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1968, ISBN 0521047226, Volume no. 57., [vii], 143

Metric space topology, as the generalization to abstract spaces of the theory of sets of points on a line or in a plane, unifies many branches of classical analysis and is necessary introduction to functional analysis...

Metric spaces

Metric spaces

Book

Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales. Serie A. Matematicas, ISSN 1578-7303, 3/2015, Volume 109, Issue 1, pp. 175 - 198

There have been many attempts to generalize the definition of a metric space in order to obtain possibilities for more general fixed point results...

Metric space | 54E99 | Theoretical, Mathematical and Computational Physics | Secondary 54D99 | Generalized metric space | Mathematics, general | Mathematics | Applications of Mathematics | Primary 47H10 | Fixed point | 54H25 | Science & Technology - Other Topics | Physical Sciences | Multidisciplinary Sciences | Science & Technology | Theorems | Fixed points (mathematics) | Equivalence

Metric space | 54E99 | Theoretical, Mathematical and Computational Physics | Secondary 54D99 | Generalized metric space | Mathematics, general | Mathematics | Applications of Mathematics | Primary 47H10 | Fixed point | 54H25 | Science & Technology - Other Topics | Physical Sciences | Multidisciplinary Sciences | Science & Technology | Theorems | Fixed points (mathematics) | Equivalence

Journal Article

11/2017, ISBN 1138099384, 418

Exploring the interrelation between information theory and signal processing theory, the book contains a new algebraic approach to signal processing theory....

Mathematics & Statistics for Engineers | ElectricalEngineeringnetBASE | STMnetBASE | Generalized Boolean Algebra | SCI-TECHnetBASE | MATHnetBASE | Digital Signal Processing | Lattice | Signal Processing | ENGnetBASE | Information Theory | Prior Uncertainty | Systems & Controls | Metric Space | Signal Processing Algorithms

Mathematics & Statistics for Engineers | ElectricalEngineeringnetBASE | STMnetBASE | Generalized Boolean Algebra | SCI-TECHnetBASE | MATHnetBASE | Digital Signal Processing | Lattice | Signal Processing | ENGnetBASE | Information Theory | Prior Uncertainty | Systems & Controls | Metric Space | Signal Processing Algorithms

eBook

Order, ISSN 0167-8094, 11/2012, Volume 29, Issue 3, pp. 545 - 558

A metric space (X, d) is called monotone if there is a linear order < on X and a constant c such that d(x, y) ⩽ c d(x, z) for all x < y < z in X...

Geometry | Linearly ordered space | Generalized ordered space | Convex and Discrete Geometry | Mathematics | Theory of Computation | 54E35 | Monotone metric space | σ -monotone metric space | 54F05 | σ-monotone metric space | Physical Sciences | Science & Technology

Geometry | Linearly ordered space | Generalized ordered space | Convex and Discrete Geometry | Mathematics | Theory of Computation | 54E35 | Monotone metric space | σ -monotone metric space | 54F05 | σ-monotone metric space | Physical Sciences | Science & Technology

Journal Article

2006, 1st ed., ISBN 0444520872, xv, 391

This book comes out of need and urgency (expressed especially in areas of Information Retrieval with respect to Image, Audio, Internet and Biology) to have a...

Measurement | Distances | Metric spaces

Measurement | Distances | Metric spaces

Book

Mathematische Zeitschrift, ISSN 0025-5874, 07/2018, Volume 291, Issue 1-2, pp. 17 - 46

... on the tangent spaces of the manifold compatible with the given generalized metric. This space admits natural generalized almost complex structures whose integrability conditions are found in the paper...

53C28 | Mathematics, general | Mathematics | Generalized complex structures | Twistor spaces | 53D18 | Physical Sciences | Science & Technology | Isomorphism | Riemann manifold | Integral calculus

53C28 | Mathematics, general | Mathematics | Generalized complex structures | Twistor spaces | 53D18 | Physical Sciences | Science & Technology | Isomorphism | Riemann manifold | Integral calculus

Journal Article

Journal of optimization theory and applications, ISSN 0022-3239, 12/2016, Volume 171, Issue 3, pp. 785 - 819

... Hölder/Lipschitz metric regularity, which are based on the concepts of slope and coderivative...

Fréchet subdifferential | 58C06 | Ekeland variational principle | Mathematics | Theory of Computation | Optimization | Slope | Hadamard directional differentiability | 90C30 | 49J53 | Calculus of Variations and Optimal Control; Optimization | 49J52 | Generalized equation | Asplund spaces | Applications of Mathematics | Engineering, general | Operation Research/Decision Theory | Metric regularity | Hölder metric regularity | 54C60 | 47H04 | Operations Research & Management Science | Physical Sciences | Mathematics, Applied | Technology | Science & Technology | Studies | Mathematical models | Sensitivity analysis | Slopes | Stability | Stability analysis | Sheds | Regularity

Fréchet subdifferential | 58C06 | Ekeland variational principle | Mathematics | Theory of Computation | Optimization | Slope | Hadamard directional differentiability | 90C30 | 49J53 | Calculus of Variations and Optimal Control; Optimization | 49J52 | Generalized equation | Asplund spaces | Applications of Mathematics | Engineering, general | Operation Research/Decision Theory | Metric regularity | Hölder metric regularity | 54C60 | 47H04 | Operations Research & Management Science | Physical Sciences | Mathematics, Applied | Technology | Science & Technology | Studies | Mathematical models | Sensitivity analysis | Slopes | Stability | Stability analysis | Sheds | Regularity

Journal Article

Algebra universalis, ISSN 0002-5240, 2/2013, Volume 69, Issue 1, pp. 27 - 43

In this paper, we give a new generalization of metric spaces called k-metric spaces...

Algebra | generalized metrics | intrinsic metrics | almost f -rings | induced topology | Mathematics | 54H99 | 54E35 | lattice ordered groups | metrizability | Primary: 06F15 | Secondary: 32F45 | almost f-rings | Physical Sciences | Science & Technology

Algebra | generalized metrics | intrinsic metrics | almost f -rings | induced topology | Mathematics | 54H99 | 54E35 | lattice ordered groups | metrizability | Primary: 06F15 | Secondary: 32F45 | almost f-rings | Physical Sciences | Science & Technology

Journal Article

Afrika Matematika, ISSN 1012-9405, 3/2017, Volume 28, Issue 1, pp. 35 - 43

In this paper, we derive some implications and nonimplications among various kinds of convergence axioms derived in generalized metric space...

54A20 | Generalized metric space | Fixed point theorems | Mathematics, general | Mathematics Education | Mathematics | History of Mathematical Sciences | Applications of Mathematics | Convergence axioms | 54H25 | Metric space | Axioms | Convergence

54A20 | Generalized metric space | Fixed point theorems | Mathematics, general | Mathematics Education | Mathematics | History of Mathematical Sciences | Applications of Mathematics | Convergence axioms | 54H25 | Metric space | Axioms | Convergence

Journal Article

Set-valued and variational analysis, ISSN 1877-0533, 6/2015, Volume 23, Issue 2, pp. 355 - 373

Covering mappings in generalized metric spaces are considered. The coincidence points theorems for single-valued and set-valued mappings are proved...

Geometry | Analysis | Covering mappings | Coincidence points | Mathematics | Generalized metric | 54H25 | 47H04 | Physical Sciences | Mathematics, Applied | Science & Technology

Geometry | Analysis | Covering mappings | Coincidence points | Mathematics | Generalized metric | 54H25 | 47H04 | Physical Sciences | Mathematics, Applied | Science & Technology

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 | Physical Sciences | Mathematics, Applied | Science & Technology | 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 | Physical Sciences | Mathematics, Applied | Science & Technology | Paper | Theorems | Fixed points (mathematics) | Mapping | Metric space | Inequalities

Journal Article

Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A, Matemáticas, ISSN 1578-7303, 10/2018, Volume 112, Issue 4, pp. 1295 - 1303

...) on the metrization of $$\nu $$
ν
-generalized metric spaces. We also prove a sufficient condition for a $$\nu $$
ν
-generalized metric space...

nu $$ ν -Generalized metric | Theoretical, Mathematical and Computational Physics | Metrization | Mathematics, general | Mathematics | Applications of Mathematics | Primary 54E35 | Secondary 54H25

nu $$ ν -Generalized metric | Theoretical, Mathematical and Computational Physics | Metrization | Mathematics, general | Mathematics | Applications of Mathematics | Primary 54E35 | Secondary 54H25

Journal Article

2008, Annals of mathematics studies, ISBN 9780691137322, Volume no. 167, viii, 367

This book presents the analytic foundations to the theory of the hypoelliptic Laplacian. The hypoelliptic Laplacian, a second-order operator acting on the...

Differential equations, Hypoelliptic | Metric spaces | Laplacian operator | Mathematics

Differential equations, Hypoelliptic | Metric spaces | Laplacian operator | Mathematics

Book

Topology and its applications, ISSN 0166-8641, 2010, Volume 157, Issue 18, pp. 2778 - 2785

In the present paper, we give some fixed point theorems for generalized contractive type mappings on partial metric space...

Generalized contraction | Partial metric space | Fixed point | Physical Sciences | Mathematics | Mathematics, Applied | Science & Technology

Generalized contraction | Partial metric space | Fixed point | Physical Sciences | Mathematics | Mathematics, Applied | Science & Technology

Journal Article

Optimization letters, ISSN 1862-4472, 6/2013, Volume 7, Issue 5, pp. 913 - 921

...Optim Lett (2013) 7:913–921
DOI 10.1007/s11590-012-0470-z
ORIGINAL PAPER
Best proximity points for proximal generalized
contractions in metric spaces
A. Amini...

47H10 | Computational Intelligence | Proximal generalized contraction | Operations Research/Decision Theory | Optimal approximate solution | Numerical and Computational Physics | Mathematics | Best proximity point | Optimization | Operations Research & Management Science | Physical Sciences | Mathematics, Applied | Technology | Science & Technology | Algorithms

47H10 | Computational Intelligence | Proximal generalized contraction | Operations Research/Decision Theory | Optimal approximate solution | Numerical and Computational Physics | Mathematics | Best proximity point | Optimization | Operations Research & Management Science | Physical Sciences | Mathematics, Applied | Technology | Science & Technology | Algorithms

Journal Article

Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A, Matemáticas, ISSN 1578-7303, 1/2018, Volume 112, Issue 1, pp. 301 - 309

In 2000, A. Branciari introduced the concept of
$$\nu $$
ν
-generalized metric space...

54E50 | Secondary 54E35 | Metrizability | Theoretical, Mathematical and Computational Physics | Completeness | nu $$ ν -generalized metric space | Mathematics, general | Mathematics | Applications of Mathematics | Topology | Primary 54E99

54E50 | Secondary 54E35 | Metrizability | Theoretical, Mathematical and Computational Physics | Completeness | nu $$ ν -generalized metric space | Mathematics, general | Mathematics | Applications of Mathematics | Topology | Primary 54E99

Journal Article

Nonlinear analysis, ISSN 0362-546X, 06/2010, Volume 72, Issue 12, pp. 4508 - 4517

...
(
x
,
y
)
=
x
and
F
(
y
,
x
)
=
y
. In this paper, we consider the case when
X
is a complete metric space endowed with a partial order...

Partially ordered set | Coupled fixed point | Generalized Meir–Keeler contraction | Contraction of integral type | Generalized Meir-Keeler contraction | Physical Sciences | Mathematics | Mathematics, Applied | Science & Technology | Nonlinearity | Theorems | Complement | Mapping | Metric space

Partially ordered set | Coupled fixed point | Generalized Meir–Keeler contraction | Contraction of integral type | Generalized Meir-Keeler contraction | Physical Sciences | Mathematics | Mathematics, Applied | Science & Technology | Nonlinearity | Theorems | Complement | Mapping | Metric space

Journal Article