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There is a natural relationship between fixed points of m-order in X and fixed points in X m.
We also present a connection between fixed points of continuous functions and equilibria (zeros) of excess demand functions.
In the following theorem, we explain the relationship between fixed points of the reflections with c = 0 and eigenvectors of the matrices corresponding to those reflections.
In this study, we consider the relationships between fixed points of the elements of the group G and eigenvectors of matrices corresponding to the elements of this group.
If T ( z ) ∈ P S L ( 2, R ), then the connection between fixed points of T ( z ) and lines of eigenvectors for the matrix T corresponding to T ( z ) is explained by Theorem 1.
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In order to do so, we first show the connection between isotone mappings and acyclic mappings before showing the relationship between fixed points and the cyclicity of the mapping.
In particular we are interested in optimal trajectories between fixed points connected by heteroclinic orbits.
In the following theorem, we explain the relationship between the set of fixed points of the reflections with c ≠ 0 and eigenvectors of matrices corresponding to those reflections.
The present paper concerns a relation between digital contractibility and the existence of fixed points of digitally continuous maps.
We make the first ever effort to fill the gap between the existence and the approximation of fixed points of ρ-nonexpansive multivalued mappings in modular function spaces.
For an iterative algorithm θ k+1)= T(θ k)), we call that the algorithm is convergent if the distance between θ k+1)and a fixed point of T is smaller than the distance between θ k)and this fixed point, where the fixed points of T are the points that satisfy equation θ = T.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com