2006, ISBN 9780387342207, xii, 276

Book

2006, 2nd ed., Topological fixed point theory and its applications, ISBN 9781402046650, Volume 4, x, 538

This book is devoted to the topological fixed point theory of multivalued mappings including applications to differential inclusions and mathematical economy....

Fixed point theory | Set-valued maps

Fixed point theory | Set-valued maps

Book

Fixed Point Theory and Applications, ISSN 1687-1820, 12/2016, Volume 2016, Issue 1, pp. 1 - 18

As an extension of the class of ( α , ψ ) $(\alpha,\psi)$ -Meir-Keeler-Khan single-valued mappings defined by Redjel et al., a new type of ( α , ψ )...

α -continuous mapping | α -admissible function | Mathematical and Computational Biology | Mathematics | Topology | 47H10 | Analysis | 47H09 | Mathematics, general | ( α , ψ ) $(\alpha,\psi)$ -Meir-Keeler-Khan multivalued mappings | 49M05 | approximate endpoint property | Applications of Mathematics | Differential Geometry | α-admissible function | (α,ψ)-Meir-Keeler-Khan multivalued mappings | α-continuous mapping | Theorems (Mathematics) | Fixed point theory | Usage | Mappings (Mathematics) | Texts | Theorems | Fixed points (mathematics) | Mapping

α -continuous mapping | α -admissible function | Mathematical and Computational Biology | Mathematics | Topology | 47H10 | Analysis | 47H09 | Mathematics, general | ( α , ψ ) $(\alpha,\psi)$ -Meir-Keeler-Khan multivalued mappings | 49M05 | approximate endpoint property | Applications of Mathematics | Differential Geometry | α-admissible function | (α,ψ)-Meir-Keeler-Khan multivalued mappings | α-continuous mapping | Theorems (Mathematics) | Fixed point theory | Usage | Mappings (Mathematics) | Texts | Theorems | Fixed points (mathematics) | Mapping

Journal Article

Journal of Theoretical Biology, ISSN 0022-5193, 02/2011, Volume 270, Issue 1, pp. 177 - 184

This paper deals with the generalized logical framework defined by René Thomas in the 70's to qualitatively represent the dynamics of regulatory networks. In...

Boolean modelling | Multivalued modelling | Gene Regulatory Networks | Cell dynamics | CROSS-REGULATORY MODULE | IMMUNE-RESPONSE | MULTISTATIONARITY | ROBUSTNESS | STEADY-STATES | NETWORKS | FLY EMBRYO | CIRCUITS | MODELS | LOGICAL ANALYSIS | BIOLOGY | MATHEMATICAL & COMPUTATIONAL BIOLOGY | Algorithms | Cell Nucleus - metabolism | Models, Biological | Tumor Suppressor Protein p53 - metabolism | Cytoplasm - metabolism | Gene Regulatory Networks - physiology | Proto-Oncogene Proteins c-mdm2 - metabolism | Index Medicus | Life Sciences | Mathematics | Combinatorics | Quantitative Methods

Boolean modelling | Multivalued modelling | Gene Regulatory Networks | Cell dynamics | CROSS-REGULATORY MODULE | IMMUNE-RESPONSE | MULTISTATIONARITY | ROBUSTNESS | STEADY-STATES | NETWORKS | FLY EMBRYO | CIRCUITS | MODELS | LOGICAL ANALYSIS | BIOLOGY | MATHEMATICAL & COMPUTATIONAL BIOLOGY | Algorithms | Cell Nucleus - metabolism | Models, Biological | Tumor Suppressor Protein p53 - metabolism | Cytoplasm - metabolism | Gene Regulatory Networks - physiology | Proto-Oncogene Proteins c-mdm2 - metabolism | Index Medicus | Life Sciences | Mathematics | Combinatorics | Quantitative Methods

Journal Article

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

In this paper, we introduce the concept of ( α , ψ ) $(\alpha,\psi)$ -rational type contractive mappings and provide sufficient conditions for the existence...

Mathematical and Computational Biology | Mathematics | Topology | 54H25 | metric space | 47H10 | fixed point | Analysis | Mathematics, general | Applications of Mathematics | Differential Geometry | α -admissible | contraction mappings | α-admissible | MATHEMATICS | METRIC-SPACES | MULTIVALUED MAPPINGS | PSI | alpha-admissible | PHI-CONTRACTIONS | Fixed point theory | Usage | Mappings (Mathematics) | Theorems | Fixed points (mathematics) | Metric space | Uniqueness | Texts | Nonlinearity | Mapping

Mathematical and Computational Biology | Mathematics | Topology | 54H25 | metric space | 47H10 | fixed point | Analysis | Mathematics, general | Applications of Mathematics | Differential Geometry | α -admissible | contraction mappings | α-admissible | MATHEMATICS | METRIC-SPACES | MULTIVALUED MAPPINGS | PSI | alpha-admissible | PHI-CONTRACTIONS | Fixed point theory | Usage | Mappings (Mathematics) | Theorems | Fixed points (mathematics) | Metric space | Uniqueness | Texts | Nonlinearity | Mapping

Journal Article

Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 02/2018, Volume 458, Issue 2, pp. 1214 - 1235

Given a (finitely additive) full conditional probability space and a conditional measurable space , a multivalued mapping Γ from to induces a class of full...

Multivalued mapping | Lower conditional prevision | Finite additivity | Probability envelopes | Totally monotone capacity | MATHEMATICS | MATHEMATICS, APPLIED | RANDOM SETS | PREVISIONS | GAMES | REPRESENTATION | BELIEF FUNCTIONS

Multivalued mapping | Lower conditional prevision | Finite additivity | Probability envelopes | Totally monotone capacity | MATHEMATICS | MATHEMATICS, APPLIED | RANDOM SETS | PREVISIONS | GAMES | REPRESENTATION | BELIEF FUNCTIONS

Journal Article

2002, Series in mathematical analysis and applications, ISBN 0415284244, Volume 4, viii, 467

Interest in the mathematical analysis of multi-functions has increased rapidly over the past thirty years, partly because of its applications in fields such as...

Nonlinear theories | Set-valued maps

Nonlinear theories | Set-valued maps

Book

Fixed Point Theory and Applications, ISSN 1687-1820, 2015, Volume 2015, Issue 1, pp. 1 - 11

In this paper, we prove some strong and Delta-convergence theorems for a finite family of multivalued quasi-nonexpansive mappings satisfying condition (E) in...

CAT(κ) spaces | fixed points | multivalued quasi-nonexpansive mappings | MATHEMATICS | ISHIKAWA ITERATION | THEOREMS | MANN | DELTA-CONVERGENCE | CAT(kappa) spaces | Fixed point theory | Convergence (Mathematics) | Analysis | Mappings (Mathematics)

CAT(κ) spaces | fixed points | multivalued quasi-nonexpansive mappings | MATHEMATICS | ISHIKAWA ITERATION | THEOREMS | MANN | DELTA-CONVERGENCE | CAT(kappa) spaces | Fixed point theory | Convergence (Mathematics) | Analysis | Mappings (Mathematics)

Journal Article

Nonlinear Analysis, ISSN 0362-546X, 09/2016, Volume 143, pp. 64 - 88

We are concerned in this paper with the existence, boundedness, and the convergence of solutions to a sequence of inclusions where is a maximal monotone...

Multivalued mapping | Maximal monotone mapping | Mapping of class [formula omitted] | Generalized pseudomonotone mapping | Mapping of class (S) | VARIATIONAL-INEQUALITIES | MATHEMATICS | MATHEMATICS, APPLIED | TOPOLOGICAL-DEGREE | SPACES | Mapping of class (S)(+) | OPERATORS | LOWER ORDER TERMS | Nonlinearity | Mapping | Banach space | Inclusions | Convergence

Multivalued mapping | Maximal monotone mapping | Mapping of class [formula omitted] | Generalized pseudomonotone mapping | Mapping of class (S) | VARIATIONAL-INEQUALITIES | MATHEMATICS | MATHEMATICS, APPLIED | TOPOLOGICAL-DEGREE | SPACES | Mapping of class (S)(+) | OPERATORS | LOWER ORDER TERMS | Nonlinearity | Mapping | Banach space | Inclusions | Convergence

Journal Article

Set-valued analysis, ISSN 0927-6947, 1993

Journal

ZAMM ‐ Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, ISSN 0044-2267, 11/2016, Volume 96, Issue 11, pp. 1318 - 1338

In this paper we explore a numerical solution to elastoplastic constitutive initial value problems. An improved form of the implicit return‐mapping scheme for...

implicit return‐mapping scheme | Elastoplasticity | 74C05 | 74S05 | limit analysis | 90C25 | nonsmooth yield surface | semismooth Newton method | 35Q74 | multivalued flow direction | implicit return-mapping scheme | MATHEMATICS, APPLIED | ALGORITHM | MODEL | FAILURE | CONCRETE | MECHANICS | NEWTON METHOD | ELASTOPLASTIC PROBLEMS | CONVERGENCE | Nonlinear programming | Nonlinear equations | Construction | Hydrostatics | Nonlinearity | Initial value problems | Mathematical models | Matlab

implicit return‐mapping scheme | Elastoplasticity | 74C05 | 74S05 | limit analysis | 90C25 | nonsmooth yield surface | semismooth Newton method | 35Q74 | multivalued flow direction | implicit return-mapping scheme | MATHEMATICS, APPLIED | ALGORITHM | MODEL | FAILURE | CONCRETE | MECHANICS | NEWTON METHOD | ELASTOPLASTIC PROBLEMS | CONVERGENCE | Nonlinear programming | Nonlinear equations | Construction | Hydrostatics | Nonlinearity | Initial value problems | Mathematical models | Matlab

Journal Article

Mathematical Methods in the Applied Sciences, ISSN 0170-4214, 11/2018, Volume 41, Issue 17, pp. 7147 - 7157

In recent years, many authors have introduced some fixed point theorems for multivalued quasi‐contraction whose contractivity constants α belonged to the...

strict fixed point | quasi‐contraction | fixed point | multivalued mapping | Pompeiu‐Hausdorff metric | Multivalued mapping | Quasi-contraction | Pompeiu-hausdorff metric | Fixed point | Strict fixed point | MATHEMATICS, APPLIED | Pompeiu-Hausdorff metric | FIXED-POINT THEORY | quasi-contraction | Fixed points (mathematics)

strict fixed point | quasi‐contraction | fixed point | multivalued mapping | Pompeiu‐Hausdorff metric | Multivalued mapping | Quasi-contraction | Pompeiu-hausdorff metric | Fixed point | Strict fixed point | MATHEMATICS, APPLIED | Pompeiu-Hausdorff metric | FIXED-POINT THEORY | quasi-contraction | Fixed points (mathematics)

Journal Article

2008, ISBN 9789812704672, xiv, 612

Book

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

The purpose of this paper is to prove the strong convergence of the Ishikawa iteration processes for some generalized multivalued nonexpansive mappings in the...

Ishikawa iteration | Multivalued mapping | CAT(κ) space | Strong convergence | Fixed point | MATHEMATICS, APPLIED | NONEXPANSIVE-MAPPINGS | MULTIMAPS | CAT(kappa) space | multivalued mapping | strong convergence | MATHEMATICS | fixed point | BANACH-SPACES | MANN | CAT SPACES | FIXED-POINTS | STRONG-CONVERGENCE | Fixed point theory | Analysis | Iterative methods (Mathematics) | Contraction operators

Ishikawa iteration | Multivalued mapping | CAT(κ) space | Strong convergence | Fixed point | MATHEMATICS, APPLIED | NONEXPANSIVE-MAPPINGS | MULTIMAPS | CAT(kappa) space | multivalued mapping | strong convergence | MATHEMATICS | fixed point | BANACH-SPACES | MANN | CAT SPACES | FIXED-POINTS | STRONG-CONVERGENCE | Fixed point theory | Analysis | Iterative methods (Mathematics) | Contraction operators

Journal Article

2014, ISBN 9789400776838, Volume 275, 16

Reference

Siberian Mathematical Journal, ISSN 0037-4466, 03/2018, Volume 59, Issue 2, pp. 357 - 362

We prove that an open mapping of compact metric spaces can be made alpha-covering if the metric of the image is changed. An example is given in which this...

submetry | covering mapping | multivalued mapping | open mapping | MATHEMATICS | COINCIDENCE POINTS

submetry | covering mapping | multivalued mapping | open mapping | MATHEMATICS | COINCIDENCE POINTS

Journal Article

UPB Scientific Bulletin, Series A: Applied Mathematics and Physics, ISSN 1223-7027, 2018, Volume 80, Issue 4, pp. 109 - 116

In this paper we establish a multivalued contraction mapping principle in a space which is a generalization of metric spaces in which infinite distance between...

Generalized Hausdorff metric | Multivalued mapping | Partially ordered set | Multivalued monotone increasing mapping | generalized Hausdorff metric | MATHEMATICS, APPLIED | FIXED-POINT THEOREMS | multivalued monotone increasing mapping | partially ordered set | PHYSICS, MULTIDISCIPLINARY | MULTIVALUED MAPPINGS | PARTIALLY ORDERED SETS

Generalized Hausdorff metric | Multivalued mapping | Partially ordered set | Multivalued monotone increasing mapping | generalized Hausdorff metric | MATHEMATICS, APPLIED | FIXED-POINT THEOREMS | multivalued monotone increasing mapping | partially ordered set | PHYSICS, MULTIDISCIPLINARY | MULTIVALUED MAPPINGS | PARTIALLY ORDERED SETS

Journal Article

Nonlinear Analysis, Theory, Methods and Applications, ISSN 0362-546X, 01/2012, Volume 75, Issue 2, pp. 459 - 468

We prove a strong convergence theorem for multivalued nonexpansive mappings which includes Kirk's convergence theorem on CAT(0) spaces. The theorem properly...

CAT space | Strong convergence | Multivalued nonexpansive mapping | Fixed point | MATHEMATICS | MATHEMATICS, APPLIED | BANACH-SPACES | FIXED-POINTS

CAT space | Strong convergence | Multivalued nonexpansive mapping | Fixed point | MATHEMATICS | MATHEMATICS, APPLIED | BANACH-SPACES | FIXED-POINTS

Journal Article

Fixed Point Theory and Applications, ISSN 1687-1820, 12/2013, Volume 2013, Issue 1, pp. 1 - 20

We prove some coupled coincidence and coupled common fixed point theorems for mappings satisfying -contractive conditions in partially ordered complete...

mixed g -monotone property | b -metric space | Mathematical and Computational Biology | Mathematics | Topology | coupled common fixed point | partially ordered set | Analysis | coupled fixed point | Mathematics, general | Applications of Mathematics | Differential Geometry | coupled coincidence point | Coupled common fixed point | Partially ordered set | Coupled fixed point | Coupled coincidence point | Mixed g-monotone property | b-metric space | MATHEMATICS | MATHEMATICS, APPLIED | MULTIVALUED CONTRACTION-MAPPINGS | THEOREMS | COMPATIBLE MAPPINGS | mixed g-monotone property | Fixed point theory | Usage | Metric spaces | Integral equations | Contraction operators

mixed g -monotone property | b -metric space | Mathematical and Computational Biology | Mathematics | Topology | coupled common fixed point | partially ordered set | Analysis | coupled fixed point | Mathematics, general | Applications of Mathematics | Differential Geometry | coupled coincidence point | Coupled common fixed point | Partially ordered set | Coupled fixed point | Coupled coincidence point | Mixed g-monotone property | b-metric space | MATHEMATICS | MATHEMATICS, APPLIED | MULTIVALUED CONTRACTION-MAPPINGS | THEOREMS | COMPATIBLE MAPPINGS | mixed g-monotone property | Fixed point theory | Usage | Metric spaces | Integral equations | Contraction operators

Journal Article

Nonlinear Analysis, ISSN 0362-546X, 2011, Volume 74, Issue 5, pp. 1835 - 1840

Let be a complete CAT(0) space, be a generalized multivalued nonexpansive mapping, and be a single valued quasi-nonexpansive mapping. Under the assumption that...

CAT space | Multivalued mapping | Quasi-nonexpansive mapping | Common fixed point | Generalized nonexpansive mapping | MATHEMATICS | MATHEMATICS, APPLIED | INVARIANT APPROXIMATIONS | CONVERGENCE THEOREMS | GENERALIZED NONEXPANSIVE-MAPPINGS | Nonlinearity | Mapping

CAT space | Multivalued mapping | Quasi-nonexpansive mapping | Common fixed point | Generalized nonexpansive mapping | MATHEMATICS | MATHEMATICS, APPLIED | INVARIANT APPROXIMATIONS | CONVERGENCE THEOREMS | GENERALIZED NONEXPANSIVE-MAPPINGS | Nonlinearity | Mapping

Journal Article

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