Results 281 to 290 of about 361,901 (315)

On quadratic set valued functions

Publicationes Mathematicae Debrecen, 2022
A set valued function \(U:{\mathbb{R}}\to 2^ X\) (where X is a real normed space) is said to be quadratic iff \(U(s+t)+U(s-t)=2U(s)+2U(t),\) for all s,\(t\in {\mathbb{R}}\). There is proved, among others, that if a quadratic set valued function U:\({\mathbb{R}}\to CC(X)\) (where CC(X) denotes the family of all compact, convex and non-empty subsets of X)
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On the Best Approximation of Set-Valued Functions

1997
Let M be a Hausdorff compact topological space, let C(M) be the Banach space of the continuous on M functions supplied with the supremum norm and let V C C(M) be a finite dimensional subspace of C(M). The problem of the Chebyshev approximation of a function f ∈ C(M) by functions from V can be put in the form \({{\max }_{{t \in M}}}\max \left\{ {f\left(
IVANOV, IVAN GINCHEV, ARMIN HOFFMANN
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Integrals of Set-Valued Functions with a Countable Range

Mathematics of Operations Research, 1996
Approximate versions, both of Lyapunov-type results on the compactness and convexity of the integral of a correspondence, and Fatou-type results on the preservation of upper semicontinuity by integration, are well known in the context of an infinite dimensional space. We report exact versions of these two types of results for integrals of Banach space
M. Ali Khan, Yeneng Sun
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On Nemytskii operator for set-valued functions

Publicationes Mathematicae Debrecen, 1999
The author presents generalizations (in some sense) of her previous results that appeared in [Publ. Math. 54, No. 1-2, 33-37 (1999; Zbl 0921.47056)]. In fact, here she treats the problem of characterizing those vector-valued, or set-valued functions that generate such a Nemytskij operator which maps a \(\text{lip}^2\) space (space of functions with ...
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Semigroups of set-valued functions

Publicationes Mathematicae Debrecen, 1997
Summary: It is proved that a measurable semigroup of linear continuous set-valued functions satisfying some additional assumptions is majorized by a one-parameter family of an exponential type generated by it.
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STABILITY AND SET-VALUED FUNCTIONS

1998
Some interesting connections between the stability results of Chapter 1 as well as the theory of subadditive set-valued functions has been pointed out by several authors. We begin with a work by W. Smajdor (1986) which generalizes for set-valued functions some well-known theorems on linearity for ordinary functions, starting with an example (see also ...
Donald H. Hyers, George Isac, Themistocles M. Rassias   +2 more
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On a family of set-valued functions

Publicationes Mathematicae Debrecen, 1995
It is proved that if \(C\) is a closed convex cone in a Banach space and \(G:C\to cc(C)\) is a continuous linear set-valued function, then for every \(x\in C\) and \(t\geq 0\) the series \[ B^t(x)= \sum^\infty_{i=0} {t^i\over i!} G^i(x) \] is convergent. Moreover, the set-valued functions \(B^t\) are linear, continuous on \(\text{int C}\) and it holds \
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Interval-valued value function and its application in interval optimization problems

Computational and Applied Mathematics, 2022
Debdas Ghosh, Ghosh Debdas
exaly  

Group decision making based on advanced interval-valued intuitionist fuzzy weighted averaging aggregation operator and score function of interval-valued intuitionist fuzzy values

Information Sciences, 2023
Kamal Kumar, Shyi-Ming Chen
exaly  

Necessary and sufficient optimality conditions for non-linear unconstrained and constrained optimization problem with interval valued objective function

Computers and Industrial Engineering, 2020
Md Sadikur Rahman, Ali Akbar Shaikh, Asoke Kumar Bhunia   +2 more
exaly