Results 21 to 30 of about 1,320,516 (202)
On Banach contraction principles in fuzzy metric spaces [PDF]
Fixed Point Theory, 2018 Valent´ın Gregori acknowledges the support of Ministry of Economy and Competitiveness of Spain under grant MTM MTM2015-64373-P. Almanzor Sapena acknowledges the support of Ministry of Economy and Competitiveness of Spain under grant TEC2013-45492-R.
Gregori Gregori, Valentín +2 more
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The Banach contraction mapping principle and cohomology [PDF]
, 2000 If \(X\) is a metrizable topological space, \(M(X)\) denotes the set of all compatible metrics on \(X\). In the paper it is proved that if \(X\) is compact and \(T:X\to X\) continuous then \(T\) is a Banach contraction relative to some \(d_1\in M(X)\) if and only if there exists some \(d_2\in M(X)\) which is a coboundary of the system \((X\times X, T ...
Janoš, Ludvík
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New Fixed Point Theorems for θ‐ϕ-Contraction on Rectangular b-Metric Spaces
Abstract and Applied Analysis, 2020 The Banach contraction principle is the most celebrated fixed point theorem and has been generalized in various directions. In this paper, inspired by the concept of θ‐ϕ-contraction in metric spaces, introduced by Zheng et al., we present the notion of θ‐
Abdelkarim Kari +3 more
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An amalgamation of the Banach spaces associated with James and Schreier, Part I : Banach-space structure. [PDF]
, 2010 We create a new family of Banach spaces, the James-Schreier spaces, by amalgamating two important classical Banach spaces: James' quasi-reflexive Banach space on the one hand and Schreier's Banach space giving a counterexample to the Banach-Saks property
Alistair Bird +3 more
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Application of Banach contraction principle to approximate the golden number [PDF]
, 2020 This work is devoted to the application of selected fixed point theorems in the problems of convergence of certain sequences to the golden number. It contains the theorem about the fixed point of so-called ψ-contraction specified on the closed interval ...
Barcz, Eugeniusz, Eugeniusz Barcz
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An extension of Banach’s contraction principle [PDF]
Proceedings of the American Mathematical Society, 1961 1. A. Borel, Seminar on transformation groups, Annals of Mathematics Studies No. 46, Princeton, 1960. 2. G. E. Bredon, Frank Raymond, R. F. Williams, p-adic groups of transformations, to appear in Trans. Amer. Math. Soc. 3. D. Montgomery and L. Zippin, Topological transformation groups, New YorkLondon, Interscience, 1955. 4.
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A Generalization of Banach's Contraction Principle [PDF]
Proceedings of the American Mathematical Society, 1974 Let T : M →
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An application of Ramsey’s Theorem to the Banach Contraction Principle [PDF]
Proceedings of the American Mathematical Society, 2001 One of the most fundamental fixed-point theorems is Banach’s Contraction Principle, of which the following conjecture is a generalization. Generalized Banach Contraction Conjecture (GBCC). Let
Merryfield, James +2 more
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Boundary controllability of impulsive nonlinear fractional delay integro-differential system
Cogent Engineering, 2016 By using the strongly continuous semigroup theory and the Banach contraction principle, we study the boundary controllability of time varying delay impulsive nonlinear fractional integrodifferential system in Banach spaces.
Hamdy M. Ahmed
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A new generalization of the Banach contraction principle [PDF]
Journal of Inequalities and Applications, 2014 Denote by \(\Theta\) the class of all functions \(\theta:(0,\infty)\to (1,\infty)\) satisfying \begin{itemize} \item[(i)] \(\theta\) is non-decreasing, \item[(ii)] \(\theta(t_n)\to 1\) if and only if \(t_n\to 0\), \item[(iii)] \(\exists r\in (0,1)\), \(\exists s\in (0,\infty]\), such that \(\lim_{t\to 0+}(\theta(t)-1)/(t^r)=s\).
Jleli, Mohamed, Samet, Bessem
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