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Common Fixed Points of Nonlinear Contractions

Acta Mathematica Hungarica, 1998
In der vorliegenden Arbeit werden Paare von Selbstabbildungen eines vollständigen metrischen Raumes betrachtet und hinreichende Bedingungen vom Kontraktionstyp angegeben, die die Existenz und Unität eines gemeinsamen Fixpunktes sichern. Ist \(\Phi\) die Menge aller Funktionen \(\varphi:[0,\infty)\to[0,\infty)\), die rechtsseitig stetig sowie nicht ...
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A question on common fixed points

1999
The authors give a partial answer to the following problem: Let \(X\) be a compact space with the fixed point property and \({\mathcal F}\) a family of continuous mappings from \(X\) to \(X\) such that \(|{\mathcal F}|\geq{\mathfrak c}\). In which conditions on \({\mathcal F}\) and \(X\) there is a subfamily \({\mathcal F}_0\subset{\mathcal F}\) of ...
CAMMAROTO, Filippo, MATVEEV M. V.
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Common supports as fixed points

Geometriae Dedicata, 1996
A family \({\mathcal S}\) of subsets of \(\mathbb{R}^d\) is called by the authors sundered if, for any way of choosing a point from \(r (\leq d + 1)\) members of \({\mathcal S}\), the chosen \(r\) points are affinely independent. The authors mention that this is equivalent to being \((d - 1)\)-separated as defined by \textit{S. Cappell}, \textit{J.
Lewis, Ted   +2 more
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A common fixed point theorem

Publicationes Mathematicae Debrecen, 2022
The following interesting theorem, extending several earlier known results, is proved. Let S and T be commuting self-maps of the complete metric space (X,d) satisfying the inequality \[ d(Sx,Ty)\leq c \max \{d(x,y),d(x,Sx),d(y,Ty),d(x,Ty),d(y,Sx\quad)\} \] for all x,y\(\in X\), where ...
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Split common fixed point and common null point problem

Mathematical Methods in the Applied Sciences, 2017
In this paper, we present a new algorithm for solving the split common null point and common fixed point problem, to find a point that belongs to the common element of common zero points of an infinite family of maximal monotone operators and common fixed points of an infinite family of demicontractive mappings such that its image under a linear ...
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Lattices of Fixed Points of Fuzzy Galois Connections

Mathematical Logic Quarterly, 2001
Radim Belohlavek
exaly  

On common fixed points of two mappings

Mathematics Seminar Notes, 1977
Kasahara, Shouro, Ray, Barada K.
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Fixed-points and uniqueness of meromorphic functions

Computers and Mathematics With Applications, 2010
Junfeng Xu, Hong-Xun Yi
exaly  

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