Applied Mathematics Letters, ISSN 0893-9659, 02/2016, Volume 52, pp. 212 - 219

This note considers the hyper-contractivity and the uniqueness of the weak solutions to the two dimensional Keller–Segel equations. We prove a refined...

[formula omitted] space | Semi-group theory | Hyper-contractivity | Uniqueness | MATHEMATICS, APPLIED | 2-DIMENSIONAL NAVIER-STOKES | CRITICAL MASS | DEGENERATE | L log L space | MODEL | WEAK SOLUTIONS | GLOBAL-SOLUTIONS | EULER EQUATIONS

[formula omitted] space | Semi-group theory | Hyper-contractivity | Uniqueness | MATHEMATICS, APPLIED | 2-DIMENSIONAL NAVIER-STOKES | CRITICAL MASS | DEGENERATE | L log L space | MODEL | WEAK SOLUTIONS | GLOBAL-SOLUTIONS | EULER EQUATIONS

Journal Article

2.
Full Text
Existence and uniqueness of best proximity points under rational contractivity conditions

Mathematica Slovaca, ISSN 0139-9918, 12/2016, Volume 66, Issue 6, pp. 1427 - 1442

The main aim of this paper is to present some theorems in order to guarantee existence and uniqueness of best proximity points under rational contractivity...

47H10 | Primary 46T99 | fixed point | 47H09 | property | best proximity point | rational contractive condition | 54H25 | weak | weak P-property | P-property | MATHEMATICS | THEOREMS | FIXED-POINT | CONVERGENCE

47H10 | Primary 46T99 | fixed point | 47H09 | property | best proximity point | rational contractive condition | 54H25 | weak | weak P-property | P-property | MATHEMATICS | THEOREMS | FIXED-POINT | CONVERGENCE

Journal Article

Demonstratio Mathematica, ISSN 0420-1213, 06/2013, Volume 46, Issue 2, pp. 373 - 382

In 2006, I. Beg and M. Abbas have studied the existence of coincidence and common fixed points for two mappings satisfying a weak contractive condition. Their...

common fixed points for four self-mappings | 47H10 | coincidence points | weak contractions | well-posed common fixed point problem for a set of mappings | weak compatible mappings | 54H25 | Common fixed points for four self-mappings | φ-weak contractions | Coincidence points | Weak compatible mappings | Well-posed common fixed point problem for a set of mappings

common fixed points for four self-mappings | 47H10 | coincidence points | weak contractions | well-posed common fixed point problem for a set of mappings | weak compatible mappings | 54H25 | Common fixed points for four self-mappings | φ-weak contractions | Coincidence points | Weak compatible mappings | Well-posed common fixed point problem for a set of mappings

Journal Article

Electronic Communications in Probability, ISSN 1083-589X, 01/2018, Volume 23

A Lindley process arises from classical studies in queueing theory and it usually reflects waiting times of customers in single server models. In this note we...

Lindley process | Local contractivity | Stable process | Random walk | Ladder epoch | stable process | random walk | RANDOM-WALKS | STATISTICS & PROBABILITY | ladder epoch | STOCHASTIC DYNAMICAL-SYSTEMS | WEAK CONTRACTIVITY | local contractivity

Lindley process | Local contractivity | Stable process | Random walk | Ladder epoch | stable process | random walk | RANDOM-WALKS | STATISTICS & PROBABILITY | ladder epoch | STOCHASTIC DYNAMICAL-SYSTEMS | WEAK CONTRACTIVITY | local contractivity

Journal Article

Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 07/2017, Volume 451, Issue 1, pp. 544 - 564

The subnormality of a Hilbert space operator may be characterized either by the Bram–Halmos conditions (positivity of certain operator matrices) or the...

k-hyponormality | Weighted shift | Subnormality | Weak subnormalities | n-contractivity | MATHEMATICS | MATHEMATICS, APPLIED | GENERATED WEIGHTED SHIFTS | N-HYPERCONTRACTIVE OPERATORS | SUBNORMAL COMPLETION PROBLEM | HYPEREXPANSIVE OPERATORS

k-hyponormality | Weighted shift | Subnormality | Weak subnormalities | n-contractivity | MATHEMATICS | MATHEMATICS, APPLIED | GENERATED WEIGHTED SHIFTS | N-HYPERCONTRACTIVE OPERATORS | SUBNORMAL COMPLETION PROBLEM | HYPEREXPANSIVE OPERATORS

Journal Article

The Annals of Probability, ISSN 0091-1798, 5/2015, Volume 43, Issue 3, pp. 1456 - 1492

We consider stochastic dynamical systems on ℝ, that is, random processes defined by $X_{n}^{x}=\Psi_{n}(X_{n-1}^{x})$, $X_{0}^{x}=x$, where Ψn are i.i.d....

Reflected random walk | Stochastic dynamical system | Poisson equation | Affine recursion | Stochastic recurrence equation | Invariant measure | EQUATION X-N | stochastic dynamical system | RANDOM-WALKS | affine recursion | LIMIT-THEOREM | RECURSIONS | invariant measure | STATISTICS & PROBABILITY | reflected random walk | WEAK CONTRACTIVITY | 60B15 | 60K05 | 60J05 | 37Hxx

Reflected random walk | Stochastic dynamical system | Poisson equation | Affine recursion | Stochastic recurrence equation | Invariant measure | EQUATION X-N | stochastic dynamical system | RANDOM-WALKS | affine recursion | LIMIT-THEOREM | RECURSIONS | invariant measure | STATISTICS & PROBABILITY | reflected random walk | WEAK CONTRACTIVITY | 60B15 | 60K05 | 60J05 | 37Hxx

Journal Article

7.
On existence and uniqueness of best proximity points under a popescu's type contractivity condition

Journal of Nonlinear and Convex Analysis, ISSN 1345-4773, 2015, Volume 16, Issue 3, pp. 529 - 538

The main purpose of this paper is to present a best proximity point theorem. The novelty of the result is that assumption relative to the contractivity...

P-property | Best proximity point | Weak p-property | Fixed point | MATHEMATICS | MATHEMATICS, APPLIED | fixed point | THEOREMS | weak P-property | CONVERGENCE

P-property | Best proximity point | Weak p-property | Fixed point | MATHEMATICS | MATHEMATICS, APPLIED | fixed point | THEOREMS | weak P-property | CONVERGENCE

Journal Article

8.
Full Text
On existence and structure of semiattractors for dynamical systems represented by cocycles

Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 07/2019, Volume 475, Issue 2, pp. 1304 - 1316

We present a new sufficient condition for existence of semiattractors for set-valued semiflows of state multifunctions associated with general cocycle...

Iterated function system | Weak contractivity | Topological limit | Fibers of semiattractor | Cocycle | Semiattractor | MATHEMATICS | ATTRACTORS | MATHEMATICS, APPLIED | FAMILIES | MARKOV OPERATORS

Iterated function system | Weak contractivity | Topological limit | Fibers of semiattractor | Cocycle | Semiattractor | MATHEMATICS | ATTRACTORS | MATHEMATICS, APPLIED | FAMILIES | MARKOV OPERATORS

Journal Article

ALEA-LATIN AMERICAN JOURNAL OF PROBABILITY AND MATHEMATICAL STATISTICS, ISSN 1980-0436, 2013, Volume 10, Issue 2, pp. 591 - 607

In this article we refine well-known results concerning the fluctuations of one-dimensional random walks. More precisely, if (S-n)(n)>= 0 is a random walk...

Fluctuations | Hitting times | Wiener-Hopf factorization | Random walk on R | STATISTICS & PROBABILITY | STOCHASTIC DYNAMICAL-SYSTEMS | WEAK CONTRACTIVITY

Fluctuations | Hitting times | Wiener-Hopf factorization | Random walk on R | STATISTICS & PROBABILITY | STOCHASTIC DYNAMICAL-SYSTEMS | WEAK CONTRACTIVITY

Journal Article

Fixed Point Theory and Applications, ISSN 1687-1820, 12/2015, Volume 2015, Issue 1, pp. 1 - 21

We survey recent results regarding genericity and porosity in fixed point theory. These results concern, inter alia, infinite products, nonexpansive mappings,...

bounded linear regularity | complete metric space | nonexpansive mapping | Mathematics | hyperbolic space | 54H25 | weak ergodic theorem | 47H09 | Mathematics, general | set-valued mapping | Applications of Mathematics | Differential Geometry | holomorphic mapping | 54E52 | 54E50 | 46T25 | Mathematical and Computational Biology | contractive mapping | Topology | Banach space | porous set | 47H10 | Baire category | 37C20 | 46G20 | fixed point | Analysis | approximate fixed point | infinite product | CONTRACTIVITY | MATHEMATICS | SETS | MAPPINGS | Ergodic theory | Fixed point theory | Usage | Banach spaces | Theorems | Fixed points (mathematics) | Approximation | Metric space | Mathematical analysis | Mapping | Porosity | Regularity | Ergodic processes

bounded linear regularity | complete metric space | nonexpansive mapping | Mathematics | hyperbolic space | 54H25 | weak ergodic theorem | 47H09 | Mathematics, general | set-valued mapping | Applications of Mathematics | Differential Geometry | holomorphic mapping | 54E52 | 54E50 | 46T25 | Mathematical and Computational Biology | contractive mapping | Topology | Banach space | porous set | 47H10 | Baire category | 37C20 | 46G20 | fixed point | Analysis | approximate fixed point | infinite product | CONTRACTIVITY | MATHEMATICS | SETS | MAPPINGS | Ergodic theory | Fixed point theory | Usage | Banach spaces | Theorems | Fixed points (mathematics) | Approximation | Metric space | Mathematical analysis | Mapping | Porosity | Regularity | Ergodic processes

Journal Article

Journal of Fixed Point Theory and Applications, ISSN 1661-7738, 9/2016, Volume 18, Issue 3, pp. 627 - 643

Using fixed point theory, we present a sufficient condition for the existence of a positive definite solution of the nonlinear matrix equation $${X = Q \pm...

weak contraction | G -metric space | Mathematics | lower semicontinuous function | Mathematical Methods in Physics | 47H10 | partially ordered set | 15A24 | fixed point | Analysis | 47H09 | Mathematics, general | Matrix equation | METRIC SPACES | MATHEMATICS | MATHEMATICS, APPLIED | FIXED-POINT THEOREM | G-metric space | Questions and answers

weak contraction | G -metric space | Mathematics | lower semicontinuous function | Mathematical Methods in Physics | 47H10 | partially ordered set | 15A24 | fixed point | Analysis | 47H09 | Mathematics, general | Matrix equation | METRIC SPACES | MATHEMATICS | MATHEMATICS, APPLIED | FIXED-POINT THEOREM | G-metric space | Questions and answers

Journal Article

Journal of Differential Equations, ISSN 0022-0396, 12/2019, Volume 267, Issue 12, pp. 7002 - 7046

In this paper a fluid-structure interaction problem for incompressible Newtonian fluids is studied. We prove the convergence of an iterative process with...

Continuous dependence on data | Incompressible Newtonian fluid | Fixed point iterations | Hemodynamics | Fluid-structure interaction | EXISTENCE | MATHEMATICS | UNSTEADY INTERACTION | DOMAIN | NAVIER-STOKES EQUATIONS | WEAK SOLUTIONS | VISCOUS-FLUID

Continuous dependence on data | Incompressible Newtonian fluid | Fixed point iterations | Hemodynamics | Fluid-structure interaction | EXISTENCE | MATHEMATICS | UNSTEADY INTERACTION | DOMAIN | NAVIER-STOKES EQUATIONS | WEAK SOLUTIONS | VISCOUS-FLUID

Journal Article

Journal of Differential Equations, ISSN 0022-0396, 02/2019, Volume 266, Issue 4, pp. 2142 - 2174

In this paper we rigorously justify the propagation of chaos for the parabolic–elliptic Keller–Segel equation over bounded convex domains. The boundary...

Newtonian potential | Chemotaxis | Mean-field limit | Coupling method | Uniqueness | Wasserstein metric | SYSTEM | STOCHASTIC DIFFERENTIAL-EQUATIONS | WELL-POSEDNESS | MODEL | MATHEMATICS | PARTICLE BLOB METHOD | DEGENERATE | WEAK SOLUTIONS | AGGREGATION

Newtonian potential | Chemotaxis | Mean-field limit | Coupling method | Uniqueness | Wasserstein metric | SYSTEM | STOCHASTIC DIFFERENTIAL-EQUATIONS | WELL-POSEDNESS | MODEL | MATHEMATICS | PARTICLE BLOB METHOD | DEGENERATE | WEAK SOLUTIONS | AGGREGATION

Journal Article

Zeitschrift für angewandte Mathematik und Physik, ISSN 0044-2275, 12/2016, Volume 67, Issue 6, pp. 1 - 29

We propose and study a strongly coupled PDE–ODE system with tissue-dependent degenerate diffusion and haptotaxis that can serve as a model prototype for cancer...

35K20 | 35K51 | Parabolic system | Haptotaxis | 35B45 | 35K59 | 92C17 | Theoretical and Applied Mechanics | 35K65 | 35Q92 | Engineering | Mathematical Methods in Physics | Weak solution | 35D30 | Degenerate diffusion | Global existence | Cancer cell invasion | MATHEMATICS, APPLIED | CELL INVASION | TISSUE | BOUNDEDNESS | NONLINEAR DIFFUSION | ADHESION | LOGISTIC SOURCE | AGGREGATION | Models | Numerical analysis | Analysis | Cancer | Applications of mathematics | Computer simulation | Matrices (mathematics) | Mathematical analysis | Two dimensional models | Mathematical models | Diffusion | Mathematics - Analysis of PDEs

35K20 | 35K51 | Parabolic system | Haptotaxis | 35B45 | 35K59 | 92C17 | Theoretical and Applied Mechanics | 35K65 | 35Q92 | Engineering | Mathematical Methods in Physics | Weak solution | 35D30 | Degenerate diffusion | Global existence | Cancer cell invasion | MATHEMATICS, APPLIED | CELL INVASION | TISSUE | BOUNDEDNESS | NONLINEAR DIFFUSION | ADHESION | LOGISTIC SOURCE | AGGREGATION | Models | Numerical analysis | Analysis | Cancer | Applications of mathematics | Computer simulation | Matrices (mathematics) | Mathematical analysis | Two dimensional models | Mathematical models | Diffusion | Mathematics - Analysis of PDEs

Journal Article

Fixed Point Theory and Applications, ISSN 1687-1820, 12/2016, Volume 2016, Issue 1, pp. 1 - 19

The first purpose of this paper is to prove an existence and uniqueness result for the multivariate fixed point of a contraction type mapping in complete...

differential equation | multivariate mapping | Mathematical and Computational Biology | multivariate fixed point | multiply metric function | Mathematics | Topology | complete metric spaces | contraction mapping principle | Analysis | Mathematics, general | Applications of Mathematics | Differential Geometry | strong and weak convergence | Fixed point theory | Usage | Differential equations | Contraction operators | Tests, problems and exercises | Theorems | Fixed points (mathematics) | Metric space | Theorem proving | Uniqueness | Paper | Mapping | Convergence

differential equation | multivariate mapping | Mathematical and Computational Biology | multivariate fixed point | multiply metric function | Mathematics | Topology | complete metric spaces | contraction mapping principle | Analysis | Mathematics, general | Applications of Mathematics | Differential Geometry | strong and weak convergence | Fixed point theory | Usage | Differential equations | Contraction operators | Tests, problems and exercises | Theorems | Fixed points (mathematics) | Metric space | Theorem proving | Uniqueness | Paper | Mapping | Convergence

Journal Article

Stochastic Processes and their Applications, ISSN 0304-4149, 1996, Volume 65, Issue 2, pp. 147 - 170

We propose two general methods for coupling marked point processes (MPPs) on the real half-line that are explicitly formulated in terms of (canonical)...

60G55 | Marked point process | Coupling | Weak ergodicity | Compensator | coupling | marked point process | weak ergodicity | STATISTICS & PROBABILITY | POINT-PROCESSES | TIME | compensator | K XY STATISTICS & PROBABILITY | Coupling Marked point process Compensator Weak ergodicity

60G55 | Marked point process | Coupling | Weak ergodicity | Compensator | coupling | marked point process | weak ergodicity | STATISTICS & PROBABILITY | POINT-PROCESSES | TIME | compensator | K XY STATISTICS & PROBABILITY | Coupling Marked point process Compensator Weak ergodicity

Journal Article

Journal de mathématiques pures et appliquées, ISSN 0021-7824, 2006, Volume 86, Issue 1, pp. 42 - 67

A potential theoretic comparison technique is developed, which yields the conjectured optimal rate of convergence as t → ∞ for solutions of the fast diffusion...

Moments | Large time convergence rate | Newtonian potential | Fast nonlinear diffusion | SINGULAR DIFFUSION | MATHEMATICS, APPLIED | CAUCHY-PROBLEM | EVOLUTION-EQUATIONS | fast nonlinear diffusion | large time convergence rate | C-INFINITY-REGULARITY | ASYMPTOTIC-BEHAVIOR | MATHEMATICS | SELF-SIMILARITY | moments | POROUS-MEDIUM EQUATION | SCALAR CONSERVATION-LAWS | GAS | WEAK SOLUTIONS

Moments | Large time convergence rate | Newtonian potential | Fast nonlinear diffusion | SINGULAR DIFFUSION | MATHEMATICS, APPLIED | CAUCHY-PROBLEM | EVOLUTION-EQUATIONS | fast nonlinear diffusion | large time convergence rate | C-INFINITY-REGULARITY | ASYMPTOTIC-BEHAVIOR | MATHEMATICS | SELF-SIMILARITY | moments | POROUS-MEDIUM EQUATION | SCALAR CONSERVATION-LAWS | GAS | WEAK SOLUTIONS

Journal Article

IMA Journal of Numerical Analysis, ISSN 0272-4979, 10/2003, Volume 23, Issue 4, pp. 593 - 626

Langevin type equations are an important and fairly large class of systems close to Hamiltonian ones. The constructed mean-square and weak quasi-symplectic...

Symplectic and quasisymplectic numerical methods | Langevin equations | Mean-square and weak schemes | Stochastic Hamiltonian systems | NUMERICAL-METHODS | MATHEMATICS, APPLIED | STOCHASTIC DIFFERENTIAL-EQUATIONS | INTEGRATION | HAMILTONIAN-SYSTEMS | stochastic Hamiltonian systems | mean-square and weak schemes | SIMULATION | symplectic and quasi-symplectic numerical methods

Symplectic and quasisymplectic numerical methods | Langevin equations | Mean-square and weak schemes | Stochastic Hamiltonian systems | NUMERICAL-METHODS | MATHEMATICS, APPLIED | STOCHASTIC DIFFERENTIAL-EQUATIONS | INTEGRATION | HAMILTONIAN-SYSTEMS | stochastic Hamiltonian systems | mean-square and weak schemes | SIMULATION | symplectic and quasi-symplectic numerical methods

Journal Article

Potential Analysis, ISSN 0926-2601, 8/2015, Volume 43, Issue 2, pp. 241 - 267

It is well known that Mosco (type) convergence is a tool in order to verify weak convergence of finite dimensional distributions of sequences of stochastic...

Geometry | Weak convergence | n -particle systems | Potential Theory | Functional Analysis | Probability Theory and Stochastic Processes | Mathematics | 60K35 | 60J35 | Mosco type convergence | 47D07 | n-particle systems | MATHEMATICS | DIRICHLET FORMS | DIFFUSION-PROCESSES | Stochastic processes | Naturvetenskap | Natural Sciences | Matematik | Mosco type convergence; Weak convergence; n-particle systems

Geometry | Weak convergence | n -particle systems | Potential Theory | Functional Analysis | Probability Theory and Stochastic Processes | Mathematics | 60K35 | 60J35 | Mosco type convergence | 47D07 | n-particle systems | MATHEMATICS | DIRICHLET FORMS | DIFFUSION-PROCESSES | Stochastic processes | Naturvetenskap | Natural Sciences | Matematik | Mosco type convergence; Weak convergence; n-particle systems

Journal Article

MATHEMATICAL METHODS OF OPERATIONS RESEARCH, ISSN 1432-2994, 04/2020, Volume 91, Issue 2, pp. 201 - 240

The Douglas-Rachford algorithm is an optimization method that can be used for solving feasibility problems. To apply the method, it is necessary that the...

Douglas-Rachford | PROJECTION | MATHEMATICS, APPLIED | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | PHASE RETRIEVAL | Projection methods | WEAK-CONVERGENCE | Eight queens problem | POINT | Feasibility problem | LINEAR CONVERGENCE | ASYMPTOTIC-BEHAVIOR | Problems | Feasibility | Algorithms | Combinatorial analysis | Optimization | Convergence

Douglas-Rachford | PROJECTION | MATHEMATICS, APPLIED | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | PHASE RETRIEVAL | Projection methods | WEAK-CONVERGENCE | Eight queens problem | POINT | Feasibility problem | LINEAR CONVERGENCE | ASYMPTOTIC-BEHAVIOR | Problems | Feasibility | Algorithms | Combinatorial analysis | Optimization | Convergence

Journal Article

No results were found for your search.

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