Abstract
A sequential implicit function theorem for the method of chords was proved in the paper cited in the title. In this paper we add to this theorem a statement regarding the Lipschitz continuity of the mapping involved together with a sketch of proof.
References
[1] Nedelcheva, D.: A sequential implicit function theorem for the chords iteration, Math. Slovaca 63(5) (2013), 1085–1100. 10.2478/s12175-013-0157-7Suche in Google Scholar
Received: 2015-9-6
Accepted: 2016-4-1
Published Online: 2018-2-9
Published in Print: 2018-2-23
© 2018 Mathematical Institute Slovak Academy of Sciences
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Artikel in diesem Heft
- On the number of cycles in a graph
- Characterization of posets for order-convergence being topological
- Classification of posets using zero-divisor graphs
- On a generalized concept of order relations on B(H)
- A study of stabilizers in triangle algebras
- Revealing two cubic non-residues in a quadratic field locally
- Codensity and stone spaces
- Big mapping class groups are not acylindrically hyperbolic
- Applications of Henstock-Kurzweil integrals on an unbounded interval to differential and integral equations
- Starlike and convex functions with respect to symmetric conjugate points involving conical domain
- Summations of Schlömilch series containing anger function terms
- Some vector valued sequence spaces of Musielak-Orlicz functions and their operator ideals
- Nuclear operators on Cb(X, E) and the strict topology
- More on cyclic amenability of the Lau product of Banach algebras defined by a Banach algebra morphism
- Matrix generalized (θ, ϕ)-derivations on matrix Banach algebras
- Nonlinear ∗-Jordan triple derivations on von Neumann algebras
- Addendum to “A sequential implicit function theorem for the chords iteration”, Math. Slovaca 63(5) (2013), 1085–1100
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- Rational homotopy of maps between certain complex Grassmann manifolds
- Examples of random fields that can be represented as space-domain scaled stationary Ornstein-Uhlenbeck fields
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