Results 11 to 20 of about 367,267 (193)
Coincidence invariants and higher Reidemeister traces [PDF]
The Lefschetz number and fixed point index can be thought of as two different descriptions of the same invariant. The Lefschetz number is algebraic and defined using homology.
Ponto, Kate
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On the structure of the set of coincidence points
We consider the set of coincidence points for two maps between metric spaces. Cardinality, metric and topological properties of the coincidence set are studied. We obtain conditions which guarantee that this set (a) consists of at least two points; (b) consists of at least n points; (c) contains a countable subset; (d) is uncountable.
Arutyunov A.V., Gel'man B.D.
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Fixed point and coincidence point theorems
In this paper, we present a generalization of some fixed point and coincidence point theorems using the notion of a on a complete metric space.Consequently, we improve and generalize various results existing in the literature.
Arjamand Bano, Saima Naheed
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On random coincidence point theorems [PDF]
Some random coincidence point theorems are proved. The results of Benavides et al. [ Random fixed points of set-valued operators , Proc. Amer. Math. Soc. 124 (1996), 831–838], Itoh [ Random fixed point theorems with an application to random differential equations in Banach spaces , J. Math. Anal. Appl.
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On Changing Fixed Points and Coincidences to Roots [PDF]
The coincidence problem, finding solutions to f ( x ) = g ( x ) f(x) = g(x) , can sometimes be converted to a root problem, finding solutions to σ ( x ) = a \sigma (x) = a .
Robin Brooks, Peter Wong
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FIXED POINTS AND COINCIDENCES IN TORUS BUNDLES [PDF]
Minimum numbers of fixed points or of coincidence components (realized by maps in given homotopy classes) are the principal objects of study in topological fixed point and coincidence theory. In this paper, we investigate fiberwise analoga and present a general approach e.g. to the question when two maps can be deformed until they are coincidence free.
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NONLINEAR CONDITIONS FOR COINCIDENCE POINT AND FIXED POINT THEOREMS [PDF]
In this paper, we first establish some new types of fixed point theorem which generalize and improve Berinde-Berinde's fixed point theorem, Mizoguchi-Takahashi's fixed point theorem and many results in [W.-S. Du, Some new results and generalizations in metric fixed point theory, Nonlinear Anal. 73 (2010), 1439-1446] and references therein.
Wei-Shih Du, Shao-Xuan Zheng
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Coincidence point theorems for multivalued mappings [PDF]
Some new coincidence point and fixed point theorems for multivalued mappings in complete metric space are proved. The results presented in this paper enrich and extend the corresponding results in [5-16, 20-25, 29].
Shih-Sen Chang, Young-Cheng Peng
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Nothing but coincidences: the point-coincidence and Einstein’s struggle with the meaning of coordinates in physics [PDF]
AbstractIn his 1916 review paper on general relativity, Einstein made the often-quoted oracular remark that all physical measurements amount to a determination of coincidences, like the coincidence of a pointer with a mark on a scale. This argument, which was meant to express the requirement of general covariance, immediately gained great resonance ...
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A coincidence point theorem and related results
AbstractA coincidence point theorem for mappings with noncompact domain is proved. An application to minimax inequalities is also given.
Tarafdar E.U., Watson P.J.
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