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Abstract
We introduce some fuzzy set-valued functional equations, i.e. the generalized Cauchy type (in n variables), the Quadratic type, the Quadratic-Jensen type, the Cubic type and the Cubic-Jensen type fuzzy set-valued functional equations and discuss the Hyers-Ulam-Rassias stability of the above said functional equations. These results can be regarded as an important extension of stability results corresponding to single-valued and set-valued functional equations, respectively.
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Details
1 Department of Mathematics, Aligarh Muslim University, Aligarh 202002, India; Operator Theory and Applications Research Group, Faculty of Science, Department of Mathematics, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia
2 Operator Theory and Applications Research Group, Faculty of Science, Department of Mathematics, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia
3 Department of Mathematics, King Khalid University, Abha, Saudi Arabia