On two conditional Pexider functional equations and their stabilities

## Mathematics

### Journal of Generalized Lie Theory and Applications

Author(s): Justyna Sikorska

We solve conditional Pexider functional equations on prescribed sets being generalizations of spheres, or defined for vectors satisfying a generalized James orthogonality condition, namely, we solve the conditional equations of the form

or

with a given function γ and unknown functions f,g,h.

Moreover, we study the stability problems for these equations, both in the sense of Hyers and Ulam, and in the sense of Bourgin.

This article was published in Nonlinear Analysis: Theory, Methods & Applications and referenced in Journal of Generalized Lie Theory and Applications

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