ANNALS OF FUNCTIONAL ANALYSIS, ISSN 2008-8752, 05/2019, Volume 10, Issue 2, pp. 284 - 290

In this article we introduce a method of constructing functions with claimed properties by using the Tychonoff theorem. As an application of this method we...

MATHEMATICS | MATHEMATICS, APPLIED | Caratheodory pseudodistance | Kobayashi pseudodistance | Tychonoff theorem

MATHEMATICS | MATHEMATICS, APPLIED | Caratheodory pseudodistance | Kobayashi pseudodistance | Tychonoff theorem

Journal Article

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On behaviour of holomorphically contractible systems under non-monotonic sequences of sets

Archiv der Mathematik, ISSN 0003-889X, 1/2016, Volume 106, Issue 1, pp. 73 - 79

The new results concerning the continuity of holomorphically contractible systems treated as set functions with respect to non-monotonic sequences of sets are...

Carathéodory pseudodistance | Pluricomplex Green function | Mathematics, general | Mathematics | Invariant pseudodistances | Hausdorff distance | Primary 32F45 | Secondary 32H02 | Kobayashi pseudodistance | MATHEMATICS | Caratheodory pseudodistance | Computer science

Carathéodory pseudodistance | Pluricomplex Green function | Mathematics, general | Mathematics | Invariant pseudodistances | Hausdorff distance | Primary 32F45 | Secondary 32H02 | Kobayashi pseudodistance | MATHEMATICS | Caratheodory pseudodistance | Computer science

Journal Article

Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 08/2013, Volume 404, Issue 2, pp. 338 - 350

In the uniform spaces (sequentially complete and not sequentially complete), we introduce the concept of the -families of generalized pseudodistances, we apply...

Generalized contraction | [formula omitted]-family of generalized pseudodistances | Uniform space | Iterative approximation | Fixed point | J-family of generalized pseudodistances | EXISTENCE | MATHEMATICS | MATHEMATICS, APPLIED | THEOREMS | LEADER TYPE | COMPLETE METRIC-SPACES

Generalized contraction | [formula omitted]-family of generalized pseudodistances | Uniform space | Iterative approximation | Fixed point | J-family of generalized pseudodistances | EXISTENCE | MATHEMATICS | MATHEMATICS, APPLIED | THEOREMS | LEADER TYPE | COMPLETE METRIC-SPACES

Journal Article

Applied Mathematics Letters, ISSN 0893-9659, 2011, Volume 24, Issue 3, pp. 325 - 328

In uniform spaces, not necessarily sequentially complete, using the concept of the -family of generalized pseudodistances, the fixed point theorem of...

Fixed point theorem of Subrahmanyam type | [formula omitted]-family of generalized pseudodistances | Uniform space | Iterative approximation | J-family of generalized pseudodistances | EXISTENCE | MATHEMATICS, APPLIED | QUASI-ASYMPTOTIC CONTRACTIONS | VALUED DYNAMIC-SYSTEMS | COMPLETE METRIC-SPACES | I-family of generalized pseudodistances | CONE UNIFORM | Theorems | Fixed points (mathematics) | Maps | Metric space | Mathematical analysis

Fixed point theorem of Subrahmanyam type | [formula omitted]-family of generalized pseudodistances | Uniform space | Iterative approximation | J-family of generalized pseudodistances | EXISTENCE | MATHEMATICS, APPLIED | QUASI-ASYMPTOTIC CONTRACTIONS | VALUED DYNAMIC-SYSTEMS | COMPLETE METRIC-SPACES | I-family of generalized pseudodistances | CONE UNIFORM | Theorems | Fixed points (mathematics) | Maps | Metric space | Mathematical analysis

Journal Article

Afrika Matematika, ISSN 1012-9405, 11/2018, Volume 29, Issue 7, pp. 1039 - 1048

In this paper, we consider the concept of b-generalized pseudodistances with the concept of weak contraction for non-self mapping by provide the condition...

b-metric spaces | 47H10 | Best proximity points | Mathematics, general | Mathematics Education | b -generalized pseudodistances | Mathematics | History of Mathematical Sciences | Weak contraction | Applications of Mathematics | 54C60 | b-generalized pseudodistances

b-metric spaces | 47H10 | Best proximity points | Mathematics, general | Mathematics Education | b -generalized pseudodistances | Mathematics | History of Mathematical Sciences | Weak contraction | Applications of Mathematics | 54C60 | b-generalized pseudodistances

Journal Article

1993, De Gruyter expositions in mathematics, ISBN 3110132516, Volume 9., xi, 408

Book

Fixed Point Theory and Applications, ISSN 1687-1820, 12/2014, Volume 2014, Issue 1, pp. 1 - 13

In this paper, in b-metric space, we introduce the concept of b-generalized pseudodistance which is an extension of the b-metric. Next, inspired by the ideas...

best proximity points | Mathematical and Computational Biology | Nadler contraction | b -generalized pseudodistances | global optimal minimum | Mathematics | Topology | Analysis | b -metric spaces | Mathematics, general | set-valued maps | Applications of Mathematics | Differential Geometry | Global optimal minimum | Set-valued maps | Best proximity points | B-metric spaces | B-generalized pseudodistances | b-metric spaces | EXISTENCE | MATHEMATICS, APPLIED | EKELANDS VARIATIONAL PRINCIPLE | MATHEMATICS | b-generalized pseudodistances | THEOREMS | MAPPINGS | CONVERGENCE | Fixed point theory | Usage | Metric spaces | Distributions, Theory of (Functional analysis) | Contraction operators

best proximity points | Mathematical and Computational Biology | Nadler contraction | b -generalized pseudodistances | global optimal minimum | Mathematics | Topology | Analysis | b -metric spaces | Mathematics, general | set-valued maps | Applications of Mathematics | Differential Geometry | Global optimal minimum | Set-valued maps | Best proximity points | B-metric spaces | B-generalized pseudodistances | b-metric spaces | EXISTENCE | MATHEMATICS, APPLIED | EKELANDS VARIATIONAL PRINCIPLE | MATHEMATICS | b-generalized pseudodistances | THEOREMS | MAPPINGS | CONVERGENCE | Fixed point theory | Usage | Metric spaces | Distributions, Theory of (Functional analysis) | Contraction operators

Journal Article

Fixed Point Theory and Applications, ISSN 1687-1820, 12/2015, Volume 2015, Issue 1, pp. 1 - 20

A new class of multivalued non-self-mappings, called SK-contractions with respect to b-generalized pseudodistances, is introduced and used to investigate the...

Mathematical and Computational Biology | 46B20 | b -generalized pseudodistances | Mathematics | Topology | best proximity point | 47H10 | fixed point | SK-contraction | Analysis | 47H09 | Mathematics, general | Applications of Mathematics | Differential Geometry | b-generalized pseudodistances | EXISTENCE | MATHEMATICS | METRIC-SPACES | CONVERGENCE | PROXIMITY POINT THEOREMS | Cartography | Fixed point theory | Usage | Metric spaces | Ontology | Proximity

Mathematical and Computational Biology | 46B20 | b -generalized pseudodistances | Mathematics | Topology | best proximity point | 47H10 | fixed point | SK-contraction | Analysis | 47H09 | Mathematics, general | Applications of Mathematics | Differential Geometry | b-generalized pseudodistances | EXISTENCE | MATHEMATICS | METRIC-SPACES | CONVERGENCE | PROXIMITY POINT THEOREMS | Cartography | Fixed point theory | Usage | Metric spaces | Ontology | Proximity

Journal Article

TOPOLOGY AND ITS APPLICATIONS, ISSN 0166-8641, 09/2017, Volume 229, pp. 187 - 195

If phi and psi are two continuous real-valued functions defined on a compact topological space X and G is a subgroup of the group of all homeomorphisms of X...

MATHEMATICS | Optimal homeomorphism | PERSISTENT HOMOLOGY | MATHEMATICS, APPLIED | Group action | PSEUDODISTANCES | Persistent topology | CURVES | Natural pseudo-distance | SURFACES

MATHEMATICS | Optimal homeomorphism | PERSISTENT HOMOLOGY | MATHEMATICS, APPLIED | Group action | PSEUDODISTANCES | Persistent topology | CURVES | Natural pseudo-distance | SURFACES

Journal Article

1980, Notas de matemática, ISBN 9780444854360, Volume 40., viii, 226

Book

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

In this paper, in a b-metric space, we introduce the concept of b-generalized pseudodistances which are the extension of b-metric. Next, inspired by ideas of...

Mathematical and Computational Biology | Analysis | b -metric spaces | coincidence points theorem | Mathematics, general | b -generalized pseudodistances | Mathematics | Applications of Mathematics | Topology | Differential Geometry | b-metric spaces | Coincidence points theorem | b-generalized pseudodistances | EXISTENCE | MATHEMATICS | MATHEMATICS, APPLIED | QUASI-ASYMPTOTIC CONTRACTIONS | VALUED DYNAMIC-SYSTEMS | MAPPINGS | CONE UNIFORM | FIXED-POINTS | Fixed point theory | Usage | Metric spaces | Contraction operators

Mathematical and Computational Biology | Analysis | b -metric spaces | coincidence points theorem | Mathematics, general | b -generalized pseudodistances | Mathematics | Applications of Mathematics | Topology | Differential Geometry | b-metric spaces | Coincidence points theorem | b-generalized pseudodistances | EXISTENCE | MATHEMATICS | MATHEMATICS, APPLIED | QUASI-ASYMPTOTIC CONTRACTIONS | VALUED DYNAMIC-SYSTEMS | MAPPINGS | CONE UNIFORM | FIXED-POINTS | Fixed point theory | Usage | Metric spaces | Contraction operators

Journal Article

Pacific Journal of Mathematics, ISSN 0030-8730, 2017, Volume 287, Issue 2, pp. 411 - 422

We show the equality between the Lempert function and the Green function with two poles with equal weights in the bidisc, thus giving the positive answer to a...

Carathéodory pseudodistance | M-complex geodesic | Coman conjecture | Bidisc | Green function | M-extremal | Lempert function | MATHEMATICS | 2 POLES | m-extremal | Caratheodory pseudodistance | m-complex geodesic | bidisc | PLURICOMPLEX GREEN-FUNCTION | DOMAINS | EXTREMAL HOLOMORPHIC MAPS

Carathéodory pseudodistance | M-complex geodesic | Coman conjecture | Bidisc | Green function | M-extremal | Lempert function | MATHEMATICS | 2 POLES | m-extremal | Caratheodory pseudodistance | m-complex geodesic | bidisc | PLURICOMPLEX GREEN-FUNCTION | DOMAINS | EXTREMAL HOLOMORPHIC MAPS

Journal Article

Nonlinear Analysis, Theory, Methods and Applications, ISSN 0362-546X, 05/2009, Volume 70, Issue 9, pp. 3332 - 3341

Given a uniform space X and nonempty subsets A and B of X, we introduce the concepts of some families V of generalized pseudodistances on X, of set-valued...

Relatively quasi-asymptotic contraction | Metric space | Upper semicontinuous map | Family of generalized pseudodistances | Closed map | Uniform space | Locally convex space | Cyclic and noncyclic set-valued dynamic systems | Dynamic process | Best proximity point | Generalized sequence of iterations | MATHEMATICS, APPLIED | MATHEMATICS

Relatively quasi-asymptotic contraction | Metric space | Upper semicontinuous map | Family of generalized pseudodistances | Closed map | Uniform space | Locally convex space | Cyclic and noncyclic set-valued dynamic systems | Dynamic process | Best proximity point | Generalized sequence of iterations | MATHEMATICS, APPLIED | MATHEMATICS

Journal Article

Monatshefte für Mathematik, ISSN 0026-9255, 2/2009, Volume 156, Issue 2, pp. 159 - 165

This note should clarify how the behavior of certain invariant objects reflects the geometric convexity of balanced domains.

Balanced domain, Minkowski function, Lempert functions, Kobayashi pseudodistance, Carathéodory pseudodistance | 2000 Mathematics Subject Classification: 32F45 | Mathematics, general | Mathematics | Balanced domain | Carathéodory pseudodistance | Minkowski function | Lempert functions | Kobayashi pseudodistance | MATHEMATICS | Caratheodory pseudodistance

Balanced domain, Minkowski function, Lempert functions, Kobayashi pseudodistance, Carathéodory pseudodistance | 2000 Mathematics Subject Classification: 32F45 | Mathematics, general | Mathematics | Balanced domain | Carathéodory pseudodistance | Minkowski function | Lempert functions | Kobayashi pseudodistance | MATHEMATICS | Caratheodory pseudodistance

Journal Article

Abstract and Applied Analysis, ISSN 1085-3375, 2014, Volume 2014, pp. 1 - 5

We study generalized metric spaces, which were introduced by Branciari (2000). In particular, generalized metric spaces do not necessarily have the compatible...

BANACH-CACCIOPPOLI TYPE | MEIR-KEELER | MATHEMATICS | MATHEMATICS, APPLIED | PSEUDODISTANCES | FIXED-POINT THEOREM | CONTRACTIONS | Metric spaces | Research | Topology | Mathematical research | Algebraic topology | Mappings (Mathematics) | Biometrics | Traveling salesman problem | Management science | Dynamical systems | Quotas | Cybernetics

BANACH-CACCIOPPOLI TYPE | MEIR-KEELER | MATHEMATICS | MATHEMATICS, APPLIED | PSEUDODISTANCES | FIXED-POINT THEOREM | CONTRACTIONS | Metric spaces | Research | Topology | Mathematical research | Algebraic topology | Mappings (Mathematics) | Biometrics | Traveling salesman problem | Management science | Dynamical systems | Quotas | Cybernetics

Journal Article

Fixed Point Theory and Applications, ISSN 1687-1820, 12/2011, Volume 2011, Issue 1, pp. 1 - 24

In uniform spaces, using -families of generalized pseudodistances, we construct four kinds of contractions of Kannan type and, by techniques based on these...

Mathematical and Computational Biology | family of generalized pseudodistances | iterative approximation | contractions of Kannan type | Mathematics | Topology | metric space | fixed point | Analysis | Mathematics, general | Applications of Mathematics | Differential Geometry | uniform space | Iterative approximation | Contractions of Kannan type, fixed point | Uniform space, metric space, J-family of generalized pseudodistances | EXISTENCE | MATHEMATICS | MATHEMATICS, APPLIED | contractions of Kannan type, fixed point | THEOREMS | uniform space, metric space, J-family of generalized pseudodistances | MAPPINGS | COMPLETE METRIC-SPACES | Usage | Fixed point theory | Approximation theory | Metric spaces | Methods | Contraction operators

Mathematical and Computational Biology | family of generalized pseudodistances | iterative approximation | contractions of Kannan type | Mathematics | Topology | metric space | fixed point | Analysis | Mathematics, general | Applications of Mathematics | Differential Geometry | uniform space | Iterative approximation | Contractions of Kannan type, fixed point | Uniform space, metric space, J-family of generalized pseudodistances | EXISTENCE | MATHEMATICS | MATHEMATICS, APPLIED | contractions of Kannan type, fixed point | THEOREMS | uniform space, metric space, J-family of generalized pseudodistances | MAPPINGS | COMPLETE METRIC-SPACES | Usage | Fixed point theory | Approximation theory | Metric spaces | Methods | Contraction operators

Journal Article

The Journal of Geometric Analysis, ISSN 1050-6926, 10/2014, Volume 24, Issue 4, pp. 2124 - 2134

We show that for any bounded domain $\varOmega\subset\mathbb{C} ^{n}$ of 1-type 2k which is locally convexifiable at p∈bΩ, having a Stein neighborhood basis,...

Mathematics | Abstract Harmonic Analysis | Invariant metrics and pseudodistances | Fourier Analysis | Convex and Discrete Geometry | Global Analysis and Analysis on Manifolds | Strongly pseudoconvex domains | Finite type | Differential Geometry | Dynamical Systems and Ergodic Theory | Holomorphic mappings | 32H02, 32E30 | 32T25 | MATHEMATICS

Mathematics | Abstract Harmonic Analysis | Invariant metrics and pseudodistances | Fourier Analysis | Convex and Discrete Geometry | Global Analysis and Analysis on Manifolds | Strongly pseudoconvex domains | Finite type | Differential Geometry | Dynamical Systems and Ergodic Theory | Holomorphic mappings | 32H02, 32E30 | 32T25 | MATHEMATICS

Journal Article

Fixed Point Theory and Applications, ISSN 1687-1820, 12/2014, Volume 2014, Issue 1, pp. 1 - 27

In a quasi-gauge space ( X , P ) with quasi-gauge P , using the left (right) J -families of generalized quasi-pseudodistances on X ( J -families on X...

Banach contraction | localization | Mathematical and Computational Biology | Nadler contraction | Mathematics | Hausdorff distance | Topology | dynamic system | generalized quasi-pseudodistance | fixed point | Analysis | quasi-gauge space | periodic point | Mathematics, general | Applications of Mathematics | Differential Geometry | convergence of dynamic process | Periodic point | Quasi-gauge space | Dynamic system | Convergence of dynamic process | Generalized quasi-pseudodistance | Localization | Fixed point | MATHEMATICS, APPLIED | VARIATIONAL PRINCIPLE | GENERALIZED PSEUDODISTANCES | MULTIVALUED CONTRACTIONS | MATHEMATICS | THEOREMS | UNIFORM-SPACES | ASYMPTOTIC CONTRACTIONS | LEADER TYPE | SATISFYING INWARDNESS CONDITIONS | MAPPINGS | COMPLETE METRIC-SPACES | Gauge invariance | Fixed point theory | Banach spaces | Research

Banach contraction | localization | Mathematical and Computational Biology | Nadler contraction | Mathematics | Hausdorff distance | Topology | dynamic system | generalized quasi-pseudodistance | fixed point | Analysis | quasi-gauge space | periodic point | Mathematics, general | Applications of Mathematics | Differential Geometry | convergence of dynamic process | Periodic point | Quasi-gauge space | Dynamic system | Convergence of dynamic process | Generalized quasi-pseudodistance | Localization | Fixed point | MATHEMATICS, APPLIED | VARIATIONAL PRINCIPLE | GENERALIZED PSEUDODISTANCES | MULTIVALUED CONTRACTIONS | MATHEMATICS | THEOREMS | UNIFORM-SPACES | ASYMPTOTIC CONTRACTIONS | LEADER TYPE | SATISFYING INWARDNESS CONDITIONS | MAPPINGS | COMPLETE METRIC-SPACES | Gauge invariance | Fixed point theory | Banach spaces | Research

Journal Article

Fixed Point Theory and Applications, ISSN 1687-1820, 12/2013, Volume 2013, Issue 1, pp. 1 - 27

In quasi-gauge spaces (in the sense of Dugundji and Reilly), we introduce the concept of the left (right) -family of generalized quasi-pseudodistances, and we...

new completeness | Mathematical and Computational Biology | asymmetric structure | iterative approximation | Mathematics | Topology | generalized quasi-pseudodistance | fixed point | Analysis | quasi-gauge space | periodic point | Mathematics, general | contraction | Applications of Mathematics | Differential Geometry | Periodic point | Quasi-gauge space | New completeness | Generalized quasi-pseudodistance | Iterative approximation | Contraction | Asymmetric structure | Fixed point | EXISTENCE | MATHEMATICS, APPLIED | GENERALIZED PSEUDODISTANCES | MATHEMATICS | THEOREMS | UNIFORM-SPACES | COMPLETE METRIC-SPACES | FIXED-POINTS | Fixed point theory | Usage | Banach spaces | Contraction operators

new completeness | Mathematical and Computational Biology | asymmetric structure | iterative approximation | Mathematics | Topology | generalized quasi-pseudodistance | fixed point | Analysis | quasi-gauge space | periodic point | Mathematics, general | contraction | Applications of Mathematics | Differential Geometry | Periodic point | Quasi-gauge space | New completeness | Generalized quasi-pseudodistance | Iterative approximation | Contraction | Asymmetric structure | Fixed point | EXISTENCE | MATHEMATICS, APPLIED | GENERALIZED PSEUDODISTANCES | MATHEMATICS | THEOREMS | UNIFORM-SPACES | COMPLETE METRIC-SPACES | FIXED-POINTS | Fixed point theory | Usage | Banach spaces | Contraction operators

Journal Article

Journal of Multivariate Analysis, ISSN 0047-259X, 03/2013, Volume 115, pp. 359 - 373

Using Rényi pseudodistances, new robustness and efficiency measures are defined. On the basis of these measures, new optimal robust -estimators for...

Weibull distribution | Rényi pseudodistance | Optimal robust estimation | TESTS | MODELS | STATISTICS & PROBABILITY | DIVERGENCE | Renyi pseudodistance | Monte Carlo method | Analysis | Statistics | Statistics Theory | Mathematics

Weibull distribution | Rényi pseudodistance | Optimal robust estimation | TESTS | MODELS | STATISTICS & PROBABILITY | DIVERGENCE | Renyi pseudodistance | Monte Carlo method | Analysis | Statistics | Statistics Theory | Mathematics

Journal Article

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