Three problems of S. M. Ulam with solutions and generalizations
G. S. Stoller (1976)
Colloquium Mathematicae
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G. S. Stoller (1976)
Colloquium Mathematicae
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Taneli Huuskonen, Jussi Väısälä (2002)
Studia Mathematica
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The best constant in the Hyers-Ulam theorem on isometric approximation in Hilbert spaces is equal to the Jung constant of the space.
Li, Yongjin, Hua, Liubin (2009)
Banach Journal of Mathematical Analysis [electronic only]
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Jin Rong Wang, Michal Fečkan (2017)
Mathematica Bohemica
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In this paper, we offer a new stability concept, practical Ulam-Hyers-Rassias stability, for nonlinear equations in Banach spaces, which consists in a restriction of Ulam-Hyers-Rassias stability to bounded subsets. We derive some interesting sufficient conditions on practical Ulam-Hyers-Rassias stability from a nonlinear functional analysis point of view. Our method is based on solving nonlinear equations via homotopy method together with Bihari inequality result. Then we consider nonlinear...
Nakmahachalasint, Paisan (2007)
International Journal of Mathematics and Mathematical Sciences
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Jung, Soon-Mo (2007)
Abstract and Applied Analysis
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Bidkham, M., Mezerji, H.A.Soleiman, Gordji, M.Eshaghi (2010)
Abstract and Applied Analysis
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Kim, Byungbae, Jung, Soon-Mo (2007)
Journal of Inequalities and Applications [electronic only]
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Jung, Soon-Mo (2007)
Fixed Point Theory and Applications [electronic only]
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Jung, Soon-Mo, Brzdȩk, Janusz (2010)
Abstract and Applied Analysis
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Jung, Soon-Mo, Min, Seungwook (2009)
Fixed Point Theory and Applications [electronic only]
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Castro, L.P., Ramos, A. (2008)
Banach Journal of Mathematical Analysis [electronic only]
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Wang, Jian (2003)
International Journal of Mathematics and Mathematical Sciences
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Jung, Soon-Mo, Lee, Zoon-Hee (2008)
Fixed Point Theory and Applications [electronic only]
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