Some new approaches to modular and fuzzy metric and related best proximity results

Paknazar M.; De La Sen M.

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Some new approaches to modular and fuzzy metric and related best proximity results

机译：模块化和模糊度量和相关最佳邻近结果的一些新方法

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摘要

By using current methods of best proximity point theory we can not establish and prove best proximity point results in modular metric spaces. For this purpose, we introduce the notion of PD-modular metric spaces and then we establish some best proximity point theorems for certain new contraction mappings. As an application of the obtained results we establish some best proximity point results in fuzzy metric spaces. Examples are furnished to demonstrate the validity of the obtained results. (c) 2020 Elsevier B.V. All rights reserved.

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《Fuzzy sets and systems》 |2020年第jul1期|138-159|共22页
作者
Paknazar M.; De La Sen M.;
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作者单位

Farhangian Univ Dept Math Educ Tehran Iran;

Univ Basque Country Bilbao Spain;

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收录信息美国《科学引文索引》(SCI);美国《工程索引》(EI);
原文格式 PDF
正文语种 eng
中图分类
关键词
PD-modular metric; Best proximity point;

机译：PD模块度量;最佳接近点;

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1. Best proximity point results for Theta-contraction in modular metric and fuzzy metric spaces [J] . Nawab Hussain, Hamed H.Al-Sulami, Ghada Ali Bulletin of Mathematical Analysis and Applications . 2020,第4期

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2. On contractive cyclic fuzzy maps in metric spaces and some related results on fuzzy best proximity points and fuzzy fixed points [J] . Manuel De la Sen, Antonio F Roldn, Ravi P Agarwal Fixexd point theory and applications . 2015,第1期

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3. On Optimal Fuzzy Best Proximity Coincidence Points of Proximal Contractions Involving Cyclic Mappings in Non-Archimedean Fuzzy Metric Spaces [J] . Manuel De la Sen, Mujahid Abbas, Naeem Saleem Mathematics . 2017,第2期

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4. The Banach Contraction Principle in Fuzzy Quasi-metric Spaces and in Product Complexity Spaces: Two Approaches to Study the Cost of Algorithms with a Finite System of Recurrence Equations [C] . Francisco Castro-Company, Salvador Romaguera, Pedro Tirado Computational intelligence . 2010

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5. Proximity metrics for contextual pattern recognition [D] . Tembe, Waibhav 2004

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6. On optimal fuzzy best proximity coincidence points of fuzzy order preserving proximal Ψ(σ α)-lower-bounding asymptotically contractive mappings in non-Archimedean fuzzy metric spaces [O] . Manuel De la Sen, Mujahid Abbas, Naeem Saleem -1

机译：关于非Archimedean模糊度量空间中保近邻Ψ（σα）-下界渐近收缩映射的模糊阶的最优模糊最佳接近重合点
7. On optimal fuzzy best proximity coincidence points of fuzzy order preserving proximal Ψ(σ, α)-lower-bounding asymptotically contractive mappings in non-Archimedean fuzzy metric spaces [O] . Manuel De la Sen, Mujahid Abbas, Naeem Saleem 2016

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Some new approaches to modular and fuzzy metric and related best proximity results

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