Suzuki-type of common fixed point theorems in fuzzy metric spaces-Reference-Cited by-同舟云学术

Suzuki-type of common fixed point theorems in fuzzy metric spaces

Published:2018-03-31 Issue:2 Volume:68 Page:451-462
ISSN:1337-2211
Container-title:Mathematica Slovaca
language:en
Short-container-title:

Author:

Sedghi Shaban¹,Shobkolaei Nabi²,Došenović Tatjana³,Radenović Stojan⁴⁵

Affiliation:

1. Department of Mathematics Qaemshahr Branch , Islamic Azad University Qaemshahr , Qaemshahr , Iran

2. Department of Mathematics Babol Branch , Islamic Azad University Babol , Babol , Iran

3. Faculty of Technology Bulevar cara Lazara 1 University of Novi Sad , Novi Sad , Serbia

4. Nonlinear Analysis Research Group Ton Duc Thang University , Ho Chi Minh City , Vietnam

5. Department of Mathematics and Statistics , Ton Duc Thang University , Ho Chi Minh City , Vietnam

Abstract

Abstract In this paper by using of Suzuki-type approach we introduce the new contractive condition in the framework of non-Archimedean fuzzy metric spaces. We prove also the corresponding coincidence fixed point theorem for two mappings in this framework. Finally, two examples are presented to verify the effectiveness and applicability of our main results.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Link

https://www.degruyter.com/document/doi/10.1515/ms-2017-0115/pdf

Reference30 articles.

1. Banach, S.: Sur les opérations dans les ensembles abstraits et leur application aux équations intégrales, Fund. Math. 3 (1922), 133–181.10.4064/fm-3-1-133-181

2. Edelstein, M.: On fixed and periodic point under contractive mappings, J. Lond. Math. Soc. 37 (1962), 74–79.

3. Djorić D.—Kadelburg, Z.—Radenović S.: Edelstein-Suzuki-type fixed point results in metric and abstract metric spaces, Nonlinear Anal. 75 (2012), 1927–1932.10.1016/j.na.2011.09.046

4. George, A.—Veeramani, P.: On some result in fuzzy metric space, Fuzzy Sets and Systems 64 (1994), 395–399.10.1016/0165-0114(94)90162-7

5. Gregori, V.—Sapena, A.: On fixed-point theorem in fuzzy metric spaces, Fuzzy Sets and Systems 125 (2002), 245–252.10.1016/S0165-0114(00)00088-9

Cited by 20 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Fixed-point results for fuzzy generalized β-F-contraction mappings in fuzzy metric spaces and their applications;Fixed Point Theory and Algorithms for Sciences and Engineering;2023-06-12

2. Fixed-Point Theorems for Nonlinear Contraction in Fuzzy-Controlled Bipolar Metric Spaces;Axioms;2023-04-19

3. Fixed points which belong to the set of unit values of a suitable function on fuzzy metric spaces;Applied General Topology;2023-04-05

4. Common Fixed Point Results for Suzuki Type Contractions on Partial Metric Spaces with an Application;Cumhuriyet Science Journal;2023-03-26

5. Some new characterizations and results for fuzzy contractions in fuzzy $ b $-metric spaces and applications;AIMS Mathematics;2023