Results 1 to 10 of about 375 (53)
A Banach space with a symmetric basis which is of weak cotype 2 but not of cotype 2 [PDF]
arXiv, 2001 We prove that the symmetric convexified Tsirelson space is of weak cotype 2 but not of cotype ...
P. Casazza, N. J. Nielsen
arxiv +3 more sources
Stability and hyperstability of multi-additive-cubic mappings
Miskolc Mathematical Notes, 2021 In this article, we introduce the multi-additive-cubic mappings and then unify the system of functional equations defining a multi-additive-cubic mapping to a single equation.
Ahmad Nejati +2 more
semanticscholar +1 more source
Approximation of homomorphisms and derivations on Lie C∗-algebras via fixed point method
Journal of Inequalities and Applications, 2013 In this paper, using fixed point methods, we prove the generalized Hyers-Ulam stability of homomorphisms in C∗-algebras and Lie C∗-algebras and of derivations on C∗-algebras and Lie C∗-algebras for an m-variable additive functional equation.MSC:39A10 ...
Y. Cho, R. Saadati, Y. Yang
semanticscholar +2 more sources
Journal of Inequalities and Applications, 2012 In this paper, using fixed point methods, we prove the generalized Hyers-Ulam stability of random homomorphisms in random C∗-algebras and random Lie C∗-algebras and of derivations on non-Archimedean random C∗-algebras and non-Archimedean random Lie C ...
J. Kang, R. Saadati
semanticscholar +2 more sources
Euler-Lagrange radical functional equations with solution and stability
, 2020 In this article, we introduce the generalized Euler-Lagrange radical functional equations of type sextic and quintic. Also, we obtain their general solution and investigate the generalized Hyers-Ulam-Rassias stability in modular spaces using fixed point ...
Murali Ramdoss +2 more
semanticscholar +1 more source
The mean ergodic theorem for nonexpansive mappings in multi-Banach spaces
Journal of Inequalities and Applications, 2014 In this paper, we prove a mean ergodic theorem for nonexpansive mappings in multi-Banach spaces.MSC:39A10, 39B72, 47H10, 46B03.
H. M. Kenari, R. Saadati, Y. Cho
semanticscholar +2 more sources
Mean ergodic theorem for semigroups of linear operators in multi-Banach spaces
Journal of Inequalities and Applications, 2014 In this paper, by using Rodé’s method, we extend Yosida’s theorem to semigroups of linear operators in multi-Banach spaces.MSC:39A10, 39B72, 47H10, 46B03.
H. M. Kenari +3 more
semanticscholar +2 more sources
Stability of homomorphisms on fuzzy Lie C∗-algebras via fixed point method
Journal of Inequalities and Applications, 2014 In this paper, first, we define fuzzy C∗-algebras and fuzzy Lie C∗-algebras; then, using fixed point methods, we prove the generalized Hyers-Ulam stability of homomorphisms in fuzzy C∗-algebras and fuzzy Lie C∗-algebras for an m-variable additive ...
J. Vahidi, S. Lee
semanticscholar +2 more sources
Corrigendum to “On Fixed Point Property under Lipschitz and Uniform Embeddings”
Journal of Function Spaces, 2019 In the article titled “On Fixed Point Property under Lipschitz and Uniform Embeddings” [1], there was a missing fund number. e Acknowledgments should be updated as follows: “ e first author was supported by Educational Commission of Hubei Province of ...
Jichao Zhang, Lingxin Bao, L. Su
semanticscholar +1 more source
On Fixed Point Property under Lipschitz and Uniform Embeddings
Journal of Function Spaces, Volume 2018, Issue 1, 2018., 2018 We first present a generalization of ω⁎‐Gâteaux differentiability theorems of Lipschitz mappings from open sets to those closed convex sets admitting nonsupport points and then show that every nonempty bounded closed convex subset of a Banach space has the fixed point property for isometries if it Lipschitz embeds into a super reflexive space. With the
Jichao Zhang +3 more
wiley +1 more source