Results 11 to 20 of about 411 (262)
Common fixed point theorems for commuting k-uniformly Lipschitzian mappings
International Journal of Mathematics and Mathematical Sciences, 2001 We give a common fixed point existence theorem for any sequence of commuting k-uniformly Lipschitzian mappings (eventually, for k=1 for any sequence of commuting nonexpansive mappings) defined on a bounded and complete metric space (X,d) with uniform ...
M. Elamrani, A. B. Mbarki, B. Mehdaoui
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Some New Common Fixed Point Theorems under Strict Contractive Conditions in G-Metric Spaces
Journal of Applied Mathematics, 2012 We introduce some new types of pairs of mappings (𝑓,𝑔) on G-metric space called G-weakly commuting of type (𝐴𝑓) and G-R-weakly commuting of type (𝐴𝑓).
Zead Mustafa
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Common fixed point theorems for compatible mappings
International Journal of Mathematics and Mathematical Sciences, 1996 By using a compatibility condition due to Jungck we establish some common fixed point theorems for four mappings on complete and compact metric spaces These results also generalize a theorem of Sharma and Sahu.
Kenan Taş +2 more
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Commuting Traces of Multiadditive Mappings
Journal of Algebra, 1997 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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Some fixed point theorems for compatible maps
International Journal of Mathematics and Mathematical Sciences, 1993 A collection of fixed point theorems is generalized by replacing hypothesized commutativity or weak commutativity of functions involved by compatibility.
G. jungck, B. E. Rhoades
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Common fixed point theorems for two and three mappings
Fixed Point Theory and Applications, 2020 In this paper, we provide common fixed point theorems for two and three commuting mappings which generalize Darbo’s fixed point theorem. An explicit example is given for illustration.
Meryeme El Harrak, Ahmed Hajji
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Some Generalizations of Jungck's Fixed Point Theorem
International Journal of Mathematics and Mathematical Sciences, 2012 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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On Mappings Which Commute with Convolution [PDF]
Journal of the Australian Mathematical Society, 1971 The symbolDwill be written for the space of indefinitely differentiable functions on the n-dimensional Euclidean spaceRnwhich have compact support andDapos; will denote the space of Schwartz distribution onRn, the topological dual ofD. Except where contrary is explicitly stated, it will be assumed thatD′ is equipped with the strong topology β (D′,D ...
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A Common Fixed Point Theorem in D*-Metric Spaces
Fixed Point Theory and Applications, 2007 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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Taiwanese Journal of Mathematics, 2004 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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