Schauder-Tychonoff Fixed-Point Theorem in Theory of Superconductivity [PDF]
Journal of Function Spaces and Applications, 2013 We study the existence of mild solutions to the time-dependent Ginzburg-Landau ((TDGL), for short) equations on an unbounded interval. The rapidity of the growth of those solutions is characterized.
Mariusz Gil, Stanisław Wędrychowicz
doaj +2 more sources
Schauder Fixed Point Theorem in Spaces with Global Nonpositive Curvature [PDF]
Fixed Point Theory and Applications, 2009 The Schauder fixed point theorem is extended to the context of metric spaces with global nonpositive curvature. Some applications are included.
Niculescu ConstantinP +1 more
doaj +5 more sources
Fixed point theorems in locally convex spaces—the Schauder mapping method [PDF]
Fixed Point Theory and Applications, 2006 In the appendix to the book by F. F. Bonsal, Lectures on Some Fixed Point Theorems of Functional Analysis (Tata Institute, Bombay, 1962) a proof by Singbal of the Schauder-Tychonoff fixed point theorem, based on a locally convex variant of Schauder ...
S. Cobzaş
doaj +3 more sources
A Schauder-type fixed point theorem
Journal of Mathematical Analysis and Applications, 2014 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
T A Burton
exaly +4 more sources
The Schauder fixed point theorem in geodesic spaces
Journal of Mathematical Analysis and Applications, 2014 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
David Ariza-Ruiz +2 more
exaly +2 more sources
Schauder-Type Fixed Point Theorem in Generalized Fuzzy Normed Linear Spaces
Mathematics, 2020 In the present article, the Schauder-type fixed point theorem for the class of fuzzy continuous, as well as fuzzy compact operators is established in a fuzzy normed linear space (fnls) whose underlying t-norm is left-continuous at (1,1).
S. Chatterjee, T. Bag, Jeong-Gon Lee
doaj +3 more sources
Applications of Schauder's Fixed-point theorem with respect to iterated functional equations
Applied Mathematics Letters, 2001 The problem of existence and uniqueness of continuous solutions of the following iterative functional equation \[ G\bigl[ f^{n_0} (x), \dots,f^{n_k}(x) \bigr]= F(x),\;x\in[a,b],\tag{1} \] where \(G\) and \(F\) are known functions and \(f\) denotes the \(n\)th iteration of \(f\), is investigated.
Zeqing Liu, Shin Min Kang
exaly +2 more sources
Existence and uniqueness of neutral functional differential equations with sequential fractional operators. [PDF]
PLoS ONEIn this research paper, we investigate the existence and uniqueness of solutions for neutral functional differential equations with sequential fractional orders, specifically involving the [Formula: see text]-Caputo operator.
Rabah Debbar +4 more
doaj +2 more sources
On extremal fixed points in Schauder's theorem with applications to differential equations
Bulletin of the Belgian Mathematical Society - Simon Stevin, 2004 The author derives necessary and sufficient conditions for the existence of a least and a greatest fixed point of an operator which satisfies the hypothesis of Schauder's fixed point theorem. The main result is the following Theorem. Let \(N\) be an ordered normed space, \(D\subset N\) a non-empty, bounded, closed and convex subset and \(T\colon D ...
exaly +4 more sources
A new generalization of the Schauder fixed point theorem
Mathematische Annalen, 1967 Felix E Browder, Browder Felix E
exaly +2 more sources