### Linear Functional Equations. Operator Approach

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Volume 34 Volume 33 Volume 32 Volume 31 Volume 30 Volume 29 Volume 28 Volume 27 Bahyrycz, A. Bulletin of the Iranian Mathematical Society , 42 4 , Bulletin of the Iranian Mathematical Society , 42, 4, , Bulletin of the Iranian Mathematical Society , ; 42 4 : Ulam asked in The first result giving answer to this question is due to D. Subsequently, his result was extended and generalized in several ways. Namely, we show, under some weak natural assumptions, that functions satisfying the above equation approximately in some sense must be actually solutions to it.

Aoki, On the stability of the linear transformation in Banach spaces, J. Japan 2 Bahyrycz and M. Piszczek, Hyperstability of the Jensen functional equation, Acta Math. Bouikhalene and E. Bourgin, Approximately isometric and multiplicative transformations on continuous function rings, Duke Math. Chudziak and Zs. Pales, A fixed point approach to stability of functional equations, Nonlinear Anal.

Fosner, Remarks on the stability of Lie homomorphisms, J. Cieplinski, Hyperstability and Superstability, Abstr. Cadariu and V.

## A fixed point approach to stability of functional equations

Pure Appl. Daroczy, K.

Lajko, R. Lovas, Gy. Maksa and Zs. Pales, Functional equations involving means, Acta Math. Daroczy, Gy. Pales, Functional equations involving means and their Gauss composition, Proc. Gajda, On stability of additive mappings, Int. Gavruta, An answer to a question of John M. Gilanyi and Zs.

## STABILITY OF THE JENSEN'S FUNCTIONAL EQUATION IN MULTI-FUZZY NORMED SPACES

Pales, On Dinghas-type derivatives and convex functions of higher order, Real Anal. Gselmann, Hyperstability of a functional equation, Acta Math. Hyers, On the stability of the linear functional equation, Proc. USA 27 Jarczyk and M. Sablik, Duplicating the cube and functional equations, Results Math. Kominek, On a local stability of the Jensen functional equation, Demonstratio Math. Take action to avoid this condition. The distributed array mldivide is unable to check for this condition.

A modified version of this example exists on your system. Do you want to open this version instead? Choose a web site to get translated content where available and see local events and offers. Based on your location, we recommend that you select:. Select the China site in Chinese or English for best site performance. Other MathWorks country sites are not optimized for visits from your location.

## A fixed point approach to stability of functional equations — Hungarian Consortium

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Trial Software Product Updates. Examples collapse all System of Equations.

Open Live Script. Linear System with Singular Matrix. Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. Warning: Matrix is singular to working precision. Least-Squares Solution of Underdetermined System. Linear System with Sparse Matrix. Input Arguments collapse all A , B — Operands vectors full matrices sparse matrices. Output Arguments collapse all x — Solution vector full matrix sparse matrix. Algorithms collapse all The versatility of mldivide in solving linear systems stems from its ability to take advantage of symmetries in the problem by dispatching to an appropriate solver.

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Algorithm for Full Inputs The flow chart below shows the algorithm path when inputs A and B are full.