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Genetic architecture of a light-temperature coincidence detector. [PDF]

Nat Commun
Seluzicki A, Chory J.
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The ecclesiastical polity of the New Testament unfolded : and its points of coincidence or disagreement with prevailing systems indicated

Samuel Davidson
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Coincidence Points and Generalized Coincidence Points of Two Set-Valued Mappings

Proceedings of the Steklov Institute of Mathematics, 2020
Let $(X,\rho_X)$ and $(Y,\rho_Y)$ be metric spaces and $G_i$, $i=1,2$ be mappings from $X$ to the collection of nonempty closed subsets of $Y$. Recall that a point $\xi\in X$ is called a coincidence point of $G_1$ and $G_2$ if $G_1(\xi)\cap G_2(\xi)\ne \emptyset$ and a generalized coincidence point if $\text{dist}_Y(G_1(\xi),G_2(\xi))=0$.
Arutyunov, A. V., Zhukovskiy, E. S., Zhukovskiy, S. E.   +2 more
semanticscholar   +4 more sources

Kantorovich’s Fixed Point Theorem in Metric Spaces and Coincidence Points

Proceedings of the Steklov Institute of Mathematics, 2019
The authors prove existence and uniqueness of fixed points of a self-mapping on a complete metric space, generalizing and improving the well-known Kantorovich's fixed point theorem in the setting of Banach spaces. Besides of a standard self-mapping, the authors also obtain coincidence point theorems for set-valued mappings on metric spaces.
Arutyunov A.V., Zhukovskiy E.S., Zhukovskiy S.E.   +2 more
semanticscholar   +5 more sources

Coincidence Points of Parameterized Generalized Equations with Applications to Optimal Value Functions

Journal of Optimization Theory and Applications, 2022
The paper studies coincidence points of parameterized set-valued mappings (multifunctions), which provide an extended framework to cover several important topics in variational analysis and optimization that include the existence of solutions of ...
A. Arutyunov, B. Mordukhovich, S. Zhukovskiy   +2 more
semanticscholar   +1 more source

Around metric coincidence point theory

Studia Universitatis Babes-Bolyai Matematica, 2023
Let $(X,d)$ be a complete metric space, $(Y,\rho)$ be a metric space and $f,g:X\to Y$ be two mappings. The problem is to give metric conditions which imply that, $C(f,g):=\{x\in X\ |\ f(x)=g(x)\}\not=\emptyset$. In this paper we give an abstract coincidence point result with respect to which some results such as of Peetre-Rus (I.A.
openaire   +2 more sources

On coincidence points of mappings in generalized metric spaces

, 2020
. Let 𝑋 be a space with ∞-metric 𝜌 (a metric with possibly infinite value) and 𝑌 a space with ∞-distance 𝑑 satisfying the identity axiom. We consider the problem of coincidence point for mappings 𝐹,𝐺:𝑋→𝑌, i.e.
T. Zhukovskaia, W. Merchela, A. I. Shindiapin   +2 more
semanticscholar   +1 more source

A coincidence point theorem for densifying mappings

Publicationes Mathematicae Debrecen, 1994
The main result is an interesting coincidence point theorem for densifying maps. Several corollaries are also derived. The main result unifies and extends several known results. To illustrate the theorem a suitable example is given.
Khan, M. S., Rao, K. P. R.
openaire   +3 more sources

Coincidence points, generalized -nonexpansive multimaps, and applications

Nonlinear Analysis: Theory, Methods & Applications, 2007
Let \((D,d)\) be a metric space, \(CL(D)\) the family of all nonempty closed subsets of \(D\) endowed with the generalized Hausdorff metric \(H\), \(I:D\to D\) and \(T:D\to CL(D)\). In the first part of the paper, the authors study the existence of coincidence points and common fixed points of the pair \((I,T)\).
Al-Thagafi, M. A., Shahzad, Naseer
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Majorized multivalued maps, equilibrium and coincidence points in the topological vector space setting

Acta Mathematica Hungarica, 2022
D. O’Regan
semanticscholar   +1 more source