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Article type: Research Article
Authors: Mursaleen, M. | Mohiuddine, S.A. | Danish Lohani, Q.M. | Khan, M. Farhan
Affiliations: Department of Mathematics, Aligarh Muslim University, Aligarh, India | Faculty of Science, Department of Mathematics, King Abdulaziz University, Jeddah, Saudi Arabia | Department of Mathematics, South Asian University, New Delhi, India | Department of Electronics Engineering, Z. H. College of Engg. & Tech., Aligarh Muslim University, Aligarh, India
Note: [] Corresponding author. M. Mursaleen, Department of Mathematics, Aligarh Muslim University, Aligarh 202002, India. E-mails: mursaleenm@gmail.com (M. Mursaleen); mohiuddine@gmail.com (S.A. Mohiuddine); danishlohani@gmail.com (Q.M. Danish Lohani); farhan7787@gmail.com (M. Farhan Khan).
Abstract: In this paper we define and study continuity, boundedness and Fréchet differentiation of nonlinear operators between fuzzy 2-normed spaces (FTNS). We also display here some interesting examples.
Keywords: t-norm, fuzzy mapping, fuzzy set, fuzzy 2-normed space, nonlinear operator, Fréchet derivative
DOI: 10.3233/IFS-120709
Journal: Journal of Intelligent & Fuzzy Systems, vol. 25, no. 4, pp. 1043-1051, 2013
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