Fixed point theory and applications (Hindawi Publishing Corporation), ISSN 1687-1812, 06/2012, Volume 2012, Issue 1, pp. 1 - 6

In the article, we introduce a new concept of contraction and prove a fixed point theorem which generalizes Banach contraction principle in a different way...

complete metric space | F-contraction | Mathematical and Computational Biology | fixed point | Analysis | contractive mapping | Mathematics, general | Mathematics | Topology | Applications of Mathematics | Differential Geometry | Complete metric space | Contractive mapping | Fixed point | Physical Sciences | Mathematics, Applied | Science & Technology | Fixed point theory | Usage | Metric spaces | Contraction operators | Mappings (Mathematics) | Theorems | Fixed points (mathematics) | Mapping | Metric space | Delivery contracts

complete metric space | F-contraction | Mathematical and Computational Biology | fixed point | Analysis | contractive mapping | Mathematics, general | Mathematics | Topology | Applications of Mathematics | Differential Geometry | Complete metric space | Contractive mapping | Fixed point | Physical Sciences | Mathematics, Applied | Science & Technology | Fixed point theory | Usage | Metric spaces | Contraction operators | Mappings (Mathematics) | Theorems | Fixed points (mathematics) | Mapping | Metric space | Delivery contracts

Journal Article

Journal of inequalities and applications, ISSN 1025-5834, 12/2015, Volume 2015, Issue 1, pp. 1 - 11

In this paper, an iterative algorithm is introduced to solve the split common fixed
point problem for asymptotically nonexpansive mappings in Hilbert spaces....

Analysis | Mathematics, general | split common fixed point problem | Mathematics | Hilbert space | Applications of Mathematics | asymptotically nonexpansive mapping | strong convergence | algorithm | Physical Sciences | Mathematics, Applied | Science & Technology | Theorems | Fixed points (mathematics) | Asymptotic properties | Inequalities | Iterative algorithms | Mapping | Convergence

Analysis | Mathematics, general | split common fixed point problem | Mathematics | Hilbert space | Applications of Mathematics | asymptotically nonexpansive mapping | strong convergence | algorithm | Physical Sciences | Mathematics, Applied | Science & Technology | Theorems | Fixed points (mathematics) | Asymptotic properties | Inequalities | Iterative algorithms | Mapping | Convergence

Journal Article

Fixed point theory and applications (Hindawi Publishing Corporation), ISSN 1687-1812, 10/2014, Volume 2014, Issue 1, pp. 1 - 11

In this paper, we extend the result of Wardowski (Fixed Point Theory Appl. 2012:94, 2012) by applying some weaker conditions on the self map of a complete...

metric space | Mathematical and Computational Biology | fixed point | Analysis | Mathematics, general | Mathematics | Applications of Mathematics | Topology | Differential Geometry | F -contraction | F-contraction | Physical Sciences | Mathematics, Applied | Science & Technology | Fixed point theory | Transformations (Mathematics) | Usage | Metric spaces | Theorems | Fixed points (mathematics) | Mapping | Metric space

metric space | Mathematical and Computational Biology | fixed point | Analysis | Mathematics, general | Mathematics | Applications of Mathematics | Topology | Differential Geometry | F -contraction | F-contraction | Physical Sciences | Mathematics, Applied | Science & Technology | Fixed point theory | Transformations (Mathematics) | Usage | Metric spaces | Theorems | Fixed points (mathematics) | Mapping | Metric space

Journal Article

Mathematics of operations research, ISSN 1526-5471, 11/2019, Volume 44, Issue 4, pp. 1174 - 1191

We establish sufficient conditions that ensure the uniqueness of Tarski-type fixed points of monotone operators. A first set of results relies on order...

fixed points | Tarski fixed point theorem | recursive utilities | Operations Research & Management Science | Physical Sciences | Mathematics | Mathematics, Applied | Technology | Science & Technology | Fixed point theory | Research | Mathematical research | Operator theory | Mappings (Mathematics) | Theorems | Fixed points (mathematics) | Mathematical analysis | Mathematical models | Mathematical functions | Concavity

fixed points | Tarski fixed point theorem | recursive utilities | Operations Research & Management Science | Physical Sciences | Mathematics | Mathematics, Applied | Technology | Science & Technology | Fixed point theory | Research | Mathematical research | Operator theory | Mappings (Mathematics) | Theorems | Fixed points (mathematics) | Mathematical analysis | Mathematical models | Mathematical functions | Concavity

Journal Article

Fixed point theory and applications (Hindawi Publishing Corporation), ISSN 1687-1812, 06/2012, Volume 2012, Issue 1, pp. 1 - 8

In this article we obtain, in the setting of metric spaces or ordered metric spaces, coincidence point, and common fixed point theorems for self-mappings in a...

Mathematical and Computational Biology | coincidence point | fixed point | Analysis | common fixed point | Mathematics, general | implicit relation | contraction | Mathematics | Topology | Applications of Mathematics | Differential Geometry | Coincidence point | Common fixed point | Implicit relation | Contraction | Fixed point | Physical Sciences | Mathematics, Applied | Science & Technology | Fixed point theory | Usage | Metric spaces | Functions, Implicit | Mappings (Mathematics) | Theorems | Fixed points (mathematics) | Mapping | Metric space | Mathematical analysis | Classification

Mathematical and Computational Biology | coincidence point | fixed point | Analysis | common fixed point | Mathematics, general | implicit relation | contraction | Mathematics | Topology | Applications of Mathematics | Differential Geometry | Coincidence point | Common fixed point | Implicit relation | Contraction | Fixed point | Physical Sciences | Mathematics, Applied | Science & Technology | Fixed point theory | Usage | Metric spaces | Functions, Implicit | Mappings (Mathematics) | Theorems | Fixed points (mathematics) | Mapping | Metric space | Mathematical analysis | Classification

Journal Article

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

In this paper, we prove some coupled fixed point theorems involving a
(
Ïˆ
,
Ï†
)
-weakly contractive condition for mapping having the mixed monotone property in...

Coupled fixed point | Mixed monotone property | Partial metrics | Partially ordered | Physical Sciences | Mathematics | Mathematics, Applied | Science & Technology | Theorems | Fixed points (mathematics) | Mathematical models | Mapping | Metric space

Coupled fixed point | Mixed monotone property | Partial metrics | Partially ordered | Physical Sciences | Mathematics | Mathematics, Applied | Science & Technology | Theorems | Fixed points (mathematics) | Mathematical models | Mapping | Metric space

Journal Article

Tamkang Journal of Mathematics, ISSN 0049-2930, 03/2015, Volume 46, Issue 1, pp. 61 - 65

Journal Article

Revista de la Real Academia de Ciencias Exactas, FÃsicas y Naturales. Serie A, MatemÃ¡ticas, ISSN 1578-7303, 7/2019, Volume 113, Issue 3, pp. 2923 - 2957

This article surveys many of the recent works regarding simulation functions and
$$\mathcal {Z}$$
Z
-contractions that came into existence after the...

R -contractions | Darbo fixed point theorem | Theoretical, Mathematical and Computational Physics | ({\mathcal {A }}, {\mathcal {S}})$$ ( A , S ) -contractions | Mathematics | Coincidence point | Variational inequality problems | alpha $$ Î± -admissible $$\mathcal {Z}$$ Z -contractions | Best proximity point | Functional-integral equations | 54H25 | 47H10 | Generalized $$\mathcal {Z}$$ Z -contractions | Common fixed point | Suzuki-type $$\mathcal {Z}$$ Z -contractions | mathcal {Z}$$ Z -proximal contractions | Mathematics, general | Applications of Mathematics | First-order periodic problem | Simulation functions | mathcal {Z}$$ Z -contractions | b -simulation functions | Fixed point | b-simulation functions | Z-contractions | Suzuki-type Z-contractions | Î±-admissible Z-contractions | Z-proximal contractions | (A, S) -contractions | Generalized Z-contractions | R-contractions | Science & Technology - Other Topics | Physical Sciences | Multidisciplinary Sciences | Science & Technology | Simulation | Fixed points (mathematics)

R -contractions | Darbo fixed point theorem | Theoretical, Mathematical and Computational Physics | ({\mathcal {A }}, {\mathcal {S}})$$ ( A , S ) -contractions | Mathematics | Coincidence point | Variational inequality problems | alpha $$ Î± -admissible $$\mathcal {Z}$$ Z -contractions | Best proximity point | Functional-integral equations | 54H25 | 47H10 | Generalized $$\mathcal {Z}$$ Z -contractions | Common fixed point | Suzuki-type $$\mathcal {Z}$$ Z -contractions | mathcal {Z}$$ Z -proximal contractions | Mathematics, general | Applications of Mathematics | First-order periodic problem | Simulation functions | mathcal {Z}$$ Z -contractions | b -simulation functions | Fixed point | b-simulation functions | Z-contractions | Suzuki-type Z-contractions | Î±-admissible Z-contractions | Z-proximal contractions | (A, S) -contractions | Generalized Z-contractions | R-contractions | Science & Technology - Other Topics | Physical Sciences | Multidisciplinary Sciences | Science & Technology | Simulation | Fixed points (mathematics)

Journal Article

Fixed point theory and applications (Hindawi Publishing Corporation), ISSN 1687-1820, 2012, Volume 2012, Issue 1, pp. 1 - 14

Coupled fixed point results for nonlinear contraction mappings having a mixed monotone property in a partially ordered G-metric space due to Choudhury and...

Coupled fixed points | G-metric spaces | Mixed monotone property | Partially order set | Physical Sciences | Mathematics | Mathematics, Applied | Science & Technology | Fixed point theory | Usage | Metric spaces | Analysis | Contraction operators | Mappings (Mathematics) | Nonlinearity | Fixed points (mathematics) | Mapping | Mathematical analysis | Classification

Coupled fixed points | G-metric spaces | Mixed monotone property | Partially order set | Physical Sciences | Mathematics | Mathematics, Applied | Science & Technology | Fixed point theory | Usage | Metric spaces | Analysis | Contraction operators | Mappings (Mathematics) | Nonlinearity | Fixed points (mathematics) | Mapping | Mathematical analysis | Classification

Journal Article

Fixed point theory and applications (Hindawi Publishing Corporation), ISSN 1687-1820, 12/2012, Volume 2012, Issue 1, pp. 1 - 14

In this article, we study coupled coincidence and coupled common fixed point theorems in ordered generalized metric spaces for nonlinear contraction condition...

Mathematical and Computational Biology | generalized metric space | Mathematics | Topology | ordered set | coupled common fixed point | altering distance function | Analysis | Mathematics, general | Applications of Mathematics | Differential Geometry | coupled coincidence point | contraction of integral type | weakly contractive condition | Coupled common fixed point | Weakly contractive condition | Ordered set | Generalized metric space | Coupled coincidence point | Altering distance function | Contraction of integral type | Physical Sciences | Mathematics, Applied | Science & Technology | Fixed point theory | Usage | Metric spaces | Contraction operators | Nonlinearity | Theorems | Fixed points (mathematics) | Metric space | Integrals

Mathematical and Computational Biology | generalized metric space | Mathematics | Topology | ordered set | coupled common fixed point | altering distance function | Analysis | Mathematics, general | Applications of Mathematics | Differential Geometry | coupled coincidence point | contraction of integral type | weakly contractive condition | Coupled common fixed point | Weakly contractive condition | Ordered set | Generalized metric space | Coupled coincidence point | Altering distance function | Contraction of integral type | Physical Sciences | Mathematics, Applied | Science & Technology | Fixed point theory | Usage | Metric spaces | Contraction operators | Nonlinearity | Theorems | Fixed points (mathematics) | Metric space | Integrals

Journal Article

Fixed point theory and applications (Hindawi Publishing Corporation), ISSN 1687-1820, 2012, Volume 2012, Issue 1, pp. 1 - 6

The purpose of this article is to show that some recent fixed point theorems are particular results of previous existing theorems in the literature....

Coupled fixed point | Metric space | Ordered set | Cone metric space | Fixed point | Physical Sciences | Mathematics | Mathematics, Applied | Science & Technology | Fixed point theory | Convergence (Mathematics) | Metric spaces | Research | Analysis | Theorems | Fixed points (mathematics) | Mathematical analysis | Classification

Coupled fixed point | Metric space | Ordered set | Cone metric space | Fixed point | Physical Sciences | Mathematics | Mathematics, Applied | Science & Technology | Fixed point theory | Convergence (Mathematics) | Metric spaces | Research | Analysis | Theorems | Fixed points (mathematics) | Mathematical analysis | Classification

Journal Article

Fixed point theory and applications (Hindawi Publishing Corporation), ISSN 1687-1812, 06/2015, Volume 2015, Issue 1, pp. 1 - 18

In this paper, owing to the concept of F-contraction, we define two new classes of functions
M
(
S
,
T
)
$M(S,T)$
and
N
(
S
,
T
)
$N(S,T)$
, and we prove some...

30C10 | 30C45 | F -contractions | Mathematical and Computational Biology | Mathematics | Topology | multivalued mappings | metric space | 47B38 | fixed point | Analysis | Mathematics, general | Applications of Mathematics | Differential Geometry | F-contractions | Physical Sciences | Mathematics, Applied | Science & Technology | Fixed point theory | Usage | Mappings (Mathematics) | Texts | Theorems | Fixed points (mathematics) | Mapping | Metric space

30C10 | 30C45 | F -contractions | Mathematical and Computational Biology | Mathematics | Topology | multivalued mappings | metric space | 47B38 | fixed point | Analysis | Mathematics, general | Applications of Mathematics | Differential Geometry | F-contractions | Physical Sciences | Mathematics, Applied | Science & Technology | Fixed point theory | Usage | Mappings (Mathematics) | Texts | Theorems | Fixed points (mathematics) | Mapping | Metric space

Journal Article

Fixed point theory and applications (Hindawi Publishing Corporation), ISSN 1687-1820, 12/2012, Volume 2012, Issue 1, pp. 1 - 9

In this article, we establish some common fixed point theorems for a hybrid pair {g, T} of single valued and multi-valued maps satisfying a generalized...

Mathematical and Computational Biology | Analysis | multi-valued mappings | common fixed point | Mathematics, general | Mathematics | weakly compatible mappings | Applications of Mathematics | Topology | Differential Geometry | generalized contraction | Generalized contraction | Multi-valued mappings | Weakly compatible mappings | Common fixed point | Fixed point theory | Research | Point mappings (Mathematics) | Contraction operators | Theorems | Fixed points (mathematics) | Complement | Maps

Mathematical and Computational Biology | Analysis | multi-valued mappings | common fixed point | Mathematics, general | Mathematics | weakly compatible mappings | Applications of Mathematics | Topology | Differential Geometry | generalized contraction | Generalized contraction | Multi-valued mappings | Weakly compatible mappings | Common fixed point | Fixed point theory | Research | Point mappings (Mathematics) | Contraction operators | Theorems | Fixed points (mathematics) | Complement | Maps

Journal Article

Mathematics of operations research, ISSN 1526-5471, 11/2018, Volume 43, Issue 4, pp. 1143 - 1176

We develop a framework for quantitative convergence analysis of Picard iterations of expansive set-valued fixed point mappings. There are two key components of...

feasibility | Kurdyka-Lojasiewicz inequality | nonsmooth | transversality | nonconvex | proximal algorithms | analysis of algorithms | fixed points | metric regularity | linear convergence | subtransversality | Nonsmooth | Linear convergence | Proximal algorithms | Fixed points | Feasibility | Metric regularity | Transversality | Analysis of algorithms | Nonconvex | Subtransversality | Operations Research & Management Science | Physical Sciences | Mathematics | Mathematics, Applied | Technology | Science & Technology | Fixed point theory | Convergence (Mathematics) | Research | Mathematical research | Iterative methods (Mathematics) | Mappings (Mathematics) | Algorithms | Picard iterations | Mapping | Convexity | Expansion | Optimization | Convergence

feasibility | Kurdyka-Lojasiewicz inequality | nonsmooth | transversality | nonconvex | proximal algorithms | analysis of algorithms | fixed points | metric regularity | linear convergence | subtransversality | Nonsmooth | Linear convergence | Proximal algorithms | Fixed points | Feasibility | Metric regularity | Transversality | Analysis of algorithms | Nonconvex | Subtransversality | Operations Research & Management Science | Physical Sciences | Mathematics | Mathematics, Applied | Technology | Science & Technology | Fixed point theory | Convergence (Mathematics) | Research | Mathematical research | Iterative methods (Mathematics) | Mappings (Mathematics) | Algorithms | Picard iterations | Mapping | Convexity | Expansion | Optimization | Convergence

Journal Article