Geodesic
Orthogonal constant mappings in isosceles orthogonal spaces
Kragujevac Journal of Mathematics, Tome 29 (2006) no. 1
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In this paper we introduce the notion of orthogonally constant mapping in an isosceles orthogonal space and establish stability of orthogonally constant mappings. As an application, we discuss the orthogonal stability of the Pexiderized quadratic equation $f(x+y)+g(x+y)=h(x)+k(y)$. 
@article{KJM_2006_29_1_a12,
     author = {Madjid Mirzavaziri and Mohammad Sal Moslehian},
     title = {Orthogonal constant mappings in isosceles orthogonal spaces},
     journal = {Kragujevac Journal of Mathematics},
     pages = {133 - 140},
     year = {2006},
     volume = {29},
     number = {1},
     zbl = {1144.46305},
     url = {http://geodesic.mathdoc.fr/item/KJM_2006_29_1_a12/}
}
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Madjid Mirzavaziri; Mohammad Sal Moslehian. Orthogonal constant mappings in isosceles orthogonal spaces. Kragujevac Journal of Mathematics, Tome 29 (2006) no. 1. http://geodesic.mathdoc.fr/item/KJM_2006_29_1_a12/