Results 141 to 150 of about 2,907,082 (156)

On Common Fixed Points

gmj, 2002
Abstract Some fixed point theorems based on an asymptotic regularity condition have been obtained, which generalize the previously well-known results.
Liu, Zeqing, Khan, M. S., Pathak, H. K.
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COMMON FIXED POINT THEOREM FOR SIX MAPPINGS

South East Asian J. of Mathematics and Mathematical Sciences, 2022
In this paper we shall obtain a common fixed point of six mappings in a metric space which extend the results proved in {[10], [11], [24]}.
Roy, Kakali, Tiwary, Kalishankar
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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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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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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, von Hohenbalken, Balder, Klee, Victor   +2 more
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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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A Common Fixed Point Theorem with Applications

Journal of Optimization Theory and Applications, 2013
Let \(X\) be a nonempty compact convex subset of a locally convex Hausdorff topological vector space. The main result is that a family \(\{T_i: X\rightrightarrows X\}_{i\in I}\) of closed set-valued mappings with nonempty convex values has a common fixed point if, for each nonempty finite subset \(J\) of the index set \(I\), the mapping \(S_J: X ...
Agarwal, R. P., Balaj, M., O'Regan, D.
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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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