摘要
Contraction mapping theorem and its application is often encountered different fields of pure and applied mathematics. In this work, three aims are achieved, which are first of introducing and presenting the basic and fundamental necessary concepts for partial fuzzy metric spaces. The second aim is to state and prove two fuzzy contraction mapping theorems in fuzzy partial metric spaces based on the contractive mapping theorem by using the suggested metric function that is defined over fuzzy points rather than fuzzy sets. Also, we present in this paper, as the third aim, the relationship between the usual distance function defined in fuzzy metric spaces and the distance function defined over partial metric space, which are defined using fuzzy points.
延伸閱讀
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- Pant, V. (2009). Some Fixed Point Theorems in Fuzzy Metric Space. Tamkang Journal of Mathematics, 40(1), 59-65. https://www.airitilibrary.com/Article/Detail?DocID=00492930-200903-201210250013-201210250013-59-65
- Mishra, U., Ranadive, A. S., & Gopal, D. (2008). Some Fixed Point Theorems in Fuzzy Metric Space. Tamkang Journal of Mathematics, 39(4), 309-316. https://www.airitilibrary.com/Article/Detail?DocID=00492930-200812-200911130020-200911130020-309-316
- Kumam, P., Rouzkard, F., Imdad, M., & Gopal, D. (2013). Fixed Point Theorems on Ordered Metric Spaces through a Rational Contraction. Abstract and Applied Analysis, 2013(), 664-672-170. https://doi.org/10.1155/2013/206515
- Sharma, S., & Tilwankar, P. (2011). Some Fixed Point Theorems in Intuitionistic Fuzzy Metric Spaces. Tamkang Journal of Mathematics, 42(4), 405-414. https://www.airitilibrary.com/Article/Detail?DocID=00492930-201112-201202150007-201202150007-3-12