Results 21 to 30 of about 91,721 (301)

Fixed points of set-valued mappings in Menger probabilistic metric spaces endowed with an amorphous binary relation

open access: yesApplied General Topology, 2023
In this paper, we prove the existence of fixed point results for set-valued mappings in Menger probabilistic metric spaces equipped with an amorphous binary relation and a Hadžić -type t-norm.
Gopi Prasad   +2 more
doaj   +1 more source

A characterization of open mapping in terms of convergent sequences

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2006
It is certainly well known that a mapping between metric spaces is continuous if and only if it preserves convergent sequences. Does there exist a comparable characterization for the mapping to be open?
Irwin E. Schochetman
doaj   +1 more source

On the positive linear set valued maps [PDF]

open access: yesMiskolc Mathematical Notes, 2013
In this paper positive linear set valued maps defined on the cone are studied. The representation theorem for positive linear set valued maps is given and Lipschitz continuity of these maps is proved. The estimations of upper and lower norms of the positive linear set valued maps are obtained.
Huseyin, Anar, Huseyin, Nesir
openaire   +2 more sources

Single valued neutrosophic mappings defined by single valued neutrosophic relations with applications [PDF]

open access: yesNeutrosophic Sets and Systems, 2020
In this paper, we introduce the notion of single valued neutrosophic mapping defined by single valued neutrosophic relation which is considered as a generalization of fuzzy mapping defined by fuzzy relation and several properties related to this notion
Abdelkrim Latreche   +3 more
doaj   +1 more source

Generalized Lower and Upper Approximations in Quantales

open access: yesJournal of Applied Mathematics, 2012
We introduce the concepts of set-valued homomorphism and strong set-valued homomorphism of a quantale which are the extended notions of congruence and complete congruence, respectively.
Qimei Xiao, Qingguo Li
doaj   +1 more source

General Existence Results for Third-Order Nonconvex State-Dependent Sweeping Process with Unbounded Perturbations

open access: yesJournal of Applied Mathematics, 2012
We prove the existence of solutions for third-order nonconvex state-dependent sweeping process with unbounded perturbations of the form: -A(x(3)(t))∈N(K(t,ẋ(t));  A(ẍ(t)))+F(t,x(t),ẋ(t),ẍ(t))+G(x(t),ẋ(t),ẍ(t))      a.e.  [0,T], A(ẍ(t))∈K(t,ẋ(t)),
M. Bounkhel, B. Al-Senan
doaj   +1 more source

Existence results for second order convex sweeping processes in p-uniformly smooth and q-uniformly convex Banach spaces

open access: yesElectronic Journal of Qualitative Theory of Differential Equations, 2012
In a previous work the authors proved under a complex assumption on the set-valued mapping, the existence of Lipschitz solutions for second order convex sweeping processes in $p$-uniformly smooth and $q$-uniformly convex Banach spaces.
Messaoud Bounkhel
doaj   +1 more source

Set-valued homology

open access: yes, 1998
We establish homology groups based on a class of set-valued mappings and prove they are isomorphic to the classical homology groups. Any set-valued mapping in this class induces homomorphisms between homology groups of two topological spaces.
Yongxin Li, Li, Yongxin
core   +1 more source

On Stationary Points of Mean Nonexpansive Set-valued Mappings in Banach Spaces

open access: yesJournal of Harbin University of Science and Technology, 2018
The fixed point theory of the set-valued mappings has important applications in many branches such as modern variation problems,optimization problems and economic equilibrium problems,and it has been an essential part of nonlinear functional analysis ...
CHEN Li-li, GAO Lu, ZHOU Jing
doaj   +1 more source

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

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