Journal of Fixed Point Theory and Applications, ISSN 1661-7738, 3/2018, Volume 20, Issue 1, pp. 1 - 16

In 2000, Branciari replaced the triangle inequality by a more general one which today is known as the rectangular inequality and introduced the notion of...

solid | normal and non-solid | Mathematics | 54H25 | Mathematical Methods in Physics | 47H10 | Rectangular cone metric space | fixed point | Analysis | Reich–Perov operator | Mathematics, general | Perov’s operator | spectral radius | BANACH-CACCIOPPOLI TYPE | MATHEMATICS, APPLIED | CONTRACTION-MAPPINGS | THEOREM | MATHEMATICS | COMMON FIXED-POINTS | Reich-Perov operator | Perov's operator | Mechanical engineering

solid | normal and non-solid | Mathematics | 54H25 | Mathematical Methods in Physics | 47H10 | Rectangular cone metric space | fixed point | Analysis | Reich–Perov operator | Mathematics, general | Perov’s operator | spectral radius | BANACH-CACCIOPPOLI TYPE | MATHEMATICS, APPLIED | CONTRACTION-MAPPINGS | THEOREM | MATHEMATICS | COMMON FIXED-POINTS | Reich-Perov operator | Perov's operator | Mechanical engineering

Journal Article

JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, ISSN 2008-1898, 2017, Volume 10, Issue 3, pp. 1030 - 1043

The aim of this paper is to present some fixed point results for generalized Wardowski-type contractions in the framework of (alpha.eta)-completerectangular...

BANACH-CACCIOPPOLI TYPE | MATHEMATICS | FIXED-POINT THEOREMS | F-contraction | rectangular metric space | b-metric space | property P | MAPPINGS | admissible mappings | Hardy-Rogers condition

BANACH-CACCIOPPOLI TYPE | MATHEMATICS | FIXED-POINT THEOREMS | F-contraction | rectangular metric space | b-metric space | property P | MAPPINGS | admissible mappings | Hardy-Rogers condition

Journal Article

3.
Full Text
Fixed points of A dagger iriAc-Matkowski-type contractions in -generalized metric spaces

REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS, ISSN 1578-7303, 01/2017, Volume 111, Issue 1, pp. 57 - 64

In this paper, fixed point theorems for A dagger iriAc-Matkowski-type contractions in -generalized metric spaces are presented. Then, by replacing the distance...

BANACH-CACCIOPPOLI TYPE | MATHEMATICS | Ciric-Matkowski-type contraction | THEOREM | nu-Generalized metric space | Cauchy sequence | Fixed point

BANACH-CACCIOPPOLI TYPE | MATHEMATICS | Ciric-Matkowski-type contraction | THEOREM | nu-Generalized metric space | Cauchy sequence | Fixed point

Journal Article

Journal of Nonlinear Science and Applications, ISSN 2008-1898, 08/2015, Volume 8, Issue 6, pp. 944 - 954

We obtain (common) fixed point results for mappings in b-metric and b-rectangular metric spaces, under the Pata-type conditions. In particular, we show that...

Pata-type condition | b-rectangular metric space | b-metric space | BANACH-CACCIOPPOLI TYPE | MATHEMATICS | THEOREMS | PSI | MAPPINGS | PHI-CONTRACTIONS

Pata-type condition | b-rectangular metric space | b-metric space | BANACH-CACCIOPPOLI TYPE | MATHEMATICS | THEOREMS | PSI | MAPPINGS | PHI-CONTRACTIONS

Journal Article

JOURNAL OF NONLINEAR AND CONVEX ANALYSIS, ISSN 1345-4773, 2016, Volume 17, Issue 7, pp. 1291 - 1301

In this paper, we state and prove results regarding alpha-psi-Geraghty contractive mappings in the setting of quasi-Branciari metric spaces. We provide...

Geraghty type contraction | BANACH-CACCIOPPOLI TYPE | MATHEMATICS | MATHEMATICS, APPLIED | auxiliary function | FIXED-POINT THEOREM

Geraghty type contraction | BANACH-CACCIOPPOLI TYPE | MATHEMATICS | MATHEMATICS, APPLIED | auxiliary function | FIXED-POINT THEOREM

Journal Article

Filomat, ISSN 0354-5180, 1/2017, Volume 31, Issue 11, pp. 3483 - 3494

The aim of this article is to study common fixed point theorems in generalized metric spaces and obtain sufficient conditions for the existence of C-class...

Mathematical functions | Diagonal lemma | College mathematics | BANACH-CACCIOPPOLI TYPE | MATHEMATICS | MATHEMATICS, APPLIED | Common fixed point | OPTIMAL COINCIDENCE | generalized metric space | Contractive type mapping | C-class function

Mathematical functions | Diagonal lemma | College mathematics | BANACH-CACCIOPPOLI TYPE | MATHEMATICS | MATHEMATICS, APPLIED | Common fixed point | OPTIMAL COINCIDENCE | generalized metric space | Contractive type mapping | C-class function

Journal Article

JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, ISSN 2008-1898, 2017, Volume 10, Issue 8, pp. 4307 - 4317

We consider a coincidence-point problem in the setting of rectangular cone metric spaces. Using alpha-admissible mappings and following Perov's approach, we...

alpha-admissible mapping | BANACH-CACCIOPPOLI TYPE | MATHEMATICS | g-contraction of Perov type | COMMON FIXED-POINTS | Rectangular cone metric space | solid cone | THEOREM | alpha-g-contraction of Perov type | MAPPINGS | spectral radius

alpha-admissible mapping | BANACH-CACCIOPPOLI TYPE | MATHEMATICS | g-contraction of Perov type | COMMON FIXED-POINTS | Rectangular cone metric space | solid cone | THEOREM | alpha-g-contraction of Perov type | MAPPINGS | spectral radius

Journal Article

Applied Mathematics Letters, ISSN 0893-9659, 05/2012, Volume 25, Issue 5, pp. 902 - 906

We establish a fixed point theorem for mappings satisfying -weakly contractive conditions in complete generalized metric spaces, a concept introduced in [A....

Weakly contractive condition | Generalized metric | Contraction of integral type | Fixed point | BANACH-CACCIOPPOLI TYPE | MATHEMATICS, APPLIED | THEOREM | Theorems | Fixed points (mathematics) | Mapping | Metric space | Mathematical analysis

Weakly contractive condition | Generalized metric | Contraction of integral type | Fixed point | BANACH-CACCIOPPOLI TYPE | MATHEMATICS, APPLIED | THEOREM | Theorems | Fixed points (mathematics) | Mapping | Metric space | Mathematical analysis

Journal Article

Journal of Computational Analysis and Applications, ISSN 1521-1398, 2013, Volume 15, Issue 7, pp. 1257 - 1265

A fixed point theorem in generalized quasi-metric spaces is proved. The obtained result extends in generalized quasi-metric spaces the Ciric's fixed point...

Quasi-contraction | Cauchy sequence | Generalized quasi-metric space | Fixed point | BANACH-CACCIOPPOLI TYPE | MATHEMATICS, APPLIED | generalized quasi-metric space | fixed point | MAPPINGS | COMPUTER SCIENCE, THEORY & METHODS | quasi-contraction | QUASIMETRIC SPACES

Quasi-contraction | Cauchy sequence | Generalized quasi-metric space | Fixed point | BANACH-CACCIOPPOLI TYPE | MATHEMATICS, APPLIED | generalized quasi-metric space | fixed point | MAPPINGS | COMPUTER SCIENCE, THEORY & METHODS | quasi-contraction | QUASIMETRIC SPACES

Journal Article

ABSTRACT AND APPLIED ANALYSIS, ISSN 1085-3375, 2014, Volume 2014

We discuss the existence and uniqueness of fixed points of alpha - psi contractive mappings in complete generalized metric spaces, introduced by Branciari. Our...

BANACH-CACCIOPPOLI TYPE | MATHEMATICS, APPLIED | MAPPINGS | FIXED-POINT THEOREM | Metric space | Mapping | Uniqueness

BANACH-CACCIOPPOLI TYPE | MATHEMATICS, APPLIED | MAPPINGS | FIXED-POINT THEOREM | Metric space | Mapping | Uniqueness

Journal Article

Applied Mathematics and Computation, ISSN 0096-3003, 03/2012, Volume 218, Issue 13, pp. 7322 - 7325

We establish some common fixed point theorems for mappings satisfying a -weakly contractive condition in generalized metric spaces. Presented theorems extend...

Weakly contractive condition | Generalized metric | Contraction of integral type | Common fixed points | Fixed point | BANACH-CACCIOPPOLI TYPE | MATHEMATICS, APPLIED | THEOREM | Theorems | Fixed points (mathematics) | Mathematical models | Mapping | Metric space | Computation

Weakly contractive condition | Generalized metric | Contraction of integral type | Common fixed points | Fixed point | BANACH-CACCIOPPOLI TYPE | MATHEMATICS, APPLIED | THEOREM | Theorems | Fixed points (mathematics) | Mathematical models | Mapping | Metric space | Computation

Journal Article

SYMMETRY-BASEL, ISSN 2073-8994, 04/2019, Volume 11, Issue 4, p. 594

In this paper, we introduce the class of extended rectangular b-metric spaces as a generalization of both rectangular metric and rectangular b-metric spaces....

BANACH-CACCIOPPOLI TYPE | fixed point | generalized metric space | rectangular metric space | MULTIDISCIPLINARY SCIENCES | b-metric space

BANACH-CACCIOPPOLI TYPE | fixed point | generalized metric space | rectangular metric space | MULTIDISCIPLINARY SCIENCES | b-metric space

Journal Article

Nonlinear Analysis: Modelling and Control, ISSN 1392-5113, 06/2016, Volume 21, Issue 5, pp. 614 - 634

In this work, the class of b-rectangular metric spaces is introduced, some fixed point results dealing with rational type contractions and almost generalized...

Generalized metric space | Altering distance function | B-metric space | Rectangular space | Geraghty condition | BANACH-CACCIOPPOLI TYPE | rectangular space | altering distance function | MATHEMATICS, APPLIED | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | MECHANICS | generalized metric space | THEOREMS | b-metric space | CONTRACTIONS

Generalized metric space | Altering distance function | B-metric space | Rectangular space | Geraghty condition | BANACH-CACCIOPPOLI TYPE | rectangular space | altering distance function | MATHEMATICS, APPLIED | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | MECHANICS | generalized metric space | THEOREMS | b-metric space | CONTRACTIONS

Journal Article

Fixed Point Theory and Applications, ISSN 1687-1820, 2013, Volume 2013, Issue 1, pp. 1 - 9

A 'generalized metric space' is a semimetric space which does not satisfy the triangle inequality, but which satisfies a weaker assumption called the...

Fixed points | Caristi's theorem | Semimetric spaces | Contraction mappings metric spaces | Generalized metric spaces | BANACH-CACCIOPPOLI TYPE | MATHEMATICS | MATHEMATICS, APPLIED | fixed points | SPACES | contraction mappings metric spaces | semimetric spaces | generalized metric spaces | FIXED-POINT THEOREM | Theorems | Axioms | Metric space | Theorem proving | Triangles | Quadrilaterals | Inequalities | Standards

Fixed points | Caristi's theorem | Semimetric spaces | Contraction mappings metric spaces | Generalized metric spaces | BANACH-CACCIOPPOLI TYPE | MATHEMATICS | MATHEMATICS, APPLIED | fixed points | SPACES | contraction mappings metric spaces | semimetric spaces | generalized metric spaces | FIXED-POINT THEOREM | Theorems | Axioms | Metric space | Theorem proving | Triangles | Quadrilaterals | Inequalities | Standards

Journal Article

Journal of Inequalities and Applications, ISSN 1025-5834, 12/2014, Volume 2014, Issue 1, pp. 1 - 16

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

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

NONLINEAR ANALYSIS-MODELLING AND CONTROL, ISSN 1392-5113, 2014, Volume 19, Issue 1, pp. 43 - 54

We establish some common fixed point theorems for mappings satisfying an alpha-psi-phi-contractive condition condition in generalized metric spaces. Presented...

BANACH-CACCIOPPOLI TYPE | MATHEMATICS, APPLIED | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | MECHANICS | fixed point | THEOREM | generalized metric space | common fixed point | MAPPINGS | alpha-psi-phi-contractive condition | contraction of integral type | α-ψ-ϕ-contractive condition

BANACH-CACCIOPPOLI TYPE | MATHEMATICS, APPLIED | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | MECHANICS | fixed point | THEOREM | generalized metric space | common fixed point | MAPPINGS | alpha-psi-phi-contractive condition | contraction of integral type | α-ψ-ϕ-contractive condition

Journal Article

JOURNAL OF FUNCTION SPACES, ISSN 2314-8896, 2015, Volume 2015

We discuss the completeness of nu-generalized metric spaces in the sense of Branciari. We also prove generalizations of Subrahmanyam's and Caristi's fixed...

BANACH-CACCIOPPOLI TYPE | MATHEMATICS | MATHEMATICS, APPLIED | Theorems | Fixed points (mathematics) | Function space | Metric space | Completeness

BANACH-CACCIOPPOLI TYPE | MATHEMATICS | MATHEMATICS, APPLIED | Theorems | Fixed points (mathematics) | Function space | Metric space | Completeness

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, 12/2013, Volume 2013, Issue 1, pp. 1 - 6

We establish some common fixed point theorems for mappings satisfying a -weakly contractive condition in generalized metric spaces. Presented theorems extend...

Mathematical and Computational Biology | fixed point | Analysis | generalized metric | Mathematics, general | Mathematics | Applications of Mathematics | Topology | common fixed points | Differential Geometry | contraction of integral type | weakly contractive condition | Weakly contractive condition | Generalized metric | Contraction of integral type | Common fixed points | Fixed point | BANACH-CACCIOPPOLI TYPE | MATHEMATICS | MATHEMATICS, APPLIED | THEOREM

Mathematical and Computational Biology | fixed point | Analysis | generalized metric | Mathematics, general | Mathematics | Applications of Mathematics | Topology | common fixed points | Differential Geometry | contraction of integral type | weakly contractive condition | Weakly contractive condition | Generalized metric | Contraction of integral type | Common fixed points | Fixed point | BANACH-CACCIOPPOLI TYPE | MATHEMATICS | MATHEMATICS, APPLIED | THEOREM

Journal Article

Journal of Fixed Point Theory and Applications, ISSN 1661-7738, 9/2019, Volume 21, Issue 3, pp. 1 - 18

In this paper, we topologically study the generalized metric space proposed by Branciari. Many familiar topological properties and principles still hold in...

Mathematical Methods in Physics | 47H10 | metrizable | Analysis | Baire category theorem | Mathematics, general | Branciari distance space | Mathematics | Cauchy sequence | 54H25 | BANACH-CACCIOPPOLI TYPE | MATHEMATICS | MATHEMATICS, APPLIED | GENERALIZED METRIC-SPACES | FIXED-POINT THEOREM | Medicine, Experimental | Medical research | Medical colleges

Mathematical Methods in Physics | 47H10 | metrizable | Analysis | Baire category theorem | Mathematics, general | Branciari distance space | Mathematics | Cauchy sequence | 54H25 | BANACH-CACCIOPPOLI TYPE | MATHEMATICS | MATHEMATICS, APPLIED | GENERALIZED METRIC-SPACES | FIXED-POINT THEOREM | Medicine, Experimental | Medical research | Medical colleges

Journal Article

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