Results 21 to 30 of about 16,666 (188)
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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Abstract and Applied Analysis, 2014 We study Ulam-Hyers stability and the well-posedness of the fixed point problem for new type of generalized contraction mapping, so called α-λ-contraction mapping.
Marwan Amin Kutbi, Wutiphol Sintunavarat
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Demonstratio Mathematica, 2015 In the present paper, we investigate the existence, uniqueness and continuous dependence of mild solutions of an impulsive neutral integro-differential equations with nonlocal condition in Banach spaces. We use Banach contraction principle and the theory
Jain Rupali S., Dhakne M. B.
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Positive Solutions for Nonlinear Integro-Differential Equations of Mixed Type in Banach Spaces
Abstract and Applied Analysis, 2013 We establish some new existence theorems on the positive solutions for nonlinear integro-differential equations which do not possess any monotone properties in ordered Banach spaces by means of Banach contraction mapping principle and cone theory based ...
Yan Sun
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Fixed Point Results for F-Contractive Mappings of Hardy-Rogers-Type [PDF]
, 2014 Recently,Wardowski introduced a new concept of contraction and proved a fixed point theorem which generalizes Banach contraction principle. Following this direction of research, in this paper, we will present some fixed point results of Hardy-Rogers-type
Cosentino, M, VETRO, Pasquale
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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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A Generalisation of Contraction Principle in Metric Spaces
Fixed Point Theory and Applications, 2009 Here we introduce a generalisation of the Banach contraction mapping principle. We show that the result extends two existing generalisations of the same principle. We support our result by an example.
Binayak S. Choudhury, P. N. Dutta
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Fixed-Point Theorems for θ−ϕ-Contraction in Generalized Asymmetric Metric Spaces
International Journal of Mathematics and Mathematical Sciences, 2020 In the last few decades, a lot of generalizations of the Banach contraction principle had been introduced. In this paper, we present the notion of θ-contraction and θ−ϕ-contraction in generalized asymmetric metric spaces to study the existence and ...
Abdelkarim Kari +4 more
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Uniform large deviation principles for Banach space valued stochastic differential equations [PDF]
, 2018 We prove a large deviation principle (LDP) for a general class of Banach space valued stochastic differential equations (SDE) that is uniform with respect to initial conditions in bounded subsets of the Banach space.
Budhiraja, Amarjit +2 more
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Partial answers of the Asadi et al.’s open question on M-metric spaces with numerical results
Arab Journal of Mathematical Sciences, 2018 In 2014, Asadi et al. introduced the concept of an M-metric space which is a generalization of a partial metric space and established Banach and Kannan fixed point theorems on M-metric spaces.
Pathaithep Kumrod, Wutiphol Sintunavarat
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