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On coincidence points for vector mappings [PDF]

Russian Mathematics, 2016
For mappings acting in the product of metric spaces we propose a concept of vector covering. This concept is a natural extension of the notion of covering formappings inmetric spaces. The statements on the solvability of systems of operator equations are proved for the case when the left-hand side of an equation is a value of a vector covering mapping ...
E. Zhukovskiy
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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

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

ON POINTS OF COINCIDENCE OF TWO MAPPINGS [PDF]

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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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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The stability of coincident points for multivalued mappings

Nonlinear Analysis: Theory, Methods & Applications, 1995
Let \((X,d)\) be a complete metric space and \(K(X)\) be the space of all nonempty compact subsets of \(X\) equipped with the Pompeiu-Hausdorff metric \(h\) which is induced by the metric \(d\) and \(C=\{f:X \to K(X):f\) is upper semicontinuous on \(X\}\). For any \(f,g \in C\), let \(\rho(f,g)=\min \{\sup_{x\in X} h(f(x),g(x));1\}\). Then \((C,\rho)\)
Xian-Zhi Yuan, Xian-Zhi Yuan, Jian Yu, Jian Yu, Kok-Keong Tan, Kok-Keong Tan   +5 more
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EXISTENCE AND STABILITY RESULTS FOR COINCIDENCE POINTS OF NONLINEAR CONTRACTIONS

, 2017
In this paper we define $\alpha$ - admissibility of multi-valued mapping with respect to a single-valued mapping and use this concept to establish a coincidence point theorem for pairs of nonlinear multi-valued and single-valued mappings under the ...
B. Choudhury, N. Metiya, S. Kundu
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On the product of distributions with coincident point singularities

Journal of Mathematical Chemistry, 1999
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C. G. Bollini, Mario Carlos Rocca, M. Aguirre Tellez   +2 more
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(q1,q2)-quasimetric spaces. Covering mappings and coincidence points. A review of the results

Fixed Point Theory, 2022
A. Arutyunov, A. Greshnov
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Majorized multivalued maps, equilibrium and coincidence points in the topological vector space setting

Acta Mathematica Hungarica, 2022
D. O’Regan
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