| تعداد نشریات | 31 |
| تعداد شمارهها | 834 |
| تعداد مقالات | 8,015 |
| تعداد مشاهده مقاله | 14,855,122 |
| تعداد دریافت فایل اصل مقاله | 9,588,084 |
On Fixed Point Theorems for Contractive-type Mappings in Fuzzy Metric Spaces | ||
| Iranian Journal of Fuzzy Systems | ||
| مقاله 8، دوره 11، شماره 6، اسفند 2014، صفحه 123-130 اصل مقاله (366.15 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22111/ijfs.2014.1752 | ||
| نویسندگان | ||
| D. Qiu* ؛ C. Lu؛ W. Zhang | ||
| College of Mathematics and Physics, Chongqing University of Posts and Telecommunications, Nanan, Chongqing, 400065, P. R. China | ||
| چکیده | ||
| In this paper, we provide two different kinds of fixed point theorems in fuzzy metric spaces. The first kind is for the fuzzy $\varepsilon$-contractive type mappings and the second kind is for the fuzzy order $\psi$-contractive type mappings. They improve the corresponding conclusions in the literature. | ||
| کلیدواژهها | ||
| Contractive type mappings؛ Fixed point theorems؛ Fuzzy metric spaces | ||
| مراجع | ||
|
\bibitem{Ab2007} H. Abu-Donia, {\it Common fixed point theorems for mappings in metric space under $\phi$-contraction condition}, Chaos, Soliton Fract., {\bf 34}\textbf{(1)} (2007), 538--543. \bibitem{A} T. Altun and D. Mihe$\c{t}$, {\it Ordered non-archimedean fuzzy metric spaces and some fixed point results}, Fixed Point Theory Appl., Article ID 782680, 2010. \bibitem{Ba2006} T. Bag and S. Samanta, {\it Fixed point theorems on fuzzy normed linear spaces}, Information Sciences, {\bf 176}\textbf{(2)} (2006), 2910--2931. \bibitem{Ba2007} T. Bag and S. Samanta, {\it Some fixed point theorems in fuzzy normed linear spaces}, Information Sciences, {\bf 177}\textbf{(4)} (2007), 3271--3289. \bibitem{Geo1994} A. George and P. Veeramani, {\it On some results in fuzzy metric spaces}, Fuzzy Sets and Systems, {\bf 64}\textbf{(2)} (1994), 395--399. \bibitem{Geo1997} A. George and P. Veeramani, {\it On some results of analysis for fuzzy metric spaces}, Fuzzy Sets and Systems, {\bf 90}\textbf{(2)} (1997), 365--368. \bibitem{Ghi2003} B. Ghil and K. Kim, {\it Continuity of functions defined on the space of fuzzy sets}, Information Sciences, {\bf 157}\textbf{(1)} (2003), 155--165. \bibitem{Grb1989} M. Grabiec, {\it Fixed points in fuzzy metric spaces}, Fuzzy Sets and Systems, {\bf 27}\textbf{(2)} (1989), 385--389. \bibitem{Gre2000} V. Gregori and S. Romaguera, {\it Some properties of fuzzy metric spaces}, Fuzzy Sets and Systems, {\bf 115}\textbf{(2)} (2000), 485--489 . \bibitem{Gre2002} V. Gregori and S. Romaguera, {\it On completion of fuzzy metric spaces}, Fuzzy Sets and Systems, {\bf 130}\textbf{1} (2002), 399--404. \bibitem{Gre2010} V. Gregori, S. Morillas and A. Sapena, {\it On a class of completable fuzzy metric spaces}, Fuzzy Sets and Systems, {\bf 161}\textbf{(5)} (2010), 2193--2205. \bibitem{Hua2007} H. Huang and C. Wu, {\it On the triangle inequalities in fuzzy metric spaces}, Information Sciences, {\bf 177}\textbf{(2)} (2007), 1063--1072. \bibitem{Kal1984} O. Kaleva, and S. Seikkala, {\it On fuzzy metric spaces}, Fuzzy Sets and Systems, {\bf 12}\textbf{(1)} (1984), 215--229. \bibitem{Kle2000book} E. Klement, R. Mesiar and E. Pap, {\it Triangular norms}, Kluwer, Dordrecht, 2000. \bibitem{Kra1975} I. Kramosil and J. Michalek, {\it Fuzzy metric and statistical metric spaces}, Kybernetika, {\bf 11}\textbf{(2)} (1975), 326--334. \bibitem{Men1942} K. Menger, {\it Statistical metrics}, Proc. Natl. Acad. Sci. USA, {\bf 28}\textbf{(1)} (1942), 535--537. \bibitem{M} D. Mihe$\c{t}$, {\it On fuzzy $\varepsilon$-contractive mappings in fuzzy metric spaces}, Fixed Point Theory Appl., Article ID 87471, 2007. \bibitem{M2008} D. Mihe$\c{t}$, {\it Fuzzy $\phi$-contractive mappings in non-Archimedean fuzzy metric spaces}, Fuzzy Sets and Systems, {\bf 159}\textbf{(4)} (2008), 739--744. \bibitem{Pu1986} M. Puri and D. Ralescu, {\it Fuzzy random variables}, J Math Anal Appl., {\bf 114}\textbf{(2)} (1986), 409--422. \bibitem{Qiu2008} D. Qiu, L. Shu and G. Jian, {\it Common fixed point theorems for fuzzy mappings under $\phi$-contraction condition}, Chaos Soliton Fract., {\bf 41}\textbf{(1)} (2009), 360--367. \bibitem{R} A. Razani, {\it A contraction theorem in fuzzy metric spaces}, Fixed Point Theory Appl., {\bf 3}\textbf{(1)} (2005), 257--265. \bibitem{Saa2008} R. Saadati, {\it On the L-fuzzy topological spaces}, Chaos Soliton Fract., {\bf 37}\textbf{(3)} (2008), 1419--1426. \bibitem{Za1965} L. A. Zadeh, {\it Fuzzy sets}, Information and Control, {\bf 8}\textbf{(2)} (1965), 338--353. \bibitem{Zha2007} X. Zhang, {\it Common fixed point theorems for some new generalized contractive type mappings}, J Math Anal Appl., {\bf 333}\textbf{(3)} (2007), 780--786. | ||
|
آمار تعداد مشاهده مقاله: 2,458 تعداد دریافت فایل اصل مقاله: 1,790 |
||