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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 ordered partial metric spaces...

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

Annals of functional analysis, ISSN 2008-8752, 2010, Volume 1, Issue 2, pp. 46 - 56

In this paper, we establish some new coupled fixed point theorems in complete metric spaces, using a new concept of F-invariant set...

Partially ordered set | Coupled fixed point | F-invariant set | Fixed point of N-order | Cone metric space | Physical Sciences | Mathematics | Mathematics, Applied | Science & Technology

Partially ordered set | Coupled fixed point | F-invariant set | Fixed point of N-order | Cone metric space | Physical Sciences | Mathematics | Mathematics, Applied | Science & Technology

Journal Article

Nonlinear analysis, ISSN 0362-546X, 2012, Volume 75, Issue 4, pp. 2154 - 2165

In this paper, we introduce a new concept of
Î±
â€“
Ïˆ
-contractive type mappings and establish fixed point theorems for such mappings in complete metric spaces...

Contractive mapping | Coupled fixed point | Fixed point

Contractive mapping | Coupled fixed point | Fixed point

Journal Article

Fixed point theory and applications (Hindawi Publishing Corporation), ISSN 1687-1820, 12/2013, Volume 2013, Issue 1, pp. 1 - 14

Very recently, Samet et al. (Int. J. Anal. 2013:917158, 2013) and Jleli-Samet (Fixed Point Theory Appl. 2012:210, 2012...

metric space | Mathematical and Computational Biology | fixed point | Analysis | coupled fixed point | Mathematics, general | Mathematics | Applications of Mathematics | Topology | Differential Geometry | ordered set | Coupled fixed point | Metric space | Ordered set | Fixed point | Physical Sciences | Mathematics, Applied | Science & Technology | Fixed point theory | Usage | Metric spaces | Contraction operators

metric space | Mathematical and Computational Biology | fixed point | Analysis | coupled fixed point | Mathematics, general | Mathematics | Applications of Mathematics | Topology | Differential Geometry | ordered set | Coupled fixed point | Metric space | Ordered set | Fixed point | Physical Sciences | Mathematics, Applied | Science & Technology | Fixed point theory | Usage | Metric spaces | Contraction operators

Journal Article

Fixed point theory and applications (Hindawi Publishing Corporation), ISSN 1687-1820, 12/2013, Volume 2013, Issue 1, pp. 1 - 12

In this paper, we show that, unexpectedly, most of the coupled fixed point theorems...

metric space | Mathematical and Computational Biology | fixed point | Analysis | coupled fixed point | Mathematics, general | Mathematics | Applications of Mathematics | Topology | Differential Geometry | ordered set | Physical Sciences | Mathematics, Applied | Science & Technology | Fixed point theory | Usage | Metric spaces | Contraction operators

metric space | Mathematical and Computational Biology | fixed point | Analysis | coupled fixed point | Mathematics, general | Mathematics | Applications of Mathematics | Topology | Differential Geometry | ordered set | Physical Sciences | Mathematics, Applied | Science & Technology | Fixed point theory | Usage | Metric spaces | Contraction operators

Journal Article

Fixed point theory and applications (Hindawi Publishing Corporation), ISSN 1687-1820, 12/2013, Volume 2013, Issue 1, pp. 1 - 18

.... Some new coupled coincidence point and coupled common fixed point theorems are obtained. An example is given to support the usability of our results...

mixed g -monotone property | Mathematical and Computational Biology | Analysis | G -metric space | Mathematics, general | Mathematics | Applications of Mathematics | Topology | Differential Geometry | coupled coincidence point | partial order | coupled common fixed point | Coupled common fixed point | Coupled coincidence point | Mixed g-monotone property | G-metric space | Partial order | Physical Sciences | Mathematics, Applied | Science & Technology | Fixed point theory | Usage | Metric spaces | Contraction operators

mixed g -monotone property | Mathematical and Computational Biology | Analysis | G -metric space | Mathematics, general | Mathematics | Applications of Mathematics | Topology | Differential Geometry | coupled coincidence point | partial order | coupled common fixed point | Coupled common fixed point | Coupled coincidence point | Mixed g-monotone property | G-metric space | Partial order | Physical Sciences | Mathematics, Applied | Science & Technology | Fixed point theory | Usage | Metric spaces | Contraction operators

Journal Article

Fixed point theory and applications (Hindawi Publishing Corporation), ISSN 1687-1820, 12/2016, Volume 2016, Issue 1, pp. 1 - 21

In this paper, we introduce the notion of diagonal operator, we present the historical roots of diagonal operators and we give some fixed point theorems for this class of operators...

weakly Picard operator | difference equation | diagonal operator | differential equation | research direction | Mathematical and Computational Biology | Mathematics | fixed point structure | Topology | 54H25 | 47H10 | multi-valued operator | fixed point | integral equation | Analysis | coupled fixed point | 47H09 | Mathematics, general | Applications of Mathematics | Differential Geometry | 47J25 | 65J15 | Differential equation | Multi-valued operator | Research direction | Fixed point structure | Weakly Picard operator | Coupled fixed point | Integral equation | Difference equation | Diagonal operator | Fixed point | Operators | Theorems | Fixed points (mathematics) | Difference equations | Integral equations | Roots | Differential equations

weakly Picard operator | difference equation | diagonal operator | differential equation | research direction | Mathematical and Computational Biology | Mathematics | fixed point structure | Topology | 54H25 | 47H10 | multi-valued operator | fixed point | integral equation | Analysis | coupled fixed point | 47H09 | Mathematics, general | Applications of Mathematics | Differential Geometry | 47J25 | 65J15 | Differential equation | Multi-valued operator | Research direction | Fixed point structure | Weakly Picard operator | Coupled fixed point | Integral equation | Difference equation | Diagonal operator | Fixed point | Operators | Theorems | Fixed points (mathematics) | Difference equations | Integral equations | Roots | Differential equations

Journal Article

Fixed point theory and applications (Hindawi Publishing Corporation), ISSN 1687-1820, 12/2013, Volume 2013, Issue 1, pp. 1 - 20

.... Therefore, these results can be applied in a much wider class of problems. We also prove the uniqueness of a common coupled fixed point in this setup and give...

common coupled fixed point | cone metric spaces | mixed g -monotone property | Mathematical and Computational Biology | compatible mappings | Analysis | Mathematics, general | Mathematics | Applications of Mathematics | Topology | Differential Geometry | coupled coincidence point | W-compatible mappings | Common coupled fixed point | Coupled coincidence point | Mixed g-monotone property | Cone metric spaces | Physical Sciences | Mathematics, Applied | Science & Technology | Fixed point theory | Usage | Metric spaces | Contraction operators | Theorems | Fixed points (mathematics) | Mapping | Metric space | Uniqueness

common coupled fixed point | cone metric spaces | mixed g -monotone property | Mathematical and Computational Biology | compatible mappings | Analysis | Mathematics, general | Mathematics | Applications of Mathematics | Topology | Differential Geometry | coupled coincidence point | W-compatible mappings | Common coupled fixed point | Coupled coincidence point | Mixed g-monotone property | Cone metric spaces | Physical Sciences | Mathematics, Applied | Science & Technology | Fixed point theory | Usage | Metric spaces | Contraction operators | Theorems | Fixed points (mathematics) | Mapping | Metric space | Uniqueness

Journal Article

Computers & mathematics with applications (1987), ISSN 0898-1221, 2012, Volume 63, Issue 1, pp. 298 - 309

In this paper, we establish coupled coincidence and common coupled fixed point theorems for
(
Ïˆ
,
Ï•...

[formula omitted]-metric space | Common coupled fixed point | Coupled coincidence point | Mixed monotone property | Ordered set | G-metric space | Physical Sciences | Mathematics | Mathematics, Applied | Science & Technology | Theorems | Fixed points (mathematics) | Mathematical models | Mapping

[formula omitted]-metric space | Common coupled fixed point | Coupled coincidence point | Mixed monotone property | Ordered set | G-metric space | Physical Sciences | Mathematics | Mathematics, Applied | Science & Technology | Theorems | Fixed points (mathematics) | Mathematical models | Mapping

Journal Article

Nonlinear analysis (Vilnius, Lithuania), ISSN 1392-5113, 02/2014, Volume 19, Issue 2, pp. 178 - 198

... approximation of the fixed point for this type of contraction. The presented theorems extend, generalize and improve several existing results in literature...

Ordered metric space | Coupled fixed point | Two point boundary value problem | Cyclic contraction | Î±-contractive mapping of Meir-Keeler type | Fixed point | Mathematics, Interdisciplinary Applications | Physical Sciences | Technology | Mechanics | Mathematics | Mathematics, Applied | Science & Technology | cyclic contraction | Î±-contractive mapping of Meirâ€“Keeler type | fixed point | ordered metric space | two point boundary value problem | coupled fixed point

Ordered metric space | Coupled fixed point | Two point boundary value problem | Cyclic contraction | Î±-contractive mapping of Meir-Keeler type | Fixed point | Mathematics, Interdisciplinary Applications | Physical Sciences | Technology | Mechanics | Mathematics | Mathematics, Applied | Science & Technology | cyclic contraction | Î±-contractive mapping of Meirâ€“Keeler type | fixed point | ordered metric space | two point boundary value problem | coupled fixed point

Journal Article

Fixed point theory and applications (Hindawi Publishing Corporation), ISSN 1687-1820, 12/2012, Volume 2012, Issue 1, pp. 1 - 11

The object of this paper is to determine some coupled fixed point theorems for nonlinear contractive mappings in the framework of a metric space endowed with partial order...

metric space | partially ordered set | Mathematical and Computational Biology | Analysis | coupled fixed point | contractive mapping | Mathematics, general | Mathematics | Applications of Mathematics | Topology | Differential Geometry | Partially ordered set | Coupled fixed point | Contractive mapping | Metric space

metric space | partially ordered set | Mathematical and Computational Biology | Analysis | coupled fixed point | contractive mapping | Mathematics, general | Mathematics | Applications of Mathematics | Topology | Differential Geometry | Partially ordered set | Coupled fixed point | Contractive mapping | Metric space

Journal Article

Fixed point theory and applications (Hindawi Publishing Corporation), ISSN 1687-1820, 12/2013, Volume 2013, Issue 1, pp. 1 - 21

In this paper, we will present fixed point theorems for singlevalued and multivalued operators in spaces endowed with vector-valued metrics, as well as a Gnana Bhaskar-Lakshmikantham-type theorem...

Ulam-Hyers stability | Mathematical and Computational Biology | limit shadowing property | Mathematics | Topology | singlevalued operator | fixed point | ordered metric space | Analysis | coupled fixed point | Mathematics, general | Applications of Mathematics | vector-valued metric | Differential Geometry | multivalued operator | Multivalued operator | Singlevalued operator | Limit shadowing property | Ordered metric space | Coupled fixed point | Vector-valued metric | Fixed point | Physical Sciences | Mathematics, Applied | Science & Technology | Fixed point theory | Usage | Metric spaces | Nonlinear programming

Ulam-Hyers stability | Mathematical and Computational Biology | limit shadowing property | Mathematics | Topology | singlevalued operator | fixed point | ordered metric space | Analysis | coupled fixed point | Mathematics, general | Applications of Mathematics | vector-valued metric | Differential Geometry | multivalued operator | Multivalued operator | Singlevalued operator | Limit shadowing property | Ordered metric space | Coupled fixed point | Vector-valued metric | Fixed point | Physical Sciences | Mathematics, Applied | Science & Technology | Fixed point theory | Usage | Metric spaces | Nonlinear programming

Journal Article

Nonlinear analysis, ISSN 0362-546X, 04/2012, Volume 75, Issue 6, pp. 3218 - 3228

In this paper, we extend the coupled fixed point theorems for mixed monotone operators F:XÃ—X...

Coupled fixed point | Integral equation | Contractive condition | Metric space | Mixed monotone mapping

Coupled fixed point | Integral equation | Contractive condition | Metric space | Mixed monotone mapping

Journal Article

Revista de la Real Academia de Ciencias Exactas, FÃsicas y Naturales. Serie A, MatemÃ¡ticas, ISSN 1578-7303, 9/2015, Volume 109, Issue 2, pp. 471 - 481

In this paper, we compare relation between n-tuple fixed point results and fixed point theorems in abstract metric spaces and metric-like spaces...

Metric-like spaces | 47H10 | n-Tuple fixed point | Theoretical, Mathematical and Computational Physics | Mathematics, general | Mathematics | Coupled fixed point | Applications of Mathematics | Abstract metric spaces | Fixed point | 54H25 | Science & Technology - Other Topics | Physical Sciences | Multidisciplinary Sciences | Science & Technology

Metric-like spaces | 47H10 | n-Tuple fixed point | Theoretical, Mathematical and Computational Physics | Mathematics, general | Mathematics | Coupled fixed point | Applications of Mathematics | Abstract metric spaces | Fixed point | 54H25 | Science & Technology - Other Topics | Physical Sciences | Multidisciplinary Sciences | Science & Technology

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 1687-1820, 12/2011, Volume 2011, Issue 1, pp. 1 - 13

In this article, we prove the existence of common coupled coincidence and coupled fixed point of generalized contractive type mappings in the context of two generalized metric spaces...

common coupled fixed point | Mathematical and Computational Biology | Analysis | generalized metric space | Mathematics, general | Mathematics | Applications of Mathematics | Topology | Differential Geometry | coupled coincidence point | weakly compatible maps | Generalized metric space | Weakly compatible maps | Common coupled fixed point | Coupled coincidence point | Physical Sciences | Mathematics, Applied | Science & Technology | Fixed point theory | Usage | Metric spaces | Contraction operators | Mappings (Mathematics)

common coupled fixed point | Mathematical and Computational Biology | Analysis | generalized metric space | Mathematics, general | Mathematics | Applications of Mathematics | Topology | Differential Geometry | coupled coincidence point | weakly compatible maps | Generalized metric space | Weakly compatible maps | Common coupled fixed point | Coupled coincidence point | Physical Sciences | Mathematics, Applied | Science & Technology | Fixed point theory | Usage | Metric spaces | Contraction operators | Mappings (Mathematics)

Journal Article