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Some generalizations of fixed point theorems and common fixed point theorems
Journal of Fixed Point Theory and Applications, 2018zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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1998
We begin by the well-known Banach contraction principle. A mapping f: X → Y from a metric space (X, ρ ) into a metric space (Y, d) is said to be a contraction if there is a number 0 ≤ γ < 1 such that inequality \( d\left( {f\left( x \right),f\left( {x'} \right)} \right) \leqslant \gamma \cdot \rho \left( {x,x'} \right) \) holds, for every pair of ...
Dušan Repovš, Pavel V. Semenov
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We begin by the well-known Banach contraction principle. A mapping f: X → Y from a metric space (X, ρ ) into a metric space (Y, d) is said to be a contraction if there is a number 0 ≤ γ < 1 such that inequality \( d\left( {f\left( x \right),f\left( {x'} \right)} \right) \leqslant \gamma \cdot \rho \left( {x,x'} \right) \) holds, for every pair of ...
Dušan Repovš, Pavel V. Semenov
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A fixed point theorem for self-maps of a complete metric space fulfilling a contractive type condition is presented.
Bhola, Praveen K., Sharma, P. L.
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Bhola, Praveen K., Sharma, P. L.
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Matrix product states and projected entangled pair states: Concepts, symmetries, theorems
Reviews of Modern Physics, 2021J Ignacio Cirac +2 more
exaly
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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Liouville Theorems for Fractional Parabolic Equations
Advanced Nonlinear Studies, 2021Sara Stevano
exaly
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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Optimal Liouville theorems for superlinear parabolic problems
Duke Mathematical Journal, 2021Pavol Quittner
exaly