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Some Fixed Point Theorems in Fuzzy Metric Space
並列摘要
In this paper we prove common fixed point theorems in fuzzy metric spaces employing the notion of reciprocal continuity. Moreover we have to show that in the context of reciprocal continuity the notion of compatibility and semi-compatibility of maps becomes equivalent. Our result improves recent results of Singh & Jain [13] in the sense that all maps involved in the theorems are discontinuous even at common fixed point.
被引用紀錄
Chiang, Y. H. (2005). ASIP 的GCC 移植工具 [master's thesis, National Taiwan University]. Airiti Library. https://doi.org/10.6342/NTU.2005.00407
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