Some new results for Banach contractions and Edelstein contractive mappings on fuzzy metric spaces
作者： Ljubomir Ćirić , None
DOI: 10.1016/J.CHAOS.2008.11.010
关键词: Mathematics 、 Common fixed point 、 Discrete mathematics 、 Pure mathematics 、 Type (model theory) 、 Fuzzy metric space 、 Fuzzy logic 、 General Mathematics
摘要: Abstract The main purpose of this paper is to introduce a new class Banach type fuzzy contractions and present some fixed common point theorems for these mappings, as well the Edelstein locally contractive mappings. Two examples are presented show that our results genuine generalizations many known results.
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sci-hub.se 参考文章(40)
Ivan Kramosil, Jiří Michálek, Fuzzy metrics and statistical metric spaces Kybernetika. ,vol. 11, pp. 336- 344 ,(1975)
Sushil Sharma, Bhavana Deshpande, Common fixed point theorems for finite number of mappings without continuity and compatibility on intuitionistic fuzzy metric spaces Chaos Solitons & Fractals. ,vol. 40, pp. 2242- 2256 ,(2009) , 10.1016/J.CHAOS.2007.10.011
A. George, P. Veeramani, On some results in fuzzy metric spaces Fuzzy Sets and Systems. ,vol. 64, pp. 395- 399 ,(1994) , 10.1016/0165-0114(94)90162-7
G Iovane, G Gargiulo, E Zappale, None, A Cantorian potential theory for describing dynamical systems on El Naschie’s space–time Chaos, Solitons & Fractals. ,vol. 27, pp. 588- 598 ,(2006) , 10.1016/J.CHAOS.2005.05.015
M.S. El Naschie, A REVIEW OF APPLICATIONS AND RESULTS OF E-INFINITY THEORY International Journal of Nonlinear Sciences and Numerical Simulation. ,vol. 8, pp. 11- 20 ,(2007) , 10.1515/IJNSNS.2007.8.1.11
V. M. Sehgal, A. T. Bharucha-Reid, Fixed points of contraction mappings on probabilistic metric spaces Theory of Computing Systems \/ Mathematical Systems Theory. ,vol. 6, pp. 97- 102 ,(1972) , 10.1007/BF01706080
M.B. Ghaemi, Bernardo Lafuerza-Guillen, A. Razani, A common fixed point for operators in probabilistic normed spaces Chaos, Solitons & Fractals. ,vol. 40, pp. 1361- 1366 ,(2009) , 10.1016/J.CHAOS.2007.09.016
Dong Qiu, Lan Shu, Jian Guan, None, Common fixed point theorems for fuzzy mappings under Φ-contraction condition Chaos Solitons & Fractals. ,vol. 41, pp. 360- 367 ,(2009) , 10.1016/J.CHAOS.2008.01.003
R Rezaiyan, YJ Cho, R Saadati, None, A common fixed point theorem in Menger probabilistic quasi-metric spaces Chaos, Solitons & Fractals. ,vol. 37, pp. 1153- 1157 ,(2008) , 10.1016/J.CHAOS.2006.10.007
S. S. Chang, B. S. Lee, Y. J. Cho, Y. Q. Chen, S. M. Kang, J. S. Jung, Generalized contraction mapping principle and differential equations in probabilistic metric spaces Proceedings of the American Mathematical Society. ,vol. 124, pp. 2367- 2376 ,(1996) , 10.1090/S0002-9939-96-03289-3