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Some Fixed Point Theorems in Fuzzy Metric Space
並列摘要
The aim of the present paper is to extend the study of noncompatible maps in fuzzy metric space by using the notion of R-weak commutativity of type (Ag) in fuzzy metric space. Simultaneously, we provide an answer in fuzzy metric space, perhaps maiden, to the problem of Rhoades (page 243, [18]). We also define an analogue to the recently introduced concept of Property (E.A) by Aamri and Moutawakil [1] and then compare the results obtained by using the Property (E.A) to those obtained by using the notion of noncompatibility.
延伸閱讀
- Jleli, M., KarapJnar, E., & Samet, B. (2013). Further Remarks on Fixed-Point Theorems in the Context of Partial Metric Spaces. Abstract and Applied Analysis, 2013(), 315-320-935. https://doi.org/10.1155/2013/715456
- Lin, I. J., Du, W. S., & Zheng, Q. F. (2014). Some New Fixed Point Theorems in Complex Valued G-Metric Spaces. Abstract and Applied Analysis, 2014(), 925-930-291. https://doi.org/10.1155/2014/259502
- Qiu, D., Lu, C., Zhang, W., & Mo, Y. (2013). On Common Fixed Point Theorems in the Stationary Fuzzy Metric Space of the Bounded Closed Sets. Abstract and Applied Analysis, 2013(), 249-259-1326. https://doi.org/10.1155/2013/951259
- Zhu, J., Wang, Y., & Kang, S. (2013). Common Fixed Point Theorems of New Contractive Conditions in Fuzzy Metric Spaces. Journal of Applied Mathematics, 2013(), 475-483-045. https://doi.org/10.1155/2013/145190
- Jiao, Z. H. (2012). On Fixed Point Theorems in Intuitionistic Fuzzy Metric Spaces. Journal of Applied Mathematics, 2012(), 670-678-347. https://doi.org/10.1155/2012/474983