Results 71 to 80 of about 12,815 (241)

COINCIDENCE POINTS OF COMPATIBLE MULTIVALUED MAPPINGS

Demonstratio Mathematica, 1996
Let \(CB(X)\) be the space of nonempty bounded closed subsets of a metric space \((X,d)\) with the Hausdorff metric. Mappings \(T:X\to CB(X)\), \(f:X\to X\) are said to be compatible if, for any sequence \(\{x_n\}\subset X\) satisfying \(\lim_{n\to\infty} fx_n\in \lim_{n\to\infty} Tx_n\) we have \(\lim_{n\to\infty} H(fTx_n,Tfx_n)=0\).
Azam, Akbar, Beg, Ismat
openaire   +2 more sources

Spatial Modeling of Flood Hazard in Addis Ababa Using Geographic Information System (GIS) and Information Gain Ratio (IGR) Method

Journal of Flood Risk Management, Volume 18, Issue 4, December 2025.
ABSTRACT Floods are one of nature's most disturbing catastrophes, resulting in infrastructure damage, property devastation, and mortality. In Addis Ababa, flooding has significantly impacted residents and caused millions' worth of property damage in the last decade alone. It is continuously threatening and affecting city residents.
Desta Jula Bekalo, Amanuel Kumsa Bojer, Taye Girma Debelee, Ayad M. Fadhil Al‐Quraishi, Worku Gachena Negera, Kena Wendimu Gebissa, Saralees Nadarajah, Firesew Feyiso Woldesillasie   +7 more
wiley   +1 more source

Novel results of $\alpha _{\ast }$-ψ-Λ-contraction multivalued mappings in F-metric spaces with an application [PDF]

, 2022
Mustafa Mudhesh, Nabil Mlaiki, Muhammad Arshad, Aftab Hussain, Eskandar Ameer, Reny George, Wasfı Shatanawi   +6 more
openalex   +1 more source

Perfect Roads for Multivalued Maps

Real Analysis Exchange, 2006
The main purpose of the paper is to extend Maximoff's theorem for real functions to the multivalued maps case. Theorem (Maximoff [5]) Let $f : \mathbb{R}\to\mathbb{R}$ be a first Baire class function. Then $f$ has the Darboux property if and only if $f$ has a perfect road at each point.
openaire   +2 more sources

Representing maps for semibounded forms and their Lebesgue‐type decompositions

Journal of the London Mathematical Society, Volume 112, Issue 6, December 2025.
Abstract In the Lebesgue decomposition of a lower semibounded sesquilinear form, the corresponding regular and singular parts are mutually singular. The more general Lebesgue‐type decompositions studied here allow components that need not be mutually singular anymore.
S. Hassi, H. S. V. de Snoo
wiley   +1 more source

Generalized implicit viscosity approximation method for multivalued mappings in CAT(0) spaces

Demonstratio Mathematica, 2019
We prove strong convergence of the sequence generated by implicit viscosity approximation method involving a multivalued nonexpansive mapping in framework of CAT(0) space.
Abbas Mujahid, Iqbal Hira, de la Sen Manuel   +2 more
doaj   +1 more source

W‐algebras, Gaussian free fields, and g$\mathfrak {g}$‐Dotsenko–Fateev integrals

Proceedings of the London Mathematical Society, Volume 131, Issue 6, December 2025.
Abstract Based on the intrinsic connection between Gaussian free fields and the Heisenberg vertex algebra, we study some aspects of the correspondence between probability theory and W$W$‐algebras. This is first achieved by providing a construction of the W$W$‐algebra associated to a complex simple Lie algebra g$\mathfrak {g}$ by means of Gaussian free ...
Baptiste Cerclé
wiley   +1 more source

Higher Order of Convergence with Multivalued Contraction Mappings

Journal of Mathematics, 2020
In this paper, we establish some theorems of fixed point on multivalued mappings satisfying contraction mapping by using gauge function. Furthermore, we use Q- and R-order of convergence.
Jia-Bao Liu, Asma Rashid Butt, Shahzad Nadeem, Shahbaz Ali, Muhammad Shoaib   +4 more
doaj   +1 more source

On Some Problems with Multivalued Mappings

Automation and Remote Control
We consider some problems with a set-valued mapping, which can be reduced to minimization of a homogeneous Lipschitz function on the unit sphere. Latter problem can be solved in some cases with a first order algorithm—the gradient projection method. As one of the examples, the case when set-valued mapping is the reachable set of a linear autonomous ...
Balashov, M. V., Biglov, K. Z., Tremba, A. A.   +2 more
openaire   +1 more source

Perfect Open and Distinguishable Multivalued Maps [PDF]

Transactions of the American Mathematical Society, 1973
It is shown that perfect open multivalued maps preserve Z \mathcal {Z} -analytic sets (which include compact zero sets) as well as other objects of descriptive set theory. The concept of “distinguishability", introduced by Frolík, is applied to multivalued maps, yielding a new class of such maps with similar preservation ...
openaire   +1 more source