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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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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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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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On common fixed points of two mappings
Mathematics Seminar Notes, 1977Kasahara, Shouro, Ray, Barada K.
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Fixed point theorems for -contractive type mappings
Nonlinear Analysis: Theory, Methods & Applications, 2012Calogero Vetro +2 more
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Coupled fixed point, $F$-invariant set and fixed point of $N$-order
Annals of Functional Analysis, 2010Calogero Vetro, Bessem Samet
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A Generalization of b-Metric Space and Some Fixed Point Theorems
Mathematics, 2017Tayyab Kamran, Maria Samreen
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On common fixed points and commuting mappings
Mathematics Seminar Notes, 1977Tewari, B. M. L., Singh, S. L.
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