Generalized Hyers-Ulam-Rassias theorem in Menger probabilistic normed spaces.
Gordji, M.Eshaghi, Ghaemi, M.B., Majani, H. (2010)
Discrete Dynamics in Nature and Society
Similarity:
Gordji, M.Eshaghi, Ghaemi, M.B., Majani, H. (2010)
Discrete Dynamics in Nature and Society
Similarity:
Roh, Jaiok, Chang, Ick-Soon (2008)
Abstract and Applied Analysis
Similarity:
Yunbai Dong (2015)
Colloquium Mathematicae
Similarity:
Let X,Y be real Banach spaces and ε > 0. Suppose that f:X → Y is a surjective map satisfying | ∥f(x)-f(y)∥ - ∥x-y∥ | ≤ ε for all x,y ∈ X. Hyers and Ulam asked whether there exists an isometry U and a constant K such that ∥f(x) - Ux∥ ≤ Kε for all x ∈ X. It is well-known that the answer to the Hyers-Ulam problem is positive and K = 2 is the best possible solution with assumption f(0) = U0 = 0. In this paper, using the idea of Figiel's theorem on nonsurjective isometries, we give a new...
Wang, Jian (2003)
International Journal of Mathematics and Mathematical Sciences
Similarity:
Gordji, M.Eshaghi, Ghaemi, M.B., Majani, H., Park, C. (2010)
Journal of Inequalities and Applications [electronic only]
Similarity:
Jung, Soon-Mo, Lee, Zoon-Hee (2008)
Fixed Point Theory and Applications [electronic only]
Similarity:
Cădariu, Liviu, Radu, Viorel (2009)
Fixed Point Theory and Applications [electronic only]
Similarity:
Park, Choonkil (2007)
Fixed Point Theory and Applications [electronic only]
Similarity:
Cho, In Goo, Kang, Dongseung, Koh, Heejeong (2010)
Journal of Inequalities and Applications [electronic only]
Similarity:
G. S. Stoller (1976)
Colloquium Mathematicae
Similarity:
Mohamadi, M., Cho, Y.J., Park, C., Vetro, P., Saadati, R. (2010)
Journal of Inequalities and Applications [electronic only]
Similarity:
Park, Choonkil (2010)
Abstract and Applied Analysis
Similarity:
Park, Choonkil, An, Jong Su (2008)
Fixed Point Theory and Applications [electronic only]
Similarity:
Lee, Jung Rye, Kim, Ji-Hye, Park, Choonkil (2010)
Fixed Point Theory and Applications [electronic only]
Similarity: