Results 31 to 40 of about 1,627,856 (332)

Generalized Rough Sets Applied to BCK/BCI-Algebras

open access: yesDiscussiones Mathematicae - General Algebra and Applications, 2021
The concept of a (strong) set-valued BCK/BCI-morphism in BCK/BCI-algebras is considered, and several properties are investigated. Conditions for a set-valued mapping to be a set-valued BCK/BCI-morphism are given.
Jun Young Bae   +2 more
doaj   +1 more source

Rough semi-continuous set-valued maps

open access: yes, 2021
Summary: In this paper, we introduce the concepts of rough semi-continuity and rough continuity of set-valued maps. Then we investigate the question whether these concepts may be characterized differently or not.
AYTAR, Salih, Akcay, Fatma Gecit
openaire   +3 more sources

Connectedness of Solution Sets for Weak Vector Variational Inequalities on Unbounded Closed Convex Sets

open access: yesAbstract and Applied Analysis, 2013
We study the connectedness of solution set for set-valued weak vector variational inequality in unbounded closed convex subsets of finite dimensional spaces, when the mapping involved is scalar C-pseudomonotone.
Ren-you Zhong   +2 more
doaj   +1 more source

On some weak conditions of commutativity in common fixed point theorems

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1988
We generalize common fixed point theorems of Fisher and Sessa in complete metric spaces, using some conditions of weak commutativity between a set-valued mapping and a single-valued mapping. Suitable examples prove that these conditions do not imply each
M. Imdad, M. S. Khan, S. Sessa
doaj   +1 more source

Berge's Theorem for Noncompact Image Sets

open access: yes, 2012
For an upper semi-continuous set-valued mapping from one topological space to another and for a lower semi-continuous function defined on the product of these spaces, Berge's theorem states lower semi-continuity of the minimum of this function taken over
Feinberg, Eugene A.   +2 more
core   +3 more sources

Quantitative stability analysis of stochastic generalized equations [PDF]

open access: yes, 2014
We consider the solution of a system of stochastic generalized equations (SGE) where the underlying functions are mathematical expectation of random set-valued mappings.
Dentcheva D.   +8 more
core   +1 more source

Nonlinear Generalizations of Tucker's Theorem on Inequality Systems [PDF]

open access: yes, 1999
This note is to prove Tucker's theorem on linear inequalities based on the proof method of minimax theorems which uses Kakutani's fixed point theorem. One device is necessary to convert the minimax theorems to Tucker's formulation.
Fujimoto, Takao, Ishiyama, Ken-ichi
core   +1 more source

The inverse problem for perturbed harmonic oscillator on the half-line with Dirichlet boundary conditions

open access: yes, 2006
We consider the perturbed harmonic oscillator $T_D\psi=-\psi''+x^2\psi+q(x)\psi$, $\psi(0)=0$, in $L^2(\R_+)$, where $q\in\bH_+=\{q', xq\in L^2(\R_+)\}$ is a real-valued potential. We prove that the mapping $q\mapsto{\rm spectral data}={\rm \{eigenvalues
Chelkak, Dmitry, Korotyaev, Evgeny
core   +2 more sources

Existence of basic solutions of first order linear homogeneous set-valued differential equations

open access: yesМатематичні Студії
The paper presents various derivatives of set-valued mappings, their main properties and how they are related to each other. Next, we consider Cauchy problems with linear homogeneous set-valued differential equations with different types of derivatives ...
A. V. Plotnikov   +2 more
doaj   +1 more source

Attractive Points and Convergence Theorems of (α,β)-Generalized Hybrid Set valued Mappings

open access: yesJournal of Harbin University of Science and Technology, 2019
Set-valued mapping theory,which is widely used in control theory, optimization theory, mathematical economics and other fields,has developed rapidly in recent decades and has now become an important component of nonlinear analysis. Therefore, research on
CHEN Li-li, ZOU Jie, GAO Lu
doaj   +1 more source

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