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Environmental dynamics shape human learning: change points versus random walks
Foucault C, Weber LA, Hunt L.
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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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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, 2022In 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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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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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, 1998In 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, 1996A 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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Split common fixed point and common null point problem
Mathematical Methods in the Applied Sciences, 2017In 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, 2013Let \(X\) 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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