1992, Operator theory, advances and applications, ISBN 9783764327163, Volume 55., viii, 249

Book

1980, Lecture notes in pure and applied mathematics, ISBN 082471248X, Volume 60, v, 97

Book

Nonlinear Analysis, ISSN 0362-546X, 11/2019, Volume 188, pp. 70 - 79

We investigate the multilinear variants of the quantities which measure the noncompactness of multilinear operators taking values in Banach spaces with the...

Compact operators | Approximation property | Multilinear operators | Measure of noncompactness | Mutilinear Hilbert and Riesz transform | MATHEMATICS | MATHEMATICS, APPLIED | Invertebrates | Banach space | Operators

Compact operators | Approximation property | Multilinear operators | Measure of noncompactness | Mutilinear Hilbert and Riesz transform | MATHEMATICS | MATHEMATICS, APPLIED | Invertebrates | Banach space | Operators

Journal Article

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, ISSN 0022-247X, 08/2019, Volume 476, Issue 2, pp. 860 - 874

In the paper we formulate a criterion for relative compactness in the space R(J, E) consisting of all regulated functions, defined on the compact interval J...

MATHEMATICS | Nonlinear functional integral equation | MATHEMATICS, APPLIED | Measure of noncompactness | Nemytskii operator | Space of regulated functions | Criterion of relative compactness

MATHEMATICS | Nonlinear functional integral equation | MATHEMATICS, APPLIED | Measure of noncompactness | Nemytskii operator | Space of regulated functions | Criterion of relative compactness

Journal Article

Nonlinear Analysis, ISSN 0362-546X, 2010, Volume 73, Issue 8, pp. 2541 - 2557

In the present paper, we establish some identities or estimates for the operator norms and the Hausdorff measures of noncompactness of certain operators given...

Sequence spaces | Compact operators | Hausdorff measure of noncompactness | Matrix transformations | BK-spaces | MATHEMATICS | MATHEMATICS, APPLIED | SEQUENCE-SPACES | OPERATORS | DOMAINS | Operators | Mathematical analysis | Triangles | Norms | Nonlinearity | Matrices | Matrix methods | Estimates

Sequence spaces | Compact operators | Hausdorff measure of noncompactness | Matrix transformations | BK-spaces | MATHEMATICS | MATHEMATICS, APPLIED | SEQUENCE-SPACES | OPERATORS | DOMAINS | Operators | Mathematical analysis | Triangles | Norms | Nonlinearity | Matrices | Matrix methods | Estimates

Journal Article

Transactions of the American Mathematical Society, ISSN 0002-9947, 12/2018, Volume 370, Issue 12, pp. 8979 - 8997

We study interpolation of the measure of noncompactness of bilinear operators. We prove a result of a general nature which states that for a large class of...

MATHEMATICS | Measure of noncompactness | REAL METHOD | PEETRE | COMPACT-OPERATORS | bilinear compact operators | interpolation spaces | interpolation functor | ARONSZAJN-GAGLIARDO FUNCTORS

MATHEMATICS | Measure of noncompactness | REAL METHOD | PEETRE | COMPACT-OPERATORS | bilinear compact operators | interpolation spaces | interpolation functor | ARONSZAJN-GAGLIARDO FUNCTORS

Journal Article

Journal of Computational and Applied Mathematics, ISSN 0377-0427, 01/2019, Volume 346, pp. 566 - 571

In this article, based on the concept of relative compactness in the Holder space where , and is a compact subset of we present a new measure of noncompactness...

Quadratic integral equation | Holder space | Measure of noncompactness | Fixed point of Darbo type | EXISTENCE | MATHEMATICS, APPLIED | THEOREM | SOLVABILITY | QUADRATIC INTEGRAL-EQUATION

Quadratic integral equation | Holder space | Measure of noncompactness | Fixed point of Darbo type | EXISTENCE | MATHEMATICS, APPLIED | THEOREM | SOLVABILITY | QUADRATIC INTEGRAL-EQUATION

Journal Article

Boundary Value Problems, ISSN 1687-2762, 12/2019, Volume 2019, Issue 1, pp. 1 - 23

In this paper, we deal with the existence results for mild solutions of abstract fractional evolution equations with non-instantaneous impulses on an unbounded...

Measure of noncompactness | Mild solutions | S-asymptotically ω-periodic solutions | Tichonov fixed-point theorem | Fractional evolution equations | Darbo–Sadovskii fixed-point theorem | EXISTENCE | MATHEMATICS | ORDER | MATHEMATICS, APPLIED | S-asymptotically -periodic solutions | SPACES | Darbo-Sadovskii fixed-point theorem | DIFFERENTIAL-EQUATIONS | Impulses | Evolution | Fixed points (mathematics) | Boundary value problems | Mathematical analysis | Cauchy problem | Naturvetenskap | Mathematics | Natural Sciences | Matematik

Measure of noncompactness | Mild solutions | S-asymptotically ω-periodic solutions | Tichonov fixed-point theorem | Fractional evolution equations | Darbo–Sadovskii fixed-point theorem | EXISTENCE | MATHEMATICS | ORDER | MATHEMATICS, APPLIED | S-asymptotically -periodic solutions | SPACES | Darbo-Sadovskii fixed-point theorem | DIFFERENTIAL-EQUATIONS | Impulses | Evolution | Fixed points (mathematics) | Boundary value problems | Mathematical analysis | Cauchy problem | Naturvetenskap | Mathematics | Natural Sciences | Matematik

Journal Article

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, ISSN 0362-546X, 03/2012, Volume 75, Issue 4, pp. 2111 - 2115

In this paper we apply the technique of measures of noncompactness to the theory of infinite system of differential equations in the Banach sequence spaces...

MATHEMATICS | Sequence spaces | MATHEMATICS, APPLIED | SEQUENCE-SPACES | Measure of noncompactness | HAUSDORFF MEASURE | Infinite system of differential equations | MATRIX OPERATORS | BK spaces

MATHEMATICS | Sequence spaces | MATHEMATICS, APPLIED | SEQUENCE-SPACES | Measure of noncompactness | HAUSDORFF MEASURE | Infinite system of differential equations | MATRIX OPERATORS | BK spaces

Journal Article

Nonlinear Analysis, Theory, Methods and Applications, ISSN 0362-546X, 03/2012, Volume 75, Issue 4, pp. 2111 - 2115

In this paper we apply the technique of measures of noncompactness to the theory of infinite system of differential equations in the Banach sequence spaces...

Sequence spaces | Measure of noncompactness | Infinite system of differential equations | BK spaces

Sequence spaces | Measure of noncompactness | Infinite system of differential equations | BK spaces

Journal Article

Annali di Matematica Pura ed Applicata, ISSN 0373-3114, 9/2011, Volume 190, Issue 3, pp. 453 - 488

Two homogeneous measures of noncompactness β and γ on an infinite dimensional Banach space X are called “equivalent” if there exist positive constants b and c...

Classical Banach spaces | Inequivalent measures of noncompactness | Mathematics, general | Mathematics | Kuratowski measure of noncompactness | MATHEMATICS | MATHEMATICS, APPLIED | MAPS | THEOREM | SPACES | PROPERTY | EQUATIONS | OPERATORS

Classical Banach spaces | Inequivalent measures of noncompactness | Mathematics, general | Mathematics | Kuratowski measure of noncompactness | MATHEMATICS | MATHEMATICS, APPLIED | MAPS | THEOREM | SPACES | PROPERTY | EQUATIONS | OPERATORS

Journal Article

Filomat, ISSN 0354-5180, 2018, Volume 32, Issue 15, pp. 5459 - 5470

Journal Article

Applied Mathematics and Computation, ISSN 0096-3003, 05/2019, Volume 349, pp. 102 - 117

The aim of this article is to prove the existence of solution for nonlinear quadratic integral equations using the generalized form of Darbo fixed point...

Fixed point theory | Homotopy perturbation method | Measure of noncompactness | Nonlinear quadratic integral equations | Simulation function | EXISTENCE | MATHEMATICS, APPLIED | INFINITE SYSTEMS | SPACES | DECOMPOSITION | POINT THEOREMS | Analysis | Algorithms

Fixed point theory | Homotopy perturbation method | Measure of noncompactness | Nonlinear quadratic integral equations | Simulation function | EXISTENCE | MATHEMATICS, APPLIED | INFINITE SYSTEMS | SPACES | DECOMPOSITION | POINT THEOREMS | Analysis | Algorithms

Journal Article

Studia Mathematica, ISSN 0039-3223, 2018, Volume 240, Issue 1, pp. 21 - 45

We deal with measures of noncompactness on a Banach space X in a new way: Assume that C is the collection of all nonempty bounded closed convex subsets of X,...

Normed semigroup | Measure of noncompactness | Banach lattice | Banach space | Abstract M-space | Inequivalence | MATHEMATICS | abstract M-space | measure of noncompactness | CONVEX | inequivalence | PROPERTY | INEQUIVALENT MEASURES | SETS | WEAK NONCOMPACTNESS | normed semigroup

Normed semigroup | Measure of noncompactness | Banach lattice | Banach space | Abstract M-space | Inequivalence | MATHEMATICS | abstract M-space | measure of noncompactness | CONVEX | inequivalence | PROPERTY | INEQUIVALENT MEASURES | SETS | WEAK NONCOMPACTNESS | normed semigroup

Journal Article

Journal of Inequalities and Applications, ISSN 1025-5834, 2017, Volume 2017, p. 1

In this paper, some new generalization of Darbo's fixed point theorem is proved by using a F(psi,phi)-contraction in terms of a measure of noncompactness. Our...

fixed point | measure of noncompactness | F(ψ, φ) -contraction | MATHEMATICS | F(psi,phi)-contraction | MATHEMATICS, APPLIED | FIXED-POINT THEOREMS | MAPPINGS | Nonlinear equations | Fixed points (mathematics) | Mathematical analysis | Integral equations

fixed point | measure of noncompactness | F(ψ, φ) -contraction | MATHEMATICS | F(psi,phi)-contraction | MATHEMATICS, APPLIED | FIXED-POINT THEOREMS | MAPPINGS | Nonlinear equations | Fixed points (mathematics) | Mathematical analysis | Integral equations

Journal Article

Mathematica Slovaca, ISSN 0139-9918, 10/2017, Volume 67, Issue 5, pp. 1203 - 1212

In the present paper we give some results concerning the S-essential spectra of linear bounded operators on a Banach space using the notion of a measure of...

Secondary 47A53 | S-essential spectra | measure of noncompactness | Primary 47A13 | 47H08 | spectral radius | 46B50 | Fredholm operators | MATHEMATICS | STABILITY | Banach space

Secondary 47A53 | S-essential spectra | measure of noncompactness | Primary 47A13 | 47H08 | spectral radius | 46B50 | Fredholm operators | MATHEMATICS | STABILITY | Banach space

Journal Article

Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 03/2016, Volume 435, Issue 2, pp. 1634 - 1651

Based on a certain criterion for relative compactness in the space of functions with tempered increments, we construct a formula expressing a set function in...

Space of functions with tempered increments | Measure of noncompactness | Fixed point theorem of Darbo type | Hölder function space | Relative compactness | Quadratic integral equation of Hammerstein type | MATHEMATICS | MATHEMATICS, APPLIED | Holder function space

Space of functions with tempered increments | Measure of noncompactness | Fixed point theorem of Darbo type | Hölder function space | Relative compactness | Quadratic integral equation of Hammerstein type | MATHEMATICS | MATHEMATICS, APPLIED | Holder function space

Journal Article

Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 06/2019, Volume 474, Issue 2, pp. 1551 - 1575

We consider the Banach function space consisting of real functions defined on the half-axis and having increments tempered by a given modulus of continuity....

Space of functions with tempered increments on the half-axis | Integral equation | Measure of noncompactness | Fixed point theorem of Darbo type | Hölder function space | Relative compactness | MATHEMATICS | MATHEMATICS, APPLIED | Holder function space

Space of functions with tempered increments on the half-axis | Integral equation | Measure of noncompactness | Fixed point theorem of Darbo type | Hölder function space | Relative compactness | MATHEMATICS | MATHEMATICS, APPLIED | Holder function space

Journal Article

Nonlinear Analysis, Theory, Methods and Applications, ISSN 0362-546X, 2013, Volume 92, pp. 119 - 129

Recently, the sequence spaces ℓ , ,c and ℓ have been defined and studied by Mursaleen and Noman (cf. Mursaleen and Noman, 2011 [5,6]). In this paper, we obtain...

Sequence spaces | Compact operators | Hausdorff measure of noncompactness | Matrix transformations | MATHEMATICS | MATHEMATICS, APPLIED | L(P) | EQUATIONS | COMPACT-OPERATORS | DIFFERENCE SEQUENCE-SPACES | API

Sequence spaces | Compact operators | Hausdorff measure of noncompactness | Matrix transformations | MATHEMATICS | MATHEMATICS, APPLIED | L(P) | EQUATIONS | COMPACT-OPERATORS | DIFFERENCE SEQUENCE-SPACES | API

Journal Article

Applied Mathematics and Computation, ISSN 0096-3003, 11/2014, Volume 246, pp. 283 - 291

The aim of this paper is to establish fixed point theorems for condensing operators in the Fréchet spaces. In our considerations we apply the technique of...

Fréchet space | Infinite systems of equations | Measure of noncompactness | Tychonoff fixed point theorem | Frechet space | MATHEMATICS, APPLIED | SOLVABILITY | Condensing | Operators | Theorems | Mathematical models | Computation | Integral equations

Fréchet space | Infinite systems of equations | Measure of noncompactness | Tychonoff fixed point theorem | Frechet space | MATHEMATICS, APPLIED | SOLVABILITY | Condensing | Operators | Theorems | Mathematical models | Computation | Integral equations

Journal Article

No results were found for your search.

Cannot display more than 1000 results, please narrow the terms of your search.