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Journal of mathematical analysis and applications, ISSN 0022-247X, 05/2008, Volume 341, Issue 2, pp. 1241 - 1252

The purpose of this paper is to present some fixed point results for self-generalized contractions in ordered metric spaces...

Generalized contraction | Ordered metric space | Monotone operator | Integral equation | Fixed point | Physical Sciences | Mathematics | Mathematics, Applied | Science & Technology

Generalized contraction | Ordered metric space | Monotone operator | Integral equation | Fixed point | Physical Sciences | Mathematics | Mathematics, Applied | Science & Technology

Journal Article

Topology and its applications, ISSN 0166-8641, 04/2016, Volume 203, pp. 32 - 41

In this paper we introduce the notion of modified w-distance (mw-distance) on a quasi-metric space which generalizes the concept of quasi-metric...

Generalized contraction | mw-distance | Complete quasi-metric space | w-distance | Fixed point | W-distance | Mw-distance

Generalized contraction | mw-distance | Complete quasi-metric space | w-distance | Fixed point | W-distance | Mw-distance

Journal Article

1968, Cambridge tracts in mathematics and mathematical physics, ISBN 0521357322, Volume no. 57, 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...

Distance geometry

Distance geometry

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

Studia scientiarum mathematicarum Hungarica, ISSN 0081-6906, 09/2011, Volume 48, Issue 3, pp. 304 - 319

In this paper several fixed point theorems for a class of mappings defined on a complete G-metric space are proved...

Secondary 46B20 | 2-metric space | Metric space | generalized metric space | Primary 47H10 | D-metric space | Physical Sciences | Mathematics | Science & Technology

Secondary 46B20 | 2-metric space | Metric space | generalized metric space | Primary 47H10 | D-metric space | Physical Sciences | Mathematics | Science & Technology

Journal Article

Computers & mathematics with applications (1987), ISSN 0898-1221, 2011, Volume 62, Issue 9, pp. 3305 - 3316

...
)
-weak nonlinear contraction type condition in ordered
K
-metric spaces. The presented results generalize and extend the very recent results of Choudhury and Metiya [B.S. Choudhury and N...

[formula omitted]-metric space | Coincidence point | Partial order | Fixed point | Generalized weak contraction | K-metric space | Physical Sciences | Mathematics | Mathematics, Applied | Science & Technology | Nonlinearity | Theorems | Fixed points (mathematics) | Mathematical models | Mapping | Metric space

[formula omitted]-metric space | Coincidence point | Partial order | Fixed point | Generalized weak contraction | K-metric space | Physical Sciences | Mathematics | Mathematics, Applied | Science & Technology | Nonlinearity | Theorems | Fixed points (mathematics) | Mathematical models | Mapping | Metric space

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

Axioms, ISSN 2075-1680, 09/2018, Volume 7, Issue 3, p. 67

.... In this study, we introduced the notion of neutrosophic triplet v‐generalized metric space (NTVGM), and we obtained properties of NTVGM...

Fuzzy sets | Researchers | Metric space | Quotas | Set theory | Traveling salesman problem | Mathematics | neutrosophic triplet set (NTS) | neutrosophic triplet metric spaces (NTMS) | neutrosophic triplet v-generalized metric spaces (NTVGMS)

Fuzzy sets | Researchers | Metric space | Quotas | Set theory | Traveling salesman problem | Mathematics | neutrosophic triplet set (NTS) | neutrosophic triplet metric spaces (NTMS) | neutrosophic triplet v-generalized metric spaces (NTVGMS)

Journal Article

2006, 1st ed., ISBN 9780444520876, 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

Fixed point theory and applications (Hindawi Publishing Corporation), ISSN 1687-1812, 11/2013, Volume 2013, Issue 1, pp. 1 - 10

In this paper we introduce the concept of cone metric spaces with Banach algebras, replacing Banach spaces by Banach algebras as the underlying spaces of cone metric spaces...

cone metric spaces with Banach algebras | Mathematical and Computational Biology | fixed point theorems | generalized Lipschitz conditions | Analysis | Mathematics, general | Mathematics | Applications of Mathematics | Topology | Differential Geometry | Fixed point theorems | Generalized Lipschitz conditions | Cone metric spaces with Banach algebras | Physical Sciences | Mathematics, Applied | Science & Technology | Fixed point theory | Usage | Banach spaces | Contraction operators

cone metric spaces with Banach algebras | Mathematical and Computational Biology | fixed point theorems | generalized Lipschitz conditions | Analysis | Mathematics, general | Mathematics | Applications of Mathematics | Topology | Differential Geometry | Fixed point theorems | Generalized Lipschitz conditions | Cone metric spaces with Banach algebras | Physical Sciences | Mathematics, Applied | Science & Technology | Fixed point theory | Usage | Banach spaces | Contraction operators

Journal Article

Topology and its applications, ISSN 0166-8641, 06/2016, Volume 206, pp. 93 - 114

We consider several generalized metric properties and study the relation between a space X satisfying such property and its n-fold symmetric product satisfying...

Fréchet space | Hyperspace | g-Function | Stratifiable space | Symmetric product | ccc-Space | Generalized metric space | Monotonically normal space | [formula omitted]-diagonal | G-Function | Ccc-Space | diagonal | Physical Sciences | Mathematics | Mathematics, Applied | Science & Technology

Fréchet space | Hyperspace | g-Function | Stratifiable space | Symmetric product | ccc-Space | Generalized metric space | Monotonically normal space | [formula omitted]-diagonal | G-Function | Ccc-Space | diagonal | Physical Sciences | Mathematics | Mathematics, Applied | Science & Technology

Journal Article

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

14.
Full Text
A Fixed Point Theorem for Mappings on the ℓ∞-Sum of a Metric Space and its Application

Filomat, ISSN 0354-5180, 1/2017, Volume 31, Issue 11, pp. 3559 - 3572

...
(
) →
, where
is a metric space and ℓ
(
) is the space of all bounded sequences of elements from
. Our result generalizes the theorem obtained by Miculescu and Mihail in 2008, who proved a counterpart of the Banach principle for mappings...

Metric spaces | Topology | Cartesianism | Diagonal lemma | ℓ∞-sum of a metric space | Generalized fixed points | Tychonoff product topology | Contractive fixed points | Physical Sciences | Mathematics | Mathematics, Applied | Science & Technology

Metric spaces | Topology | Cartesianism | Diagonal lemma | ℓ∞-sum of a metric space | Generalized fixed points | Tychonoff product topology | Contractive fixed points | Physical Sciences | Mathematics | Mathematics, Applied | Science & Technology

Journal Article

Journal of inequalities and applications, ISSN 1025-5834, 12/2014, Volume 2014, Issue 1, pp. 1 - 24

...-contraction mappings in partially ordered metric spaces without G-increasing property of F and mixed monotone property of G, using the concept of a
-closed set...

tripled point of coincidence | closed set | partially ordered set | tripled fixed point | Analysis | generalized compatible | invariant set | Mathematics, general | tripled coincidence point | Mathematics | Applications of Mathematics | mixed g -monotone | mixed g-monotone | Physical Sciences | Mathematics, Applied | Science & Technology

tripled point of coincidence | closed set | partially ordered set | tripled fixed point | Analysis | generalized compatible | invariant set | Mathematics, general | tripled coincidence point | Mathematics | Applications of Mathematics | mixed g -monotone | mixed g-monotone | Physical Sciences | Mathematics, Applied | Science & Technology

Journal Article

Hacettepe Journal of Mathematics and Statistics, ISSN 1303-5010, 06/2011, Volume 40, Issue 3, pp. 441 - 447

T. G. Bhaskar and V Lakshmikantham (Fixed point theorems in partially ordered metric spaces and applications, Nonlinear Analysis 65, 1379-1393, 2006), V...

Coupled coincidence fixed point | Generalized metric space | Common fixed Point | Statistics & Probability | Physical Sciences | Mathematics | Science & Technology

Coupled coincidence fixed point | Generalized metric space | Common fixed Point | Statistics & Probability | Physical Sciences | Mathematics | Science & Technology

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