参考文献:1. Guo, D, Lakshmikantham, V (1987) Coupled fixed points of nonlinear operators with applications. Nonlinear Anal. 11: pp. 623-632 CrossRef 2. Berinde, V, Borcut, M (2011) Tripled fixed point theorems for contractive type mappings in partially ordered metric spaces. Nonlinear Anal. 74: pp. 4889-4897 CrossRef 3. Berinde, V (2010) Approximating common fixed points of noncommuting almost contractions in metric spaces. Fixed Point Theory 11: pp. 179-188 4. Borcut, M, Berinde, V (2012) Tripled coincidence theorems for contractive type mappings in partially ordered metric spaces. Appl. Math. Comput. 218: pp. 5929-5936 CrossRef 5. Roldán, A, Martínez-Moreno, J, Roldán, C (2012) Multidimensional fixed point theorems in partially ordered complete metric spaces. J. Math. Anal. Appl. 396: pp. 536-545 CrossRef 6. Berzig, M, Samet, B (2012) An extension of coupled fixed point’s concept in higher dimension and applications. Comput. Math. Appl. 63: pp. 1319-1334 CrossRef 7. Roldń, A, Martínez-Moreno, J, Roldán, C, Cho, YJ (2014) Multidimensional coincidence point results for compatible mappings in partially ordered fuzzy metric spaces. Fuzzy Sets Syst. 251: pp. 71-82 CrossRef 8. Aamri, M, El Moutawakil, D (2002) Some new common fixed point theorems under strict contractive conditions. J. Math. Anal. Appl. 270: pp. 181-188 CrossRef 9. Sintunavarat, W, Kumam, P (2011) Common fixed point theorems for a pair of weakly compatible mappings in fuzzy metric spaces. J. Appl. Math. 2011: CrossRef 10. Mihet, D (2010) Fixed point theorems in fuzzy metric space using E . A $E.A$. Nonlinear Anal. 73: pp. 2184-2188 CrossRef 11. Gnana-Bhaskar, T, Lakshmikantham, V (2006) Fixed point theorems in partially ordered metric spaces and applications. Nonlinear Anal. 65: pp. 1379-1393 CrossRef 12. Roldán, A, Martínez-Moreno, J, Roldán, C (2013) On interrelationships between fuzzy metric structures. Iran. J. Fuzzy Syst. 10: pp. 133-150 13. George, A, Veeramani, PV (1994) On some results in fuzzy metric spaces. Fuzzy Sets Syst. 64: pp. 395-399 CrossRef 14. Grabiec, M (1988) Fixed points in fuzzy metric spaces. Fuzzy Sets Syst. 27: pp. 385-389 CrossRef 15. Rodríguez-López, J, Romaguera, S (2004) The Hausdorff fuzzy metric on compact sets. Fuzzy Sets Syst. 147: pp. 273-283 CrossRef 16. Jain, M, Tas, K, Kumar, S, Gupta, N (2012) Coupled fixed point theorems for a pair of weakly compatible maps along with C L R g $CLR_{g}$ -property in fuzzy metric spaces. J. Appl. Math. 2012: CrossRef 17. Khan, MA, Sumitra, (2012) C L R g $CLRg$ Property for coupled fixed point theorems in fuzzy metric spaces. Int. J. Appl. Phys. Math. 2: pp. 355-358 CrossRef 18. Wairojjana, N, Sintunavarat, W, Kumam, P (2014) Common tripled fixed point theorems for w-compatible mappings along with the C L R g $CLR_{g}$ property in abstract metric spaces. J. Inequal. Appl. 2014: CrossRef
刊物主题:Analysis; Mathematics, general; Applications of Mathematics; Differential Geometry; Topology; Mathematical and Computational Biology;
出版者:Springer International Publishing
ISSN:1687-1812
文摘
In this paper, we extend the concepts of the \(E.A\) -property and the \(CLR_{g}\) -property in fuzzy metric spaces to the setting of multi-dimensional fuzzy metric spaces and show the existence of multi-dimensional coincidence point and fixed point theorems for weakly compatible mappings with the \(E.A\) -property and the \(CLR_{g}\) -property.