European journal of applied physiology, ISSN 1439-6327, 2010, Volume 110, Issue 3, pp. 489 - 498

.... The purpose of this study was to determine if inclusion of the Teager–Kaiser energy operator (TKEO...

Biomedicine | Human Physiology | Sports Medicine | Occupational Medicine/Industrial Medicine | Muscle onset detection | Signal processing | Electromyography | Teager–Kaiser energy operator | Teager-Kaiser energy operator | SPORT SCIENCES | ACTIVATION | WALKING | PHYSIOLOGY | POSTURAL ADJUSTMENTS | NOISE | CHILDREN | MUSCLE-ACTIVITY DETECTION | COACTIVITY | CONTRACTION | MOVEMENT | SURFACE ELECTROMYOGRAPHY | Humans | Middle Aged | Male | Gait - physiology | Likelihood Functions | Algorithms | Quadriceps Muscle - physiology | Signal Processing, Computer-Assisted | Adult | Female | Aged | Electromyography - methods | Isometric Contraction - physiology | Medical colleges | Sports sciences | Analysis | Physical therapy | Therapeutics, Physiological | Original

Biomedicine | Human Physiology | Sports Medicine | Occupational Medicine/Industrial Medicine | Muscle onset detection | Signal processing | Electromyography | Teager–Kaiser energy operator | Teager-Kaiser energy operator | SPORT SCIENCES | ACTIVATION | WALKING | PHYSIOLOGY | POSTURAL ADJUSTMENTS | NOISE | CHILDREN | MUSCLE-ACTIVITY DETECTION | COACTIVITY | CONTRACTION | MOVEMENT | SURFACE ELECTROMYOGRAPHY | Humans | Middle Aged | Male | Gait - physiology | Likelihood Functions | Algorithms | Quadriceps Muscle - physiology | Signal Processing, Computer-Assisted | Adult | Female | Aged | Electromyography - methods | Isometric Contraction - physiology | Medical colleges | Sports sciences | Analysis | Physical therapy | Therapeutics, Physiological | Original

Journal Article

Fixed Point Theory and Applications, ISSN 1687-1820, 12/2014, Volume 2014, Issue 1, pp. 1 - 15

In this paper, we investigate a splitting algorithm for treating monotone operators...

maximal monotone operator | Mathematical and Computational Biology | fixed point | Analysis | Mathematics, general | nonexpansive mapping | Mathematics | zero point | Applications of Mathematics | Topology | Differential Geometry | proximal point algorithm | Maximal monotone operator | Proximal point algorithm | Zero point | Nonexpansive mapping | Fixed point | APPROXIMATION | ITERATIVE ALGORITHM | MATHEMATICS | SEMIGROUPS | THEOREMS | MAPPINGS | ZERO POINTS | EQUILIBRIUM PROBLEMS | FIXED-POINTS | Fixed point theory | Usage | Hilbert space | Contraction operators | Operators | Theorems | Splitting | Algorithms | Convergence

maximal monotone operator | Mathematical and Computational Biology | fixed point | Analysis | Mathematics, general | nonexpansive mapping | Mathematics | zero point | Applications of Mathematics | Topology | Differential Geometry | proximal point algorithm | Maximal monotone operator | Proximal point algorithm | Zero point | Nonexpansive mapping | Fixed point | APPROXIMATION | ITERATIVE ALGORITHM | MATHEMATICS | SEMIGROUPS | THEOREMS | MAPPINGS | ZERO POINTS | EQUILIBRIUM PROBLEMS | FIXED-POINTS | Fixed point theory | Usage | Hilbert space | Contraction operators | Operators | Theorems | Splitting | Algorithms | Convergence

Journal Article

Inverse problems, ISSN 1361-6420, 2018, Volume 34, Issue 8, p. 085001

We consider the Bayesian approach to linear inverse problems when the underlying operator depends on an unknown parameter...

POSTERIOR CONTRACTION RATES | ERROR DISTRIBUTION | PRIORS | MATHEMATICS, APPLIED | empirical Bayes | BLIND DECONVOLUTION | ill-posed linear inverse problems | PHYSICS, MATHEMATICAL | non-parametric estimation | DISTRIBUTIONS | product priors | rate of contraction | posterior distribution | CONVERGENCE-RATES

POSTERIOR CONTRACTION RATES | ERROR DISTRIBUTION | PRIORS | MATHEMATICS, APPLIED | empirical Bayes | BLIND DECONVOLUTION | ill-posed linear inverse problems | PHYSICS, MATHEMATICAL | non-parametric estimation | DISTRIBUTIONS | product priors | rate of contraction | posterior distribution | CONVERGENCE-RATES

Journal Article

Fixed point theory and applications (Hindawi Publishing Corporation), ISSN 1687-1812, 2013, Volume 2013, Issue 1, pp. 148 - 17

.... As an application, we consider the problem of finding zeros of m-accretive operators based on an iterative algorithm with errors...

accretive operator | Mathematical and Computational Biology | fixed point | Analysis | Mathematics, general | nonexpansive mapping | Mathematics | zero point | Applications of Mathematics | Topology | Differential Geometry | iterative algorithm | Iterative algorithm | Zero point | Accretive operator | Nonexpansive mapping | Fixed point | MATHEMATICS | NONLINEAR MAPPINGS | SEMIGROUPS | STRONG-CONVERGENCE THEOREMS | VISCOSITY APPROXIMATION METHODS | FIXED-POINTS | BANACH | Fixed point theory | Usage | Banach spaces | Contraction operators

accretive operator | Mathematical and Computational Biology | fixed point | Analysis | Mathematics, general | nonexpansive mapping | Mathematics | zero point | Applications of Mathematics | Topology | Differential Geometry | iterative algorithm | Iterative algorithm | Zero point | Accretive operator | Nonexpansive mapping | Fixed point | MATHEMATICS | NONLINEAR MAPPINGS | SEMIGROUPS | STRONG-CONVERGENCE THEOREMS | VISCOSITY APPROXIMATION METHODS | FIXED-POINTS | BANACH | Fixed point theory | Usage | Banach spaces | Contraction operators

Journal Article

Studia Mathematica, ISSN 0039-3223, 2019, Volume 246, Issue 2, pp. 133 - 166

For a power bounded or polynomially bounded operator T sufficient conditions for the existence of a nontrivial hyperinvariant subspace are given...

Quasianalytic contraction | Unitary asymptote | Polynomially bounded operator | Hyperinvariant subspace | Power bounded operator | POLYNOMIALLY BOUNDED OPERATOR | SPACE | MATHEMATICS | INNER FUNCTIONS | INVARIANT SUBSPACES | SIMILARITY | Mathematics - Functional Analysis

Quasianalytic contraction | Unitary asymptote | Polynomially bounded operator | Hyperinvariant subspace | Power bounded operator | POLYNOMIALLY BOUNDED OPERATOR | SPACE | MATHEMATICS | INNER FUNCTIONS | INVARIANT SUBSPACES | SIMILARITY | Mathematics - Functional Analysis

Journal Article

Computational optimization and applications, ISSN 1573-2894, 2013, Volume 57, Issue 2, pp. 339 - 363

.../t) convergence rate for variational inequalities with Lipschitz continuous monotone operators. For the same problems, in the last decades, a class...

Variational inequality | Operations Research/Decision Theory | Convex and Discrete Geometry | Convergence rate | Mathematics | Operations Research, Management Science | Statistics, general | Optimization | Projection and contraction method | MATHEMATICS, APPLIED | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | PREDICTION | Studies | Computer science | Operations research | Mathematical models | Projection | Operators | Computation | Inequalities | Convergence

Variational inequality | Operations Research/Decision Theory | Convex and Discrete Geometry | Convergence rate | Mathematics | Operations Research, Management Science | Statistics, general | Optimization | Projection and contraction method | MATHEMATICS, APPLIED | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | PREDICTION | Studies | Computer science | Operations research | Mathematical models | Projection | Operators | Computation | Inequalities | Convergence

Journal Article

Advances in mathematics (New York. 1965), ISSN 0001-8708, 2010, Volume 224, Issue 3, pp. 910 - 966

It is well known that a Lipschitz function on the real line does not have to be operator Lipschitz...

Operator Hölder functions | Multiple operator integrals | Contractions | Hölder classes | Zygmund class | Unitary operators | Operator Lipschitz function | Self-adjoint operators | Holder classes | INTEGRALS | MATHEMATICS | Operator Holder functions | LIPSCHITZ

Operator Hölder functions | Multiple operator integrals | Contractions | Hölder classes | Zygmund class | Unitary operators | Operator Lipschitz function | Self-adjoint operators | Holder classes | INTEGRALS | MATHEMATICS | Operator Holder functions | LIPSCHITZ

Journal Article

Journal of the London Mathematical Society, ISSN 0024-6107, 2012, Volume 86, Issue 2, pp. 343 - 365

Let T: L-p (Omega) -> L-p (Omega) be a contraction, with 1 < p < infinity, and assume that T is analytic, that is, sup(n >= 1) n vertical bar T-n - Tn-1...

MATHEMATICS | DECOMPOSITIONS | SEMIGROUPS | SECTORIAL OPERATORS | POWER BOUNDEDNESS | REGULARITY | FOURIER MULTIPLIER THEOREMS | CALCULUS | INEQUALITY | ERGODIC-THEOREMS | POSITIVE CONTRACTIONS

MATHEMATICS | DECOMPOSITIONS | SEMIGROUPS | SECTORIAL OPERATORS | POWER BOUNDEDNESS | REGULARITY | FOURIER MULTIPLIER THEOREMS | CALCULUS | INEQUALITY | ERGODIC-THEOREMS | POSITIVE CONTRACTIONS

Journal Article

Integral equations and operator theory, ISSN 1420-8989, 2014, Volume 81, Issue 1, pp. 127 - 150

Doeblin and Dobrushin characterized the contraction rate of Markov operators with respect the total variation norm...

consensus | ordered linear space | zero error capacity | rank one matrix | Analysis | invariant measure | contraction ratio | quantum channel | Mathematics | Markov operator | Dobrushin’s ergodicity coefficient | noncommutative Markov chain | THEOREM | ALGORITHMS | Dobrushin's ergodicity coefficient | MATHEMATICS | CONVERGENCE SPEED | DISTRIBUTED CONSENSUS | Markov processes

consensus | ordered linear space | zero error capacity | rank one matrix | Analysis | invariant measure | contraction ratio | quantum channel | Mathematics | Markov operator | Dobrushin’s ergodicity coefficient | noncommutative Markov chain | THEOREM | ALGORITHMS | Dobrushin's ergodicity coefficient | MATHEMATICS | CONVERGENCE SPEED | DISTRIBUTED CONSENSUS | Markov processes

Journal Article

1988, Mathematical surveys and monographs., ISBN 0821815288, Volume no. 26, xii, 275 p. --

Book

Iranian Journal of Science and Technology, Transactions A: Science, ISSN 1028-6276, 6/2018, Volume 42, Issue 2, pp. 787 - 792

In this paper, we study the notions of accretive operators, contraction mappings, non-expansive mappings using the idea of n (>1...

Yosida’s approximation | Materials Science, general | n -Normed space | Earth Sciences, general | Resolvent operator | q -Series | Engineering | Contraction mapping | q -Genocchi polynomials with weight zero | Frobenius–Euler polynomials | Life Sciences, general | Chemistry/Food Science, general | Engineering, general | Physics, general | Non-expansive mapping | Accretive operator | Fixed point | n-Normed space | q-Series | q-Genocchi polynomials with weight zero | Construction | Operators | Polynomials | Contraction | Weight

Yosida’s approximation | Materials Science, general | n -Normed space | Earth Sciences, general | Resolvent operator | q -Series | Engineering | Contraction mapping | q -Genocchi polynomials with weight zero | Frobenius–Euler polynomials | Life Sciences, general | Chemistry/Food Science, general | Engineering, general | Physics, general | Non-expansive mapping | Accretive operator | Fixed point | n-Normed space | q-Series | q-Genocchi polynomials with weight zero | Construction | Operators | Polynomials | Contraction | Weight

Journal Article

12.
Full Text
FIXED POINT THEOREMS FOR MEIR-KEELER CONDENSING OPERATORS VIA MEASURE OF NONCOMPACTNESS

数学物理学报：B辑英文版, ISSN 0252-9602, 2015, Volume 35, Issue 3, pp. 552 - 566

In this article, we introduce the notion of Meir-Keleer condensing operator in a Banach space, a characterization using L-functions and provide a few generalization of Darbo fixed point theorem...

凝聚算子 | 威盛 | Banach空间 | 解的存在性 | 耦合不动点定理 | Volterra型 | 泛函积分方程 | 非紧性测度 | Darbo fixed point theorem | 47H10 | Measure of noncompactness | couple fixed point | 47H09 | Volterra integral equation | Meir-Keeler condensing operator | INTEGRAL-EQUATION | EXISTENCE | MATHEMATICS | ASYMPTOTIC STABILITY | CONTRACTIONS

凝聚算子 | 威盛 | Banach空间 | 解的存在性 | 耦合不动点定理 | Volterra型 | 泛函积分方程 | 非紧性测度 | Darbo fixed point theorem | 47H10 | Measure of noncompactness | couple fixed point | 47H09 | Volterra integral equation | Meir-Keeler condensing operator | INTEGRAL-EQUATION | EXISTENCE | MATHEMATICS | ASYMPTOTIC STABILITY | CONTRACTIONS

Journal Article

1995, Mathematics and its applications, ISBN 9780792335887, Volume 332, xvi, 313

Book

ACM Transactions on Computational Logic (TOCL), ISSN 1529-3785, 06/2018, Volume 19, Issue 2, pp. 1 - 42

.... In this study here, we present two new sets of belief change operators for logic programs. They focus on preserving the explicit relationships expressed in the rules...

belief change | answer set | Logic program | strong equivalence | Belief change | Answer set | Strong equivalence | REVISION | CONTRACTION | FRAMEWORK | COMPUTER SCIENCE, THEORY & METHODS | LOGIC

belief change | answer set | Logic program | strong equivalence | Belief change | Answer set | Strong equivalence | REVISION | CONTRACTION | FRAMEWORK | COMPUTER SCIENCE, THEORY & METHODS | LOGIC

Journal Article

Mathematische Nachrichten, ISSN 0025-584X, 10/2015, Volume 288, Issue 14-15, pp. 1634 - 1646

We study the convergence of the Prešić type k‐step iterative method for a class of operators f:Xk→X satisfying Prešić...

equilibrium point | 47H10 | 65Q10 | fixed point approximation | global attractivity | matrix difference equation | partial metric | iterative method | 65Q30 | 54H25 | Global attractivity | Iterative method | Partial metric | Matrix difference equation | Fixed point approximation | Equilibrium point | MATHEMATICS | THEOREMS | CONTRACTIONS

equilibrium point | 47H10 | 65Q10 | fixed point approximation | global attractivity | matrix difference equation | partial metric | iterative method | 65Q30 | 54H25 | Global attractivity | Iterative method | Partial metric | Matrix difference equation | Fixed point approximation | Equilibrium point | MATHEMATICS | THEOREMS | CONTRACTIONS

Journal Article

Complex analysis and operator theory, ISSN 1661-8262, 2017, Volume 12, Issue 4, pp. 931 - 943

A tuple of commuting operators $$(S_1,\dots ,S_{n-1},P)$$ (S1,⋯,Sn-1,P) for which the closed symmetrized polydisc $$\Gamma _n$$ Γ...

Canonical decomposition | Spectral set | 47A45 | Mathematics | 47A20 | Operator Theory | Symmetrized polydisc | 47A15 | Analysis | 47A13 | 47A25 | Mathematics, general | Gamma _n$$ Γ n -Contraction | Contraction | MATHEMATICS | MATHEMATICS, APPLIED | GAMMA-CONTRACTIONS | MODELS | BIDISC | Gamma(n)-Contraction

Canonical decomposition | Spectral set | 47A45 | Mathematics | 47A20 | Operator Theory | Symmetrized polydisc | 47A15 | Analysis | 47A13 | 47A25 | Mathematics, general | Gamma _n$$ Γ n -Contraction | Contraction | MATHEMATICS | MATHEMATICS, APPLIED | GAMMA-CONTRACTIONS | MODELS | BIDISC | Gamma(n)-Contraction

Journal Article

Sbornik Mathematics, ISSN 1064-5616, 2015, Volume 206, Issue 7, pp. 921 - 940

We analyze compact multiplicative semigroups of affine operators acting in a finite-dimensional space...

Partition | Affine operator | Primitive matrix | Spectral radius | Self-similarity | MATHEMATICS | primitive matrix | partition | PRODUCTS | MATRICES | EQUATIONS | spectral radius | affine operator | self-similarity | CURVES | SPECTRAL-RADIUS | Operators (mathematics) | Difference equations | Mathematical analysis | Group theory | Norms | Criteria | Invariants | Contraction

Partition | Affine operator | Primitive matrix | Spectral radius | Self-similarity | MATHEMATICS | primitive matrix | partition | PRODUCTS | MATRICES | EQUATIONS | spectral radius | affine operator | self-similarity | CURVES | SPECTRAL-RADIUS | Operators (mathematics) | Difference equations | Mathematical analysis | Group theory | Norms | Criteria | Invariants | Contraction

Journal Article

Indiana University mathematics journal, ISSN 0022-2518, 1/2015, Volume 64, Issue 3, pp. 847 - 873

A commuting pair of operators (S,P) on a Hilbert space 𝓗 is said to be a Γ-contraction if the symmetrized bidisc Γ = {(z1 + z2, z1z2) : |z1|, |z2| ≤ 1...

Spectral sets | Hilbert modules | Beurling-Lax-Halmos theorem | Dilation | Commutant lifting theorem | Symmetrized bidisc | Canonical functional model | commutant lifting theorem | DOMAIN | GAMMA-CONTRACTIONS | canonical functional model | MODEL | RATIONAL DILATION | INTERPOLATION | MATHEMATICS | dilation | spectral sets | NEVANLINNA-PICK PROBLEM

Spectral sets | Hilbert modules | Beurling-Lax-Halmos theorem | Dilation | Commutant lifting theorem | Symmetrized bidisc | Canonical functional model | commutant lifting theorem | DOMAIN | GAMMA-CONTRACTIONS | canonical functional model | MODEL | RATIONAL DILATION | INTERPOLATION | MATHEMATICS | dilation | spectral sets | NEVANLINNA-PICK PROBLEM

Journal Article

Fixed Point Theory and Applications, ISSN 1687-1820, 12/2014, Volume 2014, Issue 1, pp. 1 - 11

A proximal point algorithm with double computational errors for treating zero points of accretive operators is investigated...

accretive operator | Mathematical and Computational Biology | fixed point | Analysis | Mathematics, general | nonexpansive mapping | Mathematics | zero point | Applications of Mathematics | Topology | Differential Geometry | proximal point algorithm | Proximal point algorithm | Zero point | Accretive operator | Nonexpansive mapping | Fixed point | ERRORS | APPROXIMATION | M-ACCRETIVE OPERATORS | STRONG-CONVERGENCE THEOREMS | ITERATIVE ALGORITHMS | MATHEMATICS | SEMIGROUPS | EQUILIBRIUM PROBLEMS | FIXED-POINTS | Fixed point theory | Usage | Convergence (Mathematics) | Contraction operators

accretive operator | Mathematical and Computational Biology | fixed point | Analysis | Mathematics, general | nonexpansive mapping | Mathematics | zero point | Applications of Mathematics | Topology | Differential Geometry | proximal point algorithm | Proximal point algorithm | Zero point | Accretive operator | Nonexpansive mapping | Fixed point | ERRORS | APPROXIMATION | M-ACCRETIVE OPERATORS | STRONG-CONVERGENCE THEOREMS | ITERATIVE ALGORITHMS | MATHEMATICS | SEMIGROUPS | EQUILIBRIUM PROBLEMS | FIXED-POINTS | Fixed point theory | Usage | Convergence (Mathematics) | Contraction operators

Journal Article

Fixed Point Theory and Applications, ISSN 1687-1820, 12/2014, Volume 2014, Issue 1, pp. 1 - 14

... and obtain a surjective result for the mapping , where . Second, we show the existence of solutions of the variational inequality problems for strictly quasi-monotone operators and semi-monotone operators...

Mathematical and Computational Biology | Analysis | Mathematics, general | Mathematics | Applications of Mathematics | Topology | Differential Geometry | EXISTENCE | MATHEMATICS | INEQUALITIES | STAMPACCHIA | THEOREMS | MINTY | MAPPINGS | EQUILIBRIUM PROBLEMS | TOPOLOGICAL-DEGREE THEORY | EKELANDS VARIATIONAL PRINCIPLE | Fixed point theory | Usage | Banach spaces | Contraction operators | Operators | Construction | Mapping | Banach space | Inequalities

Mathematical and Computational Biology | Analysis | Mathematics, general | Mathematics | Applications of Mathematics | Topology | Differential Geometry | EXISTENCE | MATHEMATICS | INEQUALITIES | STAMPACCHIA | THEOREMS | MINTY | MAPPINGS | EQUILIBRIUM PROBLEMS | TOPOLOGICAL-DEGREE THEORY | EKELANDS VARIATIONAL PRINCIPLE | Fixed point theory | Usage | Banach spaces | Contraction operators | Operators | Construction | Mapping | Banach space | Inequalities

Journal Article

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