映射的一些固定点定理令人满意的应用程序令人理解不等式与应用程序的模块化空间
7. A fixed point theorem for preordered complete fuzzy quasi-metric spaces and an application [O] . Francisco Castro-Company, Salvador Romaguera, Pedro Tirado 2014

机译：序完全模糊拟度量空间的不动点定理及其应用

FIXED POINT THEOREMS IN QUASI-METRIC SPACES AND APPLICATIONS TO MULTIDIMENSIONAL FIXED POINT THEOREMS ON G-METRIC SPACES

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