%0 Journal Article %T Additive maps preserving the fixed points of Jordan products of operators %J Wavelet and Linear Algebra %I Vali-e-Asr university of Rafsanjan %Z 2383-1936 %A Hosseinzadeh, Roja %D 2022 %\ 11/01/2022 %V 9 %N 1 %P 31-36 %! Additive maps preserving the fixed points of Jordan products of operators %K Preserver problem %K Fixed point %K Jordan product %R 10.22072/wala.2022.540575.1349 %X Let $\mathcal{B(X)}$ be the algebra of all bounded linear operators on a complex Banach space $\mathcal{X}$. In this paper, we determine the form of a surjective additive map $\phi: \mathcal{B(X)} \rightarrow \mathcal{B(X)}$ preserving the fixed points of Jordan products of operators, i.e., $F(AoB) \subseteq F(\phi(A) o\phi(B))$, for every $A,B \in \mathcal{B(X)}$, where $AoB=AB+BA$, and $F(A)$ denotes the set of all fixed points of operator $A$. %U https://wala.vru.ac.ir/article_697932_5239814b6e4a1f9ff9f18b7a715520e0.pdf