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A contractive type fixed point theorem for a mapping \(f: X\times X\to X\), \(X\) a compact metric space, is proved.
Bhola, P. K., Sharma, P. L.
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Bhola, P. K., Sharma, P. L.
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Strong convergence theorems for equilibrium problems and fixed point problems in Banach spaces
Journal of Fixed Point Theory and Applications, 2018D. Hieu, J. Strodiot
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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 ...
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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 ...
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Some Generalizations of Fixed-Point Theorems on S-MetricSpaces
, 2016N. Özgür, N. Taş
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Various generalizations of metric spaces and fixed point theorems
, 2015T. An +3 more
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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.
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FIXED POINT THEOREMS FOR MEIR-KEELER CONDENSING OPERATORS VIA MEASURE OF NONCOMPACTNESS ∗
, 2015A. Aghajani +2 more
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