doi: 10.7763/IJAPM.2014.V4.305
Fixed Points for Subsequential Continuous Mappings in Fuzzy Metric Space
Arihant Jain
1
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- 1 the Department of Applied Mathematics, Shri Guru Sandipani Institute of Technology and Science, Ujjain (M.P.) 456 550 India
- 2 School of Studies in Mathematics, Vikram University, Ujjain (M.P.) India.
- 3 the Department of Mathematics, Govt. Madhav Science College, Ujjain (M.P.) 456010 India.
- 4 the Department of Applied Mathematics, MITM, Ujjain (M.P.) India.
Abstract
In the present paper, first we introduce the notion of subsequential continuous mappings in the framework of fuzzy metric space and show that this concept is more general than continuous mappings as well as reciprocal continuous mappings. Also, we cited an example in support of this. Secondly, we introduce the concept of occasionally weakly compatible mappings which is more general than weakly compatible mappings in fixed point theory. At the end, we prove an interesting common fixed point theorem in fuzzy metric space for four self mappings by employing the notion of subsequential continuity, occasionally weakly compatible mappings and semi-compatible mappings.
Keywords
- Common fixed point
- compatible maps
- continuous t-norm
- fuzzy metric space
- subsequential continuity
- semi-compatible maps and occasionally weakly compatible maps
How to Cite
Arihant Jain, V. H. Badshah, V. K. Gupta, and Arvind Kumar Sharma, "Fixed Points for Subsequential Continuous Mappings in Fuzzy Metric Space," International Journal of Applied Physics and Mathematics, vol. 4, no. 5, pp. 324-331, 2014. https://doi.org/ 10.7763/IJAPM.2014.V4.305
Copyright & License
Copyright © 2014 by the authors. This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).