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Mathematics
Volume 8
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10.3390/math8020297
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Article

Some Fixed Point Theorems of Ćirić Type in Fuzzy Metric Spaces

by
Dušan Rakić
1,
Tatjana Došenović
1,
Zoran D. Mitrović
2,3,*,
Manuel de la Sen
4,* and
Stojan Radenović
5
1
Faculty of Technology, Bulevar Cara Lazara 1, University of Novi Sad, 21000 Novi Sad, Serbia
2
Nonlinear Analysis Research Group, Ton Duc Thang University, Ho Chi Minh City 700000, Vietnam
3
Faculty of Mathematics and Statistics, Ton Duc Thang University, Ho Chi Minh City 700000, Vietnam
4
Institute of Research and Development of Processes IIDP, University of the Basque Country, Campus of Leioa, 48940 Leioa, Bizkaia, Spain
5
Faculty of Mechanical Engineering, University of Belgrade, Kraljice Marije 16, 11120 Belgrade 35, Serbia
*
Authors to whom correspondence should be addressed.
Mathematics 2020, 8(2), 297; https://doi.org/10.3390/math8020297
Submission received: 3 January 2020 / Revised: 18 February 2020 / Accepted: 19 February 2020 / Published: 21 February 2020
(This article belongs to the Section D2: Operations Research and Fuzzy Decision Making)
Versions Notes

Abstract

The main aim of the current paper is the investigation of possibilities for improvements and generalizations contractive condition of Ćirić in the fuzzy metric spaces. Various versions of fuzzy contractive conditions are studied in two directions. First, motivated by recent results, more general contractive conditions in fuzzy metric spaces are achieved and secondly, quasi-contractive type of mappings are investigated in order to obtain fixed point results with a wider class of t-norms.
Keywords: fixed point; fuzzy metric space; t-norm; quasi-contractive mapping fixed point; fuzzy metric space; t-norm; quasi-contractive mapping

Share and Cite

MDPI and ACS Style

Rakić, D.; Došenović, T.; Mitrović, Z.D.; de la Sen, M.; Radenović, S. Some Fixed Point Theorems of Ćirić Type in Fuzzy Metric Spaces. Mathematics 2020, 8, 297. https://doi.org/10.3390/math8020297

AMA Style

Rakić D, Došenović T, Mitrović ZD, de la Sen M, Radenović S. Some Fixed Point Theorems of Ćirić Type in Fuzzy Metric Spaces. Mathematics. 2020; 8(2):297. https://doi.org/10.3390/math8020297

Chicago/Turabian Style

Rakić, Dušan, Tatjana Došenović, Zoran D. Mitrović, Manuel de la Sen, and Stojan Radenović. 2020. "Some Fixed Point Theorems of Ćirić Type in Fuzzy Metric Spaces" Mathematics 8, no. 2: 297. https://doi.org/10.3390/math8020297

APA Style

Rakić, D., Došenović, T., Mitrović, Z. D., de la Sen, M., & Radenović, S. (2020). Some Fixed Point Theorems of Ćirić Type in Fuzzy Metric Spaces. Mathematics, 8(2), 297. https://doi.org/10.3390/math8020297

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