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A Novel Application of the Classical Banach Fixed Point Theorem

International Journal of Applied and Computational Mathematics, 2016
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Banach Spaces and Fixed-Point Theorems

1995
In a Banach space, the so-called norm $$ \parallel u\parallel = nonnegativenumber \hfill \\ $$ is assigned to each element u. This generalizes the absolute value |u of a real number u. The norm can be used in order to define the convergence $$ \mathop {\lim }\limits_{n \to \infty } {u_n} = u \hfill \\ $$ by means of $$ \mathop {\lim ...
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On a probabilistic generalization of Banach's fixed point theorem

1977
Artykuł w: Annales Universitatis Mariae Curie-Skłodowska. Sectio A, Mathematica. Vol. 31 (1977), s. 49-53 ; streszcz. pol., ros. ; Artykuł w: Annales Universitatis Mariae Curie-Skłodowska. Sectio A, Mathematica. Vol. 31 (1977), s. 49-53 ; streszcz. pol., ros.
Franke, Martin, Szynal, Dominik (1937- )
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The Banach Fixed Point Theorem. The Concept of Banach Space

1998
As the proper setting for the convergence theorems of subsequent §§, we introduce the concept of a Banach space as a complete normed vector space. The Banach fixed point theorem is discussed in detail.
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Approximate Fixed Point Theorems in Banach Spaces

2016
Let \(\Omega \) be a nonempty convex subset of a topological vector space X. An approximate fixed point sequence for a map \(F: \Omega \longrightarrow \overline{\Omega }\) is a sequence \(\{x_{n}\}_{n} \in \Omega \) so that \(x_{n} - F(x_{n})\longrightarrow \theta\). Similarly, we can define approximate fixed point nets for F. Let us mention that F has
Afif Ben Amar, Donal O’Regan
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On a fixed point theorem on uniformly convex Banach spaces

1982
Let \(K\) be a bounded closed convex subset of a Banach space \(X\), having normal structure (i.e. for every closed convex \(H\subset K\) there is an \(x\in H\) such that \(\sup \{\| y-x\|:y\in H\}
VEERAMANI, P, PAI, DV
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Some fixed point theorem in Banach space

1992
The author gives conditions for the existence of a unique common fixed point of three mappings on a closed convex subset of a Banach space, generalizing results of Browder, Goebel and Zlotkiewicz.
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A fixed point theorem in reflexive Banach spaces

Commentarii mathematici Universitatis Sancti Pauli = Rikkyo Daigaku sugaku zasshi, 1977
Jia-Cherng, Hwang, Mau Hsiang, Shih
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