Results 31 to 40 of about 12,676 (312)
Mapping Overlapping Commuting-to-Work Areas [PDF]
ISSN:1744 ...
Killer, Veronika, Axhausen, Kay W.
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Some Generalizations of Jungck's Fixed Point Theorem
We are going to generalize the Jungck's fixed point theorem for commuting mappings by mean of the concepts of altering distance functions and compatible pair of mappings, as well as, by using contractive inequalities of integral type and contractive ...
J. R. Morales, E. M. Rojas
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Commuting Traces of Multiadditive Mappings
Let \(R\) be a prime ring. The problem of determining those \(n\)-additive maps \(M\colon R^n\to R\) whose trace is commuting (that is, \([M(x,\dots,x),x]=0\) for all \(x\in R\)) was solved for \(n=1\) [J. Algebra 156, No. 2, 385-394 (1993; Zbl 0773.16017)] and \(n=2\) [Trans. Am. Math. Soc. 335, No.
Lee, P.-H +3 more
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A Common Fixed Point Theorem in D*-Metric Spaces
We give some new definitions of D*-metric spaces and we prove a common fixed point theorem for a class of mappings under the condition of weakly commuting mappings in complete D∗-metric spaces.
Haiyun Zhou +2 more
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Operators with smooth functional calculi
We introduce a class of (tuples of commuting) unbounded operators on a Banach space, admitting smooth functional calculi, that contains all operators of Helffer-Sj\"ostrand type and is closed under the action of smooth proper mappings.
Andersson, Mats +2 more
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Let \(R\) be a ring and \(S\) a nonempty subset of \(R\). A map \(f\colon S\to R\) is called commuting on \(S\) if \(f(x)x=xf(x)\) for all \(x\in S\). This paper is a wide-ranging and accessible survey dealing with commuting maps and related maps on various classes of rings, including prime and semiprime rings, Banach algebras, and \(C^*\)-algebras ...
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Common coincidence points of R-weakly commuting maps
A common coincidence point theorem for R-weakly commuting mappings is obtained. Our result extend several ones existing in literature.
Tayyab Kamran
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Solutions of Adler's lattice equation associated with 2-cycles of the Backlund transformation
The BT of Adler's lattice equation is inherent in the equation itself by virtue of its multidimensional consistency. We refer to a solution of the equation that is related to itself by the composition of two BTs (with different Backlund parameters) as a ...
Adler V E +14 more
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Commutativity preserving maps revisited
The author refines some results of \textit{K. I. Beidar} and \textit{Y.-F. Lin} [Proc. R. Soc. Edinb., Sect. A, Math. 134, No. 6, 1023-1040 (2004; Zbl 1074.16019)] on the structure of commutativity preserving maps. Given any additive map of rings \(\alpha\colon A\to B\), set \(F(x)=[\alpha(x^2),\alpha(x)]\).
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Commuting traces and commutativity preserving maps on triangular algebras
The main result of the paper gives sufficient conditions under which every commuting trace of a bilinear map on a triangular algebra is of a standard form. These conditions are too technical to be stated here; let us just mention that they are fulfilled in the most important examples of triangular algebras.
Benkovič, Dominik, Eremita, Daniel
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