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 | MATHEMATICS | MATHEMATICS, APPLIED | FEASIBILITY PROBLEM | SETS | CQ ALGORITHM | 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 | MATHEMATICS | MATHEMATICS, APPLIED | FEASIBILITY PROBLEM | SETS | CQ ALGORITHM | Theorems | Fixed points (mathematics) | Asymptotic properties | Inequalities | Iterative algorithms | Mapping | Convergence

Journal Article

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

...R E S E A R C H Open Access Fixed points of a new type of contractive mappings in complete metric spaces Dariusz Wardowski Correspondence: wardd@math.uni...

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 | MEIR-KEELER TYPE | MATHEMATICS | THEOREMS | SET-VALUED CONTRACTIONS | END-POINTS | SYSTEMS | UNIQUENESS | 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 | MEIR-KEELER TYPE | MATHEMATICS | THEOREMS | SET-VALUED CONTRACTIONS | END-POINTS | SYSTEMS | UNIQUENESS | Fixed point theory | Usage | Metric spaces | Contraction operators | Mappings (Mathematics) | Theorems | Fixed points (mathematics) | Mapping | Metric space | Delivery contracts

Journal Article

Journal of mathematical analysis and applications, ISSN 0022-247X, 2007, Volume 332, Issue 2, pp. 1468 - 1476

In this paper we introduce cone metric spaces, prove some fixed point theorems of contractive mappings on cone metric spaces.

Contractive mapping | Ordered Banach space | Cone metric space | Fixed point | MATHEMATICS | contractive mapping | MATHEMATICS, APPLIED | cone metric space | fixed point | ordered Banach space

Contractive mapping | Ordered Banach space | Cone metric space | Fixed point | MATHEMATICS | contractive mapping | MATHEMATICS, APPLIED | cone metric space | fixed point | ordered Banach space

Journal Article

Journal of mathematical analysis and applications, ISSN 0022-247X, 2008, Volume 345, Issue 2, pp. 719 - 724

Huang and Zhang reviewed cone metric spaces in 2007 [Huang Long-Guang, Zhang Xian, Cone metric spaces and fixed point theorems of contractive mappings, J. Math. Anal. Appl. 332 (2007) 1468–1476...

Normal cones | Non-normal cones | Cone metric space | Fixed point | MATHEMATICS | MATHEMATICS, APPLIED | cone metric space | normal cones | fixed point | non-normal cones

Normal cones | Non-normal cones | Cone metric space | Fixed point | MATHEMATICS | MATHEMATICS, APPLIED | cone metric space | normal cones | fixed point | non-normal cones

Journal Article

Fixed point theory and applications (Hindawi Publishing Corporation), ISSN 1687-1812, 2005, Volume 2005, Issue 1, pp. 685918 - 21

In 1979, Ishikawa proved a strong convergence theorem for finite families of nonexpansive mappings in general Banach spaces...

Mathematical and Computational Biology | Analysis | Mathematics, general | Mathematics | Applications of Mathematics | Topology | Differential Geometry | MATHEMATICS | ITERATION | MATHEMATICS, APPLIED | FIXED-POINT THEOREM | OPERATORS | Convergence (Mathematics) | Research | Mappings (Mathematics)

Mathematical and Computational Biology | Analysis | Mathematics, general | Mathematics | Applications of Mathematics | Topology | Differential Geometry | MATHEMATICS | ITERATION | MATHEMATICS, APPLIED | FIXED-POINT THEOREM | OPERATORS | Convergence (Mathematics) | Research | Mappings (Mathematics)

Journal Article

Mathematics of operations research, ISSN 1526-5471, 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...

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 | MATHEMATICS, APPLIED | COLLECTIONS | STABILITY | LOCAL LINEAR CONVERGENCE | THRESHOLDING ALGORITHM | PROXIMAL POINT ALGORITHM | DOUGLAS-RACHFORD | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | PHASE RETRIEVAL | CONVEX | ALTERNATING PROJECTIONS | Fixed point theory | Convergence (Mathematics) | Research | Mathematical research | Iterative methods (Mathematics) | Mappings (Mathematics)

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 | MATHEMATICS, APPLIED | COLLECTIONS | STABILITY | LOCAL LINEAR CONVERGENCE | THRESHOLDING ALGORITHM | PROXIMAL POINT ALGORITHM | DOUGLAS-RACHFORD | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | PHASE RETRIEVAL | CONVEX | ALTERNATING PROJECTIONS | Fixed point theory | Convergence (Mathematics) | Research | Mathematical research | Iterative methods (Mathematics) | Mappings (Mathematics)

Journal Article

Journal of function spaces, ISSN 2314-8896, 1/2018, Volume 2018, pp. 1 - 4

... points of Meir-Keeler contraction mappings in metric spaces. Theorem 2 (see [4]). Let (X,d) be a complete metric space and f:X→X satisfy the following condition: (d...

MATHEMATICS | MATHEMATICS, APPLIED | KEELER TYPE CONTRACTIONS | THEOREM | Theorems | Fixed points (mathematics) | Estimating techniques | Applied mathematics | Contraction

MATHEMATICS | MATHEMATICS, APPLIED | KEELER TYPE CONTRACTIONS | THEOREM | Theorems | Fixed points (mathematics) | Estimating techniques | Applied mathematics | Contraction

Journal Article

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

In this paper, we introduce the notion of α-ψ-Meir-Keeler contractive mappings via a triangular α-admissible mapping...

fixed points | Mathematical and Computational Biology | Meir-Keeler contractive mappings | Analysis | Mathematics, general | Mathematics | triangular α -admissible mappings | Applications of Mathematics | Topology | Differential Geometry | Fixed points | Triangular α-admissible mappings

fixed points | Mathematical and Computational Biology | Meir-Keeler contractive mappings | Analysis | Mathematics, general | Mathematics | triangular α -admissible mappings | Applications of Mathematics | Topology | Differential Geometry | Fixed points | Triangular α-admissible mappings

Journal Article

Journal of mathematical analysis and applications, ISSN 0022-247X, 2008, Volume 341, Issue 1, pp. 416 - 420

The existence of coincidence points and common fixed points for mappings satisfying certain contractive conditions, without appealing to continuity, in a cone metric space is established...

Weakly compatible maps | Common fixed point | Cone metric space | MATHEMATICS | common fixed point | MATHEMATICS, APPLIED | cone metric space | weakly compatible maps

Weakly compatible maps | Common fixed point | Cone metric space | MATHEMATICS | common fixed point | MATHEMATICS, APPLIED | cone metric space | weakly compatible maps

Journal Article

Fixed Point Theory and Applications, ISSN 1687-1820, 2009, Volume 2009

We prove some fixed point results for mappings satisfying various contractive conditions on Complete G-metric Spaces...

MATHEMATICS | Fixed point theory | Metric spaces | Research | Mappings (Mathematics) | Theorems

MATHEMATICS | Fixed point theory | Metric spaces | Research | Mappings (Mathematics) | Theorems

Journal Article

Journal of mathematical analysis and applications, ISSN 0022-247X, 2004, Volume 298, Issue 1, pp. 279 - 291

Viscosity approximation methods for nonexpansive mappings are studied. Consider a nonexpansive self-mapping T of a closed convex subset C of a Banach space X...

Viscosity approximation | Nonexpansive mapping | Fixed point | MATHEMATICS | MATHEMATICS, APPLIED | fixed point | BANACH-SPACES | nonexpansive mapping | CONVERGENCE | viscosity approximation | FIXED-POINTS

Viscosity approximation | Nonexpansive mapping | Fixed point | MATHEMATICS | MATHEMATICS, APPLIED | fixed point | BANACH-SPACES | nonexpansive mapping | CONVERGENCE | viscosity approximation | FIXED-POINTS

Journal Article

Fixed Point Theory and Applications, ISSN 1687-1820, 12/2007, Volume 2007, Issue 1, pp. 1 - 12

We introduce an iterative scheme for finding a common element of the set of solutions of an equilibrium problem and the set of common fixed points of infinite nonexpansive mappings in a Hilbert space...

Mathematical and Computational Biology | Analysis | Mathematics, general | Mathematics | Applications of Mathematics | Topology | Differential Geometry | MATHEMATICS | VISCOSITY APPROXIMATION METHODS | Fixed point theory | Convergence (Mathematics) | Research | Mappings (Mathematics)

Mathematical and Computational Biology | Analysis | Mathematics, general | Mathematics | Applications of Mathematics | Topology | Differential Geometry | MATHEMATICS | VISCOSITY APPROXIMATION METHODS | Fixed point theory | Convergence (Mathematics) | Research | Mappings (Mathematics)

Journal Article

Fixed Point Theory and Applications, ISSN 1687-1820, 12/2011, Volume 2011, Issue 1, pp. 1 - 18

The purpose of this paper is to investigate the problem of finding a common element of the set of fixed points of an asymptotically strict pseudocontractive mapping in the intermediate sense...

monotone mapping | Mathematical and Computational Biology | Mathematics | variational inequality | Topology | demiclosedness principle | strong convergence | asymptotically strict pseudocontractive mapping in the intermediate sense | modified Mann iteration process | fixed point | Analysis | extragradient-like approximation method | Mathematics, general | Applications of Mathematics | Differential Geometry | Asymptotically strict pseudocontractive mapping in the intermediate sense | Strong convergence | Extragradient-like approximation method | Monotone mapping | Variational inequality | Modified mann iteration process | Demiclosedness principle | Fixed point | STRONG-CONVERGENCE THEOREMS | MONOTONE MAPPINGS | ITERATIVE CONSTRUCTION | WEAK | MATHEMATICS | BANACH-SPACES | INTERMEDIATE SENSE | PSEUDO-CONTRACTIONS | STRICT PSEUDOCONTRACTIVE MAPPINGS | ASYMPTOTICALLY NONEXPANSIVE-MAPPINGS | OPERATORS | Usage | Inequalities (Mathematics) | Fixed point theory | Convergence (Mathematics) | Point mappings (Mathematics) | Iterative methods (Mathematics) | Tests, problems and exercises | Theorems | Fixed points (mathematics) | Approximation | Asymptotic properties | Mathematical analysis | Inequalities | Iterative algorithms | Mapping | Convergence

monotone mapping | Mathematical and Computational Biology | Mathematics | variational inequality | Topology | demiclosedness principle | strong convergence | asymptotically strict pseudocontractive mapping in the intermediate sense | modified Mann iteration process | fixed point | Analysis | extragradient-like approximation method | Mathematics, general | Applications of Mathematics | Differential Geometry | Asymptotically strict pseudocontractive mapping in the intermediate sense | Strong convergence | Extragradient-like approximation method | Monotone mapping | Variational inequality | Modified mann iteration process | Demiclosedness principle | Fixed point | STRONG-CONVERGENCE THEOREMS | MONOTONE MAPPINGS | ITERATIVE CONSTRUCTION | WEAK | MATHEMATICS | BANACH-SPACES | INTERMEDIATE SENSE | PSEUDO-CONTRACTIONS | STRICT PSEUDOCONTRACTIVE MAPPINGS | ASYMPTOTICALLY NONEXPANSIVE-MAPPINGS | OPERATORS | Usage | Inequalities (Mathematics) | Fixed point theory | Convergence (Mathematics) | Point mappings (Mathematics) | Iterative methods (Mathematics) | Tests, problems and exercises | Theorems | Fixed points (mathematics) | Approximation | Asymptotic properties | Mathematical analysis | Inequalities | Iterative algorithms | Mapping | Convergence

Journal Article

Fixed point theory and applications (Hindawi Publishing Corporation), ISSN 1687-1812, 2013, Volume 2013, Issue 1, pp. 1 - 18

We introduce the notion of ordered cyclic weakly ( ψ , φ , L , A , B ) -contractive mappings, and we establish some fixed and common fixed point results for this class of mappings in complete ordered b-metric spaces...

ordered b -metric space | altering distance function | Mathematical and Computational Biology | Analysis | almost contraction | common fixed point | Mathematics, general | Mathematics | Applications of Mathematics | Topology | cyclic contraction | Differential Geometry | Almost contraction | Altering distance function | Common fixed point | Cyclic contraction | Ordered b-metric space | MATHEMATICS | MATHEMATICS, APPLIED | THEOREMS | ordered b-metric space | SETS | EQUATIONS | CONTRACTIONS | Fixed point theory | Usage | Metric spaces | Contraction operators

ordered b -metric space | altering distance function | Mathematical and Computational Biology | Analysis | almost contraction | common fixed point | Mathematics, general | Mathematics | Applications of Mathematics | Topology | cyclic contraction | Differential Geometry | Almost contraction | Altering distance function | Common fixed point | Cyclic contraction | Ordered b-metric space | MATHEMATICS | MATHEMATICS, APPLIED | THEOREMS | ordered b-metric space | SETS | EQUATIONS | CONTRACTIONS | Fixed point theory | Usage | Metric spaces | Contraction operators

Journal Article

Journal of Inequalities and Applications, ISSN 1025-5834, 12/2015, Volume 2015, Issue 1, pp. 1 - 14

... pseudocontractive mapping. Strong convergence theorems are established in the framework of real Hilbert spaces.

fixed point | Analysis | equilibrium problem | Mathematics, general | nonexpansive mapping | Mathematics | Hilbert space | variational inequality | Applications of Mathematics | MATHEMATICS | ITERATIVE PROCESS | MATHEMATICS, APPLIED | NONEXPANSIVE-MAPPINGS | VISCOSITY APPROXIMATION METHODS | FIXED-POINT PROBLEMS | STRONG-CONVERGENCE | Theorems | Algorithms | Inequalities | Projection | Nonlinearity | Mapping | Regularization | Convergence

fixed point | Analysis | equilibrium problem | Mathematics, general | nonexpansive mapping | Mathematics | Hilbert space | variational inequality | Applications of Mathematics | MATHEMATICS | ITERATIVE PROCESS | MATHEMATICS, APPLIED | NONEXPANSIVE-MAPPINGS | VISCOSITY APPROXIMATION METHODS | FIXED-POINT PROBLEMS | STRONG-CONVERGENCE | Theorems | Algorithms | Inequalities | Projection | Nonlinearity | Mapping | Regularization | Convergence

Journal Article

Fixed Point Theory and Applications, ISSN 1687-1820, 12/2016, Volume 2016, Issue 1, pp. 1 - 18

As an extension of the class of ( α , ψ ) $(\alpha,\psi)$ -Meir-Keeler-Khan single-valued mappings defined by Redjel et al., a new type of ( α , ψ ) $(\alpha,\psi...

α -continuous mapping | α -admissible function | Mathematical and Computational Biology | Mathematics | Topology | 47H10 | Analysis | 47H09 | Mathematics, general | ( α , ψ ) $(\alpha,\psi)$ -Meir-Keeler-Khan multivalued mappings | 49M05 | approximate endpoint property | Applications of Mathematics | Differential Geometry | α-admissible function | (α,ψ)-Meir-Keeler-Khan multivalued mappings | α-continuous mapping | Theorems (Mathematics) | Fixed point theory | Usage | Mappings (Mathematics) | Texts | Theorems | Fixed points (mathematics) | Mapping

α -continuous mapping | α -admissible function | Mathematical and Computational Biology | Mathematics | Topology | 47H10 | Analysis | 47H09 | Mathematics, general | ( α , ψ ) $(\alpha,\psi)$ -Meir-Keeler-Khan multivalued mappings | 49M05 | approximate endpoint property | Applications of Mathematics | Differential Geometry | α-admissible function | (α,ψ)-Meir-Keeler-Khan multivalued mappings | α-continuous mapping | Theorems (Mathematics) | Fixed point theory | Usage | Mappings (Mathematics) | Texts | Theorems | Fixed points (mathematics) | Mapping

Journal Article

Inverse problems, ISSN 1361-6420, 2010, Volume 26, Issue 5, pp. 055007 - 055007

...Home Search Collections Journals About Contact us My IOPscience The split common fixed-point problem for demicontractive mappings This article...

PROJECTION | MATHEMATICS, APPLIED | FEASIBILITY PROBLEM | ALGORITHM | SETS | CONVERGENCE | PHYSICS, MATHEMATICAL | Networks | Operators | Fixed points (mathematics) | Algorithms | Inverse problems | Data compression | Tomography | Feasibility | Formalism | Mathematics | Optimization and Control

PROJECTION | MATHEMATICS, APPLIED | FEASIBILITY PROBLEM | ALGORITHM | SETS | CONVERGENCE | PHYSICS, MATHEMATICAL | Networks | Operators | Fixed points (mathematics) | Algorithms | Inverse problems | Data compression | Tomography | Feasibility | Formalism | Mathematics | Optimization and Control

Journal Article

Annals of mathematics, ISSN 0003-486X, 2016, Volume 184, Issue 1, pp. 263 - 313

.... These mappings are polynomial skew-products, and can be chosen to extend holomorphically of ℙ2(ℂ). We also find real examples with wandering domains...

Petals | Integers | Maps | Critical points | Implosions | Coordinate systems | Polynomials | Mathematics | Logarithms | Eggbeaters | JULIA SETS | MATHEMATICS | DIMENSIONAL DYNAMICAL-SYSTEMS | NONEXISTENCE | MAPS | INTERVALS | EXAMPLES | DOMAINS | TOPOLOGICAL ATTRACTORS | Complex Variables | Dynamical Systems

Petals | Integers | Maps | Critical points | Implosions | Coordinate systems | Polynomials | Mathematics | Logarithms | Eggbeaters | JULIA SETS | MATHEMATICS | DIMENSIONAL DYNAMICAL-SYSTEMS | NONEXISTENCE | MAPS | INTERVALS | EXAMPLES | DOMAINS | TOPOLOGICAL ATTRACTORS | Complex Variables | Dynamical Systems

Journal Article

Fixed Point Theory and Applications, ISSN 1687-1820, 12/2010, Volume 2010, Issue 1, pp. 1 - 7

We discuss the newly introduced concept of cone metric spaces. We also discuss the fixed point existence results of contractive mappings defined on such metric spaces...

Mathematical and Computational Biology | Analysis | Mathematics, general | Mathematics | Applications of Mathematics | Topology | Differential Geometry | MATHEMATICS | Fixed point theory | Usage | Metric spaces | Research | Mappings (Mathematics) | Studies | Mathematical models | Banach spaces | Theorems | Reproduction | Fixed points (mathematics) | Mapping | Metric space

Mathematical and Computational Biology | Analysis | Mathematics, general | Mathematics | Applications of Mathematics | Topology | Differential Geometry | MATHEMATICS | Fixed point theory | Usage | Metric spaces | Research | Mappings (Mathematics) | Studies | Mathematical models | Banach spaces | Theorems | Reproduction | Fixed points (mathematics) | Mapping | Metric space

Journal Article

Journal of Inequalities and Applications, ISSN 1025-5834, 12/2013, Volume 2013, Issue 1, pp. 1 - 11

...-admissible contraction mappings. Our results generalize and extend some well-known results on the topic in the literature...

contractive mappings | α -admissible mappings | fixed point | Analysis | Mathematics, general | Mathematics | Applications of Mathematics | α-admissible mappings | Contractive mappings | Fixed point | MATHEMATICS | MATHEMATICS, APPLIED | GENERALIZED CONTRACTIONS | alpha-admissible mappings | ORDERED METRIC-SPACES | PAIRS | Theorems | Fixed points (mathematics) | Mapping | Uniqueness | Inequalities

contractive mappings | α -admissible mappings | fixed point | Analysis | Mathematics, general | Mathematics | Applications of Mathematics | α-admissible mappings | Contractive mappings | Fixed point | MATHEMATICS | MATHEMATICS, APPLIED | GENERALIZED CONTRACTIONS | alpha-admissible mappings | ORDERED METRIC-SPACES | PAIRS | Theorems | Fixed points (mathematics) | Mapping | Uniqueness | Inequalities

Journal Article

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