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Random fixed point theorem in generalized Banach space and applications
, 2016Moulay Larbi Sinacer +2 more
semanticscholar +1 more source
2018
In Sect. 5.1, we discuss the Banach’s contraction mapping theorem and some consequences of this theorem. We also deal with contractive mappings considered by Edelstein [212] and certain generalizations of contraction mapping theorem, mainly the ones obtained by Boyd and Wongs [75], Kannan [308, 309], Reich [509] and Husain and Sehgal [283] and others ...
openaire +2 more sources
In Sect. 5.1, we discuss the Banach’s contraction mapping theorem and some consequences of this theorem. We also deal with contractive mappings considered by Edelstein [212] and certain generalizations of contraction mapping theorem, mainly the ones obtained by Boyd and Wongs [75], Kannan [308, 309], Reich [509] and Husain and Sehgal [283] and others ...
openaire +2 more sources
1994
The following fixed point theorem in a complete metric space is proved: Let \((X,d)\) be a bounded complete metric space and let \(T\) be a continuous mapping of \(X\) into itself. Let \(\varphi: \mathbb{R}_+^5\to \mathbb{R}_+\) be nondecreasing in each variable and let \(T\) satisfy the following condition for \(x\neq y\): \[ d(Tx,Ty)< \varphi\{d(x,Tx)
Tiwary, Kalishankar, Singh, G. N.
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The following fixed point theorem in a complete metric space is proved: Let \((X,d)\) be a bounded complete metric space and let \(T\) be a continuous mapping of \(X\) into itself. Let \(\varphi: \mathbb{R}_+^5\to \mathbb{R}_+\) be nondecreasing in each variable and let \(T\) satisfy the following condition for \(x\neq y\): \[ d(Tx,Ty)< \varphi\{d(x,Tx)
Tiwary, Kalishankar, Singh, G. N.
openaire +2 more sources
A Fixed Point Theorem for Generalized F-Contractions on Complete Metric Spaces
, 2015N. Dung, VO Thi LE Hang
semanticscholar +1 more source
Verification of the Crooks fluctuation theorem and recovery of RNA folding free energies
Nature, 2005Felix Ritort, Christopher Jarzynski
exaly