2007, Iwanami series in modern mathematics, ISBN 9780821820971, Volume 235, xvii, 205

Book

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 )...

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

2013, ISBN 9814458910, xi, 234 pages

Book

Computers and Mathematics with Applications, ISSN 0898-1221, 2008, Volume 56, Issue 10, pp. 2572 - 2579

By using the concept of -convergence introduced by Lim [T.C. Lim, Remarks on some fixed point theorems, Proc. Amer. Math. Soc. 60 (1976) 179–182], we are able...

Weak convergence | [formula omitted]-convergence | Fixed points | Nonexpansive mappings | CAT spaces | convergence | Analogs | Theorems | Approximation | Mapping | Mathematical models | Banach space | Iterative methods | Convergence

Weak convergence | [formula omitted]-convergence | Fixed points | Nonexpansive mappings | CAT spaces | convergence | Analogs | Theorems | Approximation | Mapping | Mathematical models | Banach space | Iterative methods | Convergence

Journal Article

1974, Cambridge tracts in mathematics, ISBN 9780521202893, Volume 66, viii, 93

Book

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

In this paper, we introduce a new concept of -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

Abstract and Applied Analysis, ISSN 1085-3375, 2013, Volume 2013, pp. 1 - 12

We study the existence and uniqueness of coincidence point for nonlinear mappings of any number of arguments under a weak (psi, phi)-contractivity condition in...

MATHEMATICS | MATHEMATICS, APPLIED | MAPPINGS | NONLINEAR CONTRACTIONS | OPERATORS | Fixed point theory | Metric spaces | Research | Mathematical research | Mappings (Mathematics) | Studies | Algorithms | Nonlinearity | Theorems | Fixed points (mathematics) | Mapping | Metric space | Uniqueness

MATHEMATICS | MATHEMATICS, APPLIED | MAPPINGS | NONLINEAR CONTRACTIONS | OPERATORS | Fixed point theory | Metric spaces | Research | Mathematical research | Mappings (Mathematics) | Studies | Algorithms | Nonlinearity | Theorems | Fixed points (mathematics) | Mapping | Metric space | Uniqueness

Journal Article

Abstract and Applied Analysis, ISSN 1085-3375, 2014, Volume 2014, pp. 1 - 12

We extend the notion of (alpha psi, beta phi)-contractive mapping, a very recent concept by Berzig and Karapinar. This allows us to consider contractive...

MATHEMATICS, APPLIED | PARTIALLY ORDERED SETS | Fixed point theory | Metric spaces | Research | Mathematical research | Mappings (Mathematics) | Applied mathematics | Mathematics | Algorithms

MATHEMATICS, APPLIED | PARTIALLY ORDERED SETS | Fixed point theory | Metric spaces | Research | Mathematical research | Mappings (Mathematics) | Applied mathematics | Mathematics | Algorithms

Journal Article

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, ISSN 0362-546X, 03/2012, Volume 75, Issue 4, pp. 2154 - 2165

In this paper, we introduce a new concept of alpha-psi-contractive type mappings and establish fixed point theorems for such mappings in complete metric...

MATHEMATICS | MATHEMATICS, APPLIED | GENERALIZED CONTRACTIONS | Contractive mapping | SETS | Coupled fixed point | COMPATIBLE MAPPINGS | NONLINEAR CONTRACTIONS | ORDINARY DIFFERENTIAL-EQUATIONS | Fixed point | ORDERED METRIC-SPACES

MATHEMATICS | MATHEMATICS, APPLIED | GENERALIZED CONTRACTIONS | Contractive mapping | SETS | Coupled fixed point | COMPATIBLE MAPPINGS | NONLINEAR CONTRACTIONS | ORDINARY DIFFERENTIAL-EQUATIONS | Fixed point | ORDERED METRIC-SPACES

Journal Article

Annals of Functional Analysis, ISSN 2008-8752, 2012, Volume 3, Issue 1, pp. 151 - 164

The fixed point method, which is the second most popular technique of proving the Hyers-Ulam stability of functional equations, was used for the first time in...

Ultrametric | Fixed point theorem | Hyers-Ulam stability | Functional equation | ultrametric | MATHEMATICS | MATHEMATICS, APPLIED | functional equation | fixed point theorem

Ultrametric | Fixed point theorem | Hyers-Ulam stability | Functional equation | ultrametric | MATHEMATICS | MATHEMATICS, APPLIED | functional equation | fixed point theorem

Journal Article

Taiwanese Journal of Mathematics, ISSN 1027-5487, 12/2014, Volume 18, Issue 6, pp. 1879 - 1895

Recently, Wardowski [Fixed Point Theory Appl. 2012:94, 2012] introduced and studied a new contraction called F-contraction to prove a fixed point result as a...

Mathematical functions | Diagonal lemma | Continuous functions | α-GF-contraction | Orbitally continuous function | α-η-Continous function | Fixed point | MATHEMATICS | alpha-GF-contraction | MAPPINGS | alpha-eta-Continous function

Mathematical functions | Diagonal lemma | Continuous functions | α-GF-contraction | Orbitally continuous function | α-η-Continous function | Fixed point | MATHEMATICS | alpha-GF-contraction | MAPPINGS | alpha-eta-Continous function

Journal Article

Journal of Optimization Theory and Applications, ISSN 0022-3239, 05/2018, Volume 177, Issue 2, pp. 399 - 412

Since 1909 when Brouwer proved the first fixed-point theorem named after him, the fixed-point results in various settings play an important role in the...

Antipodal theorems | Star-shaped subsets | Trianggulations techniques | Set-valued mappings | Mathematics | Theory of Computation | Optimization | 49J53 | Calculus of Variations and Optimal Control; Optimization | Operations Research/Decision Theory | 90C33 | 58C30 | Triangulation techniques | Applications of Mathematics | Engineering, general | MATHEMATICS, APPLIED | FIXED-POINT ALGORITHMS | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | Usage | Algorithms | Game theory | Mathematical optimization | Operators (mathematics) | Theorems | Fixed points (mathematics) | Triangulation | Mathematical analysis | Differential equations

Antipodal theorems | Star-shaped subsets | Trianggulations techniques | Set-valued mappings | Mathematics | Theory of Computation | Optimization | 49J53 | Calculus of Variations and Optimal Control; Optimization | Operations Research/Decision Theory | 90C33 | 58C30 | Triangulation techniques | Applications of Mathematics | Engineering, general | MATHEMATICS, APPLIED | FIXED-POINT ALGORITHMS | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | Usage | Algorithms | Game theory | Mathematical optimization | Operators (mathematics) | Theorems | Fixed points (mathematics) | Triangulation | Mathematical analysis | Differential equations

Journal Article

2001, Series in mathematical analysis and applications, ISBN 9056992953, Volume 3, viii, 206

Book

14.
Full Text
Fixed point theorems and convergence theorems for some generalized nonexpansive mappings

Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 2008, Volume 340, Issue 2, pp. 1088 - 1095

We introduce some condition on mappings. The condition is weaker than nonexpansiveness and stronger than quasinonexpansiveness. We present fixed point theorems...

Convergence theorem | Nonexpansive mapping | Fixed point | MATHEMATICS | MATHEMATICS, APPLIED | fixed point | nonexpansive mapping | convergence theorem | SUCCESSIVE APPROXIMATIONS | BANACH-SPACE

Convergence theorem | Nonexpansive mapping | Fixed point | MATHEMATICS | MATHEMATICS, APPLIED | fixed point | nonexpansive mapping | convergence theorem | SUCCESSIVE APPROXIMATIONS | BANACH-SPACE

Journal Article

1970, 35 leaves

Book

Nonlinear Analysis, ISSN 0362-546X, 2011, Volume 74, Issue 17, pp. 6050 - 6059

Let be a convex and compact subset of a space . In this paper, we consider the following iterative scheme for a one-parameter nonexpansive semigroup on : where...

[formula omitted] space | Nonexpansive semigroup | Nonexpansive mapping | Fixed point | CAT space | MATHEMATICS | MATHEMATICS, APPLIED | FIXED-POINT THEOREMS | MAPPINGS

[formula omitted] space | Nonexpansive semigroup | Nonexpansive mapping | Fixed point | CAT space | MATHEMATICS | MATHEMATICS, APPLIED | FIXED-POINT THEOREMS | MAPPINGS

Journal Article

2019, UNITEXT, ISBN 9783030196691, Volume 116

eBook

Mathematical and Computer Modelling, ISSN 0895-7177, 2010, Volume 52, Issue 5, pp. 797 - 801

In this paper, we consider the concept of a -distance on a complete partially ordered -metric space and prove some fixed point theorems.

[formula omitted]-metric spaces | [formula omitted]-distance | Fixed point theorem | Ω-distance | G-metric spaces | MATHEMATICS, APPLIED | Omega-distance | APPROXIMATION | SETS | Computer science

[formula omitted]-metric spaces | [formula omitted]-distance | Fixed point theorem | Ω-distance | G-metric spaces | MATHEMATICS, APPLIED | Omega-distance | APPROXIMATION | SETS | Computer science

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

Fixed Point Theory and Applications, ISSN 1687-1820, 2013, Volume 2013, Issue 1, pp. 158 - 158

In this paper we present some (unidimensional and) multidimensional fixed point results under -contractivity conditions in the framework of -metric spaces,...

MATHEMATICS | COINCIDENCE POINT | MAPPINGS | Fixed point theory | Usage | Metric spaces | Analysis | Contraction operators

MATHEMATICS | COINCIDENCE POINT | MAPPINGS | Fixed point theory | Usage | Metric spaces | Analysis | Contraction operators

Journal Article

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