2013, De Gruyter studies in mathematics, ISBN 9783110263404, Volume 49, xi, 372

Book

2015, 1st ed. 2015, ISBN 9783319240800, xvii, 385 pages

Written by a team of leading experts in the field, this volume presents a self-contained account of the theory, techniques and results in metric type spaces...

Fixed point theory | Mathematics | Functional analysis | Functional Analysis | Numerical Analysis | Real Functions | Metric spaces

Fixed point theory | Mathematics | Functional analysis | Functional Analysis | Numerical Analysis | Real Functions | Metric spaces

Book

2015, New mathematical monographs, ISBN 9781107092341, Volume 27, xii, 434

Analysis on metric spaces emerged in the 1990s as an independent research field providing a unified treatment of first-order analysis in diverse and potentially nonsmooth settings...

Sobolev spaces | Metric spaces

Sobolev spaces | Metric spaces

Book

4.
Geometry and dynamics in Gromov hyperbolic metric spaces

: with an emphasis on non-proper settings

2017, Mathematical surveys and monographs, ISBN 9781470434656, Volume 218, xxxv, 281 pages

Geometry, Hyperbolic | Ergodic theory | Measure and integration | Fuchsian groups and their generalizations | Infinite-dimensional Lie groups and their Lie algebras: general properties | Hyperbolic groups and nonpositively curved groups | Special aspects of infinite or finite groups | Semigroups of transformations, etc | Metric spaces | Conformal densities and Hausdorff dimension | Structure and classification of infinite or finite groups | Relations with number theory and harmonic analysis | Classical measure theory | Group theory and generalizations | Other groups of matrices | Complex dynamical systems | Lie groups | Hyperbolic spaces | Semigroups | Groups acting on trees | Topological groups, Lie groups | Dynamical systems and ergodic theory | Hausdorff and packing measures

Book

1995, DMV seminar, ISBN 3764352426, Volume Bd. 25., v, 112

Book

01/2018, 1st ed. 2018, ISBN 9783319934990, 411

... spaces, fuzzy normed spaces, partially ordered fuzzy metric spaces, fuzzy normed algebras, and non...

Fuzzy logic | Fundamental theorems | Fuzzy proximal cyclic contractions | Triangular norms | Finite dimensional fuzzy Banach spaces | Open mapping theorem | Banach spaces | Fuzzy operator theory | Nonlinear approximation theory | Closed graph theorem | Normed spaces | Best proximity theory | Fixed point theorems in partially ordered fuzzy metric spaces | Fuzzy metric | Fuzzy normed spaces | Fuzzy topological structures | Set-valued mappings in fuzzy metric spaces | Fixed point theory | Approximation theory | Ordered non-Archimedean fuzzy metric spaces | Non-Archimedean fuzzy normed spaces

Fuzzy logic | Fundamental theorems | Fuzzy proximal cyclic contractions | Triangular norms | Finite dimensional fuzzy Banach spaces | Open mapping theorem | Banach spaces | Fuzzy operator theory | Nonlinear approximation theory | Closed graph theorem | Normed spaces | Best proximity theory | Fixed point theorems in partially ordered fuzzy metric spaces | Fuzzy metric | Fuzzy normed spaces | Fuzzy topological structures | Set-valued mappings in fuzzy metric spaces | Fixed point theory | Approximation theory | Ordered non-Archimedean fuzzy metric spaces | Non-Archimedean fuzzy normed spaces

eBook

中国科学：数学英文版, ISSN 1674-7283, 2015, Volume 58, Issue 2, pp. 309 - 388

Let（X,d,）be a metric measure space satisfying both the geometrically doubling and the upper doubling conditions.Let ρ∈（1,∞）,0〈p≤1≤q≤∞,p≠q,γ∈[1,∞）and ∈ ∈（0...

Weiss | Hardy空间 | 测度空间 | 幽门螺杆菌 | 分数次积分 | Campanato空间 | 应用 | ATB | molecular block | Campanato space | Lipschitz space | Mathematics | 30L99 | non-homogeneous metric measure space | ρ -weakly doubling measure | 42B35 | 42B30 | 42B20 | Calderón-Zygmund operator | Applications of Mathematics | atomic block | Hardy space | Non-homogeneous metric measure space | ρ-weakly doubling measure | Atomic block | Molecular block

Weiss | Hardy空间 | 测度空间 | 幽门螺杆菌 | 分数次积分 | Campanato空间 | 应用 | ATB | molecular block | Campanato space | Lipschitz space | Mathematics | 30L99 | non-homogeneous metric measure space | ρ -weakly doubling measure | 42B35 | 42B30 | 42B20 | Calderón-Zygmund operator | Applications of Mathematics | atomic block | Hardy space | Non-homogeneous metric measure space | ρ-weakly doubling measure | Atomic block | Molecular block

Journal Article

1974, Lecture notes in pure and applied mathematics, ISBN 9780824762469, Volume 9, viii, 146

Book

Fixed point theory and applications (Hindawi Publishing Corporation), ISSN 1687-1812, 2012, Volume 2012, Issue 1, pp. 1 - 10

By a metric-like space, as a generalization of a partial metric space, we mean a pair , where X is a nonempty set and satisfies all of the conditions of a metric except that may be...

metric-like space | Mathematical and Computational Biology | fixed point | Analysis | Mathematics, general | partial metric space | Mathematics | Applications of Mathematics | Topology | Differential Geometry | Partial metric space | Metric-like space | Fixed point | MATHEMATICS | MATHEMATICS, APPLIED | CONTRACTION | THEOREMS | Fixed point theory | Usage | Metric spaces | Contraction operators | Metric space

metric-like space | Mathematical and Computational Biology | fixed point | Analysis | Mathematics, general | partial metric space | Mathematics | Applications of Mathematics | Topology | Differential Geometry | Partial metric space | Metric-like space | Fixed point | MATHEMATICS | MATHEMATICS, APPLIED | CONTRACTION | THEOREMS | Fixed point theory | Usage | Metric spaces | Contraction operators | Metric space

Journal Article

Advances in Mathematics, ISSN 0001-8708, 08/2018, Volume 334, pp. 544 - 584

Decomposition spaces are simplicial ∞-groupoids subject to a certain exactness condition, needed to induce a coalgebra structure on the space of arrows...

CULF functor | Möbius interval | 2-Segal space | Möbius inversion | decomposition space | Mobius inversion | MATHEMATICS | Mobius interval | GULF functor | CATEGORIES | Algebra | Topologia | Combinatorial topology | 55 Algebraic topology | 18G Homological algebra | Classificació AMS | Topologia algebraica | Topologia combinatòria | 06A Ordered sets | 18 Category theory; homological algebra | Matemàtiques i estadística | 06 Order, lattices, ordered algebraic structures | Algebraic topology | 55P Homotopy theory | Àrees temàtiques de la UPC

CULF functor | Möbius interval | 2-Segal space | Möbius inversion | decomposition space | Mobius inversion | MATHEMATICS | Mobius interval | GULF functor | CATEGORIES | Algebra | Topologia | Combinatorial topology | 55 Algebraic topology | 18G Homological algebra | Classificació AMS | Topologia algebraica | Topologia combinatòria | 06A Ordered sets | 18 Category theory; homological algebra | Matemàtiques i estadística | 06 Order, lattices, ordered algebraic structures | Algebraic topology | 55P Homotopy theory | Àrees temàtiques de la UPC

Journal Article

Computers and Mathematics with Applications, ISSN 0898-1221, 2011, Volume 62, Issue 8, pp. 3204 - 3214

... ) -weakly contractive condition in partially ordered metric spaces, Nonlinear Anal. 74 (2011) 2201–2209] studied some coincidence fixed point and common fixed point theorems for two mappings satisfying...

Weakly contractive condition | Partially ordered set | Coincidence point | Weakly increasing | Altering distance function | Common fixed point | MATHEMATICS, APPLIED | FIXED-POINT THEOREMS | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | MAPS | SETS | MAPPINGS | NONLINEAR CONTRACTIONS | ORDINARY DIFFERENTIAL-EQUATIONS | Nonlinearity | Theorems | Mathematical models | Mapping | Metric space

Weakly contractive condition | Partially ordered set | Coincidence point | Weakly increasing | Altering distance function | Common fixed point | MATHEMATICS, APPLIED | FIXED-POINT THEOREMS | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | MAPS | SETS | MAPPINGS | NONLINEAR CONTRACTIONS | ORDINARY DIFFERENTIAL-EQUATIONS | Nonlinearity | Theorems | Mathematical models | Mapping | Metric space

Journal Article

Journal of inequalities and applications, ISSN 1029-242X, 2014, Volume 2014, Issue 1, pp. 229 - 16

In this paper, we introduce some generalized -contractive mappings in the setting of generalized metric spaces and, based on the very recent paper...

fixed point | Analysis | Mathematics, general | generalized metric spaces | Mathematics | Applications of Mathematics | contractions | (Formula presented.)-contractions | BANACH-CACCIOPPOLI TYPE | MATHEMATICS | MATHEMATICS, APPLIED | CONTRACTIVE MAPPINGS | THEOREM | (alpha, psi)-contractions | Paper | Theorems | Fixed points (mathematics) | Mapping | Metric space | Inequalities

fixed point | Analysis | Mathematics, general | generalized metric spaces | Mathematics | Applications of Mathematics | contractions | (Formula presented.)-contractions | BANACH-CACCIOPPOLI TYPE | MATHEMATICS | MATHEMATICS, APPLIED | CONTRACTIVE MAPPINGS | THEOREM | (alpha, psi)-contractions | Paper | Theorems | Fixed points (mathematics) | Mapping | Metric space | Inequalities

Journal Article

Inventiones mathematicae, ISSN 1432-1297, 2013, Volume 195, Issue 2, pp. 289 - 391

This paper is devoted to a deeper understanding of the heat flow and to the refinement of calculus tools on metric measure spaces $(X,\mathsf {d},\mathfrak {m...

52C23 | 49J52 | 35K90 | Mathematics, general | Mathematics | 58J35 | 49Q20 | 31C25 | EXISTENCE | MATHEMATICS | EQUATIONS | CURVATURE CONDITIONS | GEOMETRY | Mathematical analysis | Dirichlet problem | Calculus | Heat transmission | Entropy | Density | Curvature | Heat transfer

52C23 | 49J52 | 35K90 | Mathematics, general | Mathematics | 58J35 | 49Q20 | 31C25 | EXISTENCE | MATHEMATICS | EQUATIONS | CURVATURE CONDITIONS | GEOMETRY | Mathematical analysis | Dirichlet problem | Calculus | Heat transmission | Entropy | Density | Curvature | Heat transfer

Journal Article

Computers & mathematics with applications (1987), ISSN 0898-1221, 2011, Volume 62, Issue 12, pp. 4449 - 4460

In this paper, we prove some coupled fixed point theorems involving a ( ψ , φ ) -weakly contractive condition for mapping having the mixed monotone property in ordered partial metric spaces...

Coupled fixed point | Mixed monotone property | Partial metrics | Partially ordered | MATHEMATICS, APPLIED | THEOREMS | SETS | NONLINEAR CONTRACTIONS | Theorems | Fixed points (mathematics) | Mathematical models | Mapping | Metric space

Coupled fixed point | Mixed monotone property | Partial metrics | Partially ordered | MATHEMATICS, APPLIED | THEOREMS | SETS | NONLINEAR CONTRACTIONS | Theorems | Fixed points (mathematics) | Mathematical models | Mapping | Metric space

Journal Article

Fixed Point Theory and Applications, ISSN 1687-1820, 12/2013, Volume 2013, Issue 1, pp. 1 - 11

.... He also extended the Banach contraction principle to the setting of partial metric spaces...

metric space | Mathematical and Computational Biology | fixed point | Analysis | Mathematics, general | partial metric space | Mathematics | Applications of Mathematics | Topology | Differential Geometry | MATHEMATICS | COMMON FIXED-POINTS | GENERALIZED CONTRACTIONS | Fixed point theory | Usage | Metric spaces | Contraction operators | Metric space | Theorems

metric space | Mathematical and Computational Biology | fixed point | Analysis | Mathematics, general | partial metric space | Mathematics | Applications of Mathematics | Topology | Differential Geometry | MATHEMATICS | COMMON FIXED-POINTS | GENERALIZED CONTRACTIONS | Fixed point theory | Usage | Metric spaces | Contraction operators | Metric space | Theorems

Journal Article

Czechoslovak Mathematical Journal, ISSN 0011-4642, 3/2019, Volume 69, Issue 1, pp. 207 - 223

... from Orlicz spaces L Φ(X) near L 1(X) to Orlicz spaces L Ψ(X) over metric measure spaces equipped with lower Ahlfors Q-regular measures, where Φ...

metric measure space | Mathematics | fractional integral | 31B15 | Ordinary Differential Equations | 46E35 | Analysis | Convex and Discrete Geometry | 46E30 | Mathematics, general | Orlicz space | Mathematical Modeling and Industrial Mathematics | lower Ahlfors regular | Riesz potential | MATHEMATICS | SOBOLEV EMBEDDINGS | INEQUALITIES | CALDERON-ZYGMUND OPERATORS | MORREY SPACES | RIESZ-POTENTIALS

metric measure space | Mathematics | fractional integral | 31B15 | Ordinary Differential Equations | 46E35 | Analysis | Convex and Discrete Geometry | 46E30 | Mathematics, general | Orlicz space | Mathematical Modeling and Industrial Mathematics | lower Ahlfors regular | Riesz potential | MATHEMATICS | SOBOLEV EMBEDDINGS | INEQUALITIES | CALDERON-ZYGMUND OPERATORS | MORREY SPACES | RIESZ-POTENTIALS

Journal Article

Nonlinear Analysis, ISSN 0362-546X, 04/2011, Volume 74, Issue 7, pp. 2591 - 2601

Using an old M. Krein’s result and a result concerning symmetric spaces from [S. Radenović, Z. Kadelburg, Quasi-contractions on symmetric and cone symmetric spaces, Banach J...

Normal cone | Common fixed point | Non-normal cone | Solid cone | Cone metric space | Fixed point | MATHEMATICS, APPLIED | UNIFORM | VALUED DYNAMIC-SYSTEMS | EQUIVALENCE | MATHEMATICS | FIXED-POINT THEOREMS | MAPS | QUASI-CONTRACTION | END-POINTS | MAPPINGS | NONLINEAR CONTRACTIONS | Reproduction | Theorems | Metric space | Redundant | Nonlinearity | Mapping | Banach space

Normal cone | Common fixed point | Non-normal cone | Solid cone | Cone metric space | Fixed point | MATHEMATICS, APPLIED | UNIFORM | VALUED DYNAMIC-SYSTEMS | EQUIVALENCE | MATHEMATICS | FIXED-POINT THEOREMS | MAPS | QUASI-CONTRACTION | END-POINTS | MAPPINGS | NONLINEAR CONTRACTIONS | Reproduction | Theorems | Metric space | Redundant | Nonlinearity | Mapping | Banach space

Journal Article

Duke mathematical journal, ISSN 0012-7094, 2014, Volume 163, Issue 7, pp. 1405 - 1490

In this paper, we introduce a synthetic notion of Riemannian Ricci bounds from below for metric measure spaces (X, d, m...

MATHEMATICS | SOBOLEV SPACES | TRANSPORT | INEQUALITIES | STABILITY | COMPACT ALEXANDROV SPACES | FINSLER MANIFOLDS | WASSERSTEIN SPACES | HEAT-FLOW | GRADIENT FLOWS | GEOMETRY | 60J65 | 35K05

MATHEMATICS | SOBOLEV SPACES | TRANSPORT | INEQUALITIES | STABILITY | COMPACT ALEXANDROV SPACES | FINSLER MANIFOLDS | WASSERSTEIN SPACES | HEAT-FLOW | GRADIENT FLOWS | GEOMETRY | 60J65 | 35K05

Journal Article