An Extension of the Contraction Principle [PDF]
Journal of Theoretical Probability, 2004 The ``contraction principle'' is about large deviations; the basic definitions figure in [\textit{A. Dembo} and \textit{O. Zeitouni}, ``Large deviation techniques and applications''. 2nd ed. (1998; Zbl 0896.60013)]. Its statement is (C). Let \((X_{n})\) satisfy the large deviation principle with good rate function \(I\) (defined on the metric space \({\
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Generalized contraction principle under relatively weaker contraction in partial metric spaces
Advances in Difference Equations, 2019 In this paper, we introduce the concept of a generalized weak (ϕ,R) $(\phi,\mathcal{R})$-contraction and employ this to prove some fixed point results for self-mappings in partial metric spaces endowed with a binary relation R $\mathcal{R}$.
Atiya Perveen +2 more
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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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Generalized contraction principle
International Journal of Mathematics and Mathematical Sciences, 1983 Fixed point theorems are proved for contraction maps on M-convex spaces.
Dipak Chatterjee
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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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A generalization of contraction principle
International Journal of Mathematics and Mathematical Sciences, 1981 In this paper, a generalized mean value contraction is introduced. This contraction is an extension of the contractions of earlier researchers and of the generalized mean value non-expansive mapping.
K. M. Ghosh
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Krasnoselskii's theorem in generalized Banach spaces and application
Electronic Journal of Qualitative Theory of Differential Equations, 2012 The purpose of this paper is to extend Krasnoselskii's fixed point theorem to the case of generalized Banach spaces for singlevalued and multivalued operators.
I. R. Petre, Adrian Petrusel
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A discrete fixed point theorem of Eilenberg as a particular case of the contraction principle
Fixed Point Theory and Applications, 2004 We show that a discrete fixed point theorem of Eilenberg is equivalent to the restriction of the contraction principle to the class of non-Archimedean bounded metric spaces.
Jacek Jachymski
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Boundary value problems for nonlinear fractional differential equations and inclusions with nonlocal and fractional integral boundary conditions [PDF]
Opuscula Mathematica, 2013 This paper studies the boundary value problem of nonlinear fractional differential equations and inclusions of order \(q \in (1,2]\) with nonlocal and integral boundary conditions.
Sotiris K. Ntouyas
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Generalizations of Banach's contraction principle and Kannan and Chatterjea's theorems for cyclic and non-cyclic mappings [PDF]
Journal of Mahani Mathematical Research, 2023 Two interesting extensions of Banach contraction principle to mappings that don't to be continuous, are Kannan and Chatterjea's theorems. Before this, in the cyclical form, extensions of these two theorems and Banach contraction principle were ...
Akram Safari-Hafshejani
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