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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.   +2 more
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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.
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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.   +2 more
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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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ON POINTS OF COINCIDENCE OF TWO MAPPINGS

Mathematics of the USSR-Sbornik, 1981
This paper is devoted to the coincidence theory of two continuous mappings.A definition is given, in cohomological terms, of the coincidence index of two continuous mappings , where and are connected (not necessarily compact), orientable, -dimensional topological manifolds without boundary, is a compact mapping and is a proper mapping.Invariance ...
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Points where univalent functions may coincide

Complex Variables, Theory and Application: An International Journal, 1985
Let be a Blaschke sequence of points in the unit disk, with , such that converges to a point ζon the unit circle. We prove that if then there exists a pair of bounded univalent functions f and g, with f(0)=g(0)=0 and f′(0)=g′(0)=1, such that f(z)=g(z) if and only if .This result, and another slight extension of this result, gives a partial solution to ...
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Zeros of Conic Functions, Fixed Points, and Coincidences

Doklady Mathematics
Concept of conic function with operator coefficients is introduced. Zero existence theorem is proved for such functions. On this basis, fixed point theorem is obtained, for a multivalued self-mapping of a conic metric space, generalizing the recent fixed point theorem by E.S. Zhukovsky and E.A.
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Electronic Textiles for Wearable Point-of-Care Systems

Chemical Reviews, 2022
, Trinny Tat
exaly  

NEW THEOREMS FOR COINCIDENCE POINT

Wavelet Analysis and Its Applications, and Active Media Technology, 2004
Ping Feng, Erzhi Wang
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Fixed Point and Coincidence Theorems

Journal of the London Mathematical Society, 1952
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