Introduction to Functional Equations

Sahoo, Prasanna K.; Kannappan, Palaniappan

doi:10.1201/b10722

Cited by 122 publications

(70 citation statements)

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“…A lot of information about them (in particular, about their solutions (which are said to be additive and quadratic mappings, respectively) and stability) and their applications can be found for instance in [27,28,35].…”

Section: Introductionmentioning

confidence: 99%

On an equation characterizing multi-additive-quadratic mappings and its Hyers–Ulam stability

Bahyrycz

Ciepliński

Olko

2015

Applied Mathematics and Computation

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Section: Introductionmentioning

confidence: 99%

On an equation characterizing multi-additive-quadratic mappings and its Hyers–Ulam stability

Bahyrycz

Ciepliński

Olko

2015

Applied Mathematics and Computation

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“…The stability of several functional equations has been extensively investigated by a number of authors and there are many interesting results concerning this problem (see e.g. [10,13,15,26,27] and references therein).…”

Section: D(h(x * Y) H(x) H(y)) < δmentioning

confidence: 99%

Stability of Two Types of Cubic Fuzzy Set-Valued Functional Equations

Wang

2015

Results. Math.

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This paper considers the Jensen type cubic fuzzy set-valued functional equation and the n-dimensional cubic fuzzy set-valued functional equation. We establish the Hyers-Ulam stability of these two types of cubic fuzzy set-valued functional equations by using the fixed point method. Our results can be regarded as two extensions of stability results corresponding to single-valued functional equations and set-valued functional equations, respectively.Mathematics Subject Classification. 47H10, 54C60, 39B82.

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“…Ulam's problem and Hyers' result motivated the study of the stability of functional equations. Interested readers should refer to [1,6,[8][9][10][11]17] for an account on stability of functional equations.…”

Section: Introductionmentioning

confidence: 99%