Following a recent work of Chademan-Mirzapour (1995&1999). we generalize the classical theorems of Jensen, Bernstein-Doetsch, Ostrowski, Blumberg-Sierpinski and Mehdi on approximately midconvex functions in real vactor spaces to approximately midconvex functions on topological groups. We define also ? -Wright-convexity in topological groups and prove a theorem on it.
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