AbstractLet E1 be a real normed vector space and E2 a real Banach space. S. M. Ulam posed the problem: When does a linear mapping near an approximately linear mapping ƒ: E1 ↦ E2 exist? We give a new generalized solution to this problem. An example illustrates when the answer to this question is negative. The behaviour of bounded approximately additive mappings which do not satisfy Hyers-UIam stability is also investigated
In 1940 and 1964, Ulam proposed the general problem: “When is it true that by changing a little the ...
In 1940, S. M. Ulam proposed at the University of Wisconsin the problem: "Give conditions in order f...
In 1941 D.H. Hyers solved the well-known Ulam stability problem for linear mappings. In 1951 D.G. Bo...
AbstractLet E1 be a real normed vector space and E2 a real Banach space. S. M. Ulam posed the proble...
AbstractAssume A is a normed linear space, B is a Banach space, and f: A → B is a mapping “approxima...
In 1940 S.M. Ulam proposed the famous Ulam stability problem. In 1941 D.H. Hyers solved this prob-le...
AbstractIn 1940 S.M. Ulam proposed the famous Ulam stability problem. In 1941 D.H. Hyers solved this...
AbstractIn this paper we prove a generalization of the stability of approximately additive mappings ...
AbstractIn 1940 S.M. Ulam proposed the famous Ulam stability problem. In 1941 D.H. Hyers solved the ...
AbstractIn 1940 S. M. Ulam proposed at the University of Wisconsin theproblem: “Give conditions in o...
AbstractWe give an answer to a problem of G. Isac and Th. M. Rassias concerning Hyers–Ulam–Rassias s...
mapping near an approximately linear mapping to exist". According to P. M. Gru-ber (Trans. Amer...
Hyers and Ulam proved a stability result for convex functions, defined in a subset of W . Here we gi...
AbstractIn 1941 Hyers solved the well-known Ulam stability problem for linear mappings. In 1951 Bour...
In this paper, we prove the Hyers-Ulam stability of the following function inequalities:in Banach sp...
In 1940 and 1964, Ulam proposed the general problem: “When is it true that by changing a little the ...
In 1940, S. M. Ulam proposed at the University of Wisconsin the problem: "Give conditions in order f...
In 1941 D.H. Hyers solved the well-known Ulam stability problem for linear mappings. In 1951 D.G. Bo...
AbstractLet E1 be a real normed vector space and E2 a real Banach space. S. M. Ulam posed the proble...
AbstractAssume A is a normed linear space, B is a Banach space, and f: A → B is a mapping “approxima...
In 1940 S.M. Ulam proposed the famous Ulam stability problem. In 1941 D.H. Hyers solved this prob-le...
AbstractIn 1940 S.M. Ulam proposed the famous Ulam stability problem. In 1941 D.H. Hyers solved this...
AbstractIn this paper we prove a generalization of the stability of approximately additive mappings ...
AbstractIn 1940 S.M. Ulam proposed the famous Ulam stability problem. In 1941 D.H. Hyers solved the ...
AbstractIn 1940 S. M. Ulam proposed at the University of Wisconsin theproblem: “Give conditions in o...
AbstractWe give an answer to a problem of G. Isac and Th. M. Rassias concerning Hyers–Ulam–Rassias s...
mapping near an approximately linear mapping to exist". According to P. M. Gru-ber (Trans. Amer...
Hyers and Ulam proved a stability result for convex functions, defined in a subset of W . Here we gi...
AbstractIn 1941 Hyers solved the well-known Ulam stability problem for linear mappings. In 1951 Bour...
In this paper, we prove the Hyers-Ulam stability of the following function inequalities:in Banach sp...
In 1940 and 1964, Ulam proposed the general problem: “When is it true that by changing a little the ...
In 1940, S. M. Ulam proposed at the University of Wisconsin the problem: "Give conditions in order f...
In 1941 D.H. Hyers solved the well-known Ulam stability problem for linear mappings. In 1951 D.G. Bo...
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