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2001
T. Hicks in [128] considered another notion of probabilistic contraction mapping than probabilistic q-contraction, which is incomparable with probabilistic q-contraction, [262]. In section 5.1 two types of generalizations of Hick’s notion of C-contraction is introduced and some fixed point theorems for these new classes of mappings are proved.
Olga Hadžić, Endre Pap
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T. Hicks in [128] considered another notion of probabilistic contraction mapping than probabilistic q-contraction, which is incomparable with probabilistic q-contraction, [262]. In section 5.1 two types of generalizations of Hick’s notion of C-contraction is introduced and some fixed point theorems for these new classes of mappings are proved.
Olga Hadžić, Endre Pap
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A stochastic contraction principle
Random Operators and Stochastic Equations, 2007The authors provide conditions under which the equation \(\xi(T\omega)=f(\omega,\xi(\omega))\) (a.s.) has a solution in the class of measurable mappings \(\xi\colon \Omega\to X\). Equations of such type arise in connection with various questions of the theory of random dynamical systems (see \textit{L.
Evstigneev, I. V., Pirogov, S. A.
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Relation-theoretic contraction principle
Journal of Fixed Point Theory and Applications, 2015Let \(X\) be a complete metric space, \({\mathcal R}\) be a binary relation over \(X\) and \(T:X\to X\) be a selfmap. The following is the main result of this paper. {Theorem.} Let us consider the conditions {\parindent=6mm \begin{itemize} \item[(i)] \(X(T,{\mathcal R})\) is nonempty \item [(ii)] \({\mathcal R}\) is \(T\)-closed \item [(iii)] either ...
Alam, Aftab, Imdad, Mohammad
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Article 76 PRINCIPLES OF AWARDING CONTRACTS
2021Member States shall put in place national rules for the award of contracts subject to this Chapter in order to ensure contracting authorities comply with the principles of transparency and equal treatment of economic operators. Member States are free to determine the procedural rules applicable as long as such rules allow contracting authorities to ...
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The Banach Contraction Principle
2019In this case, it is readily seen that there exists the smallest value \(\lambda \) for which the inequality holds, called the Lipschitz constant of f.
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Fundamental Principles of China’s Contract Law
1999Columbia Journal of Asian Law, Vol. 13 No. 1 (1999)
Liming, Wang, Chuanxi, Xu
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