Let E₁,E₂ be two Banach spaces, and let f:E₁ → E₂ be a mapping, that is “approximately linear". S. M. Ulam posed the problem: “Give conditions in order for a linear mapping near an approximately linear mapping to exist". The purpose of this paper is to give an answer to Ulam’s problem.
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Themistocles M. Rassias (1978) studied this question.
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