Fixed Point Theory and Applications, ISSN 1687-1812, 12/2012, Volume 2012, Issue 1, pp. 1 - 22

In this paper, we prove some quadruple coincidence and quadruple common fixed point theorems for and satisfying contractions in partially ordered G-metric...

ordered sets | mixed g -monotone property | Mathematical and Computational Biology | Analysis | Mathematics, general | generalized metric spaces | Mathematics | Applications of Mathematics | Topology | Differential Geometry | quadruple fixed point | MATHEMATICS | MATHEMATICS, APPLIED | mixed g-monotone property | NONLINEAR CONTRACTIONS | Fixed point theory | Usage | Metric spaces | Contraction operators | Theorems | Fixed points (mathematics) | Mapping | Integrals

ordered sets | mixed g -monotone property | Mathematical and Computational Biology | Analysis | Mathematics, general | generalized metric spaces | Mathematics | Applications of Mathematics | Topology | Differential Geometry | quadruple fixed point | MATHEMATICS | MATHEMATICS, APPLIED | mixed g-monotone property | NONLINEAR CONTRACTIONS | Fixed point theory | Usage | Metric spaces | Contraction operators | Theorems | Fixed points (mathematics) | Mapping | Integrals

Journal Article

Fixed Point Theory and Applications, ISSN 1687-1820, 12/2013, Volume 2013, Issue 1, pp. 1 - 11

In this paper we present the notion of F-closed set (which is weaker than the concept of F-invariant set introduced in Samet and Vetro (Ann. Funct. Anal....

partially ordered set | Mathematical and Computational Biology | fixed point | Analysis | contractive mapping | mixed monotone property | Mathematics, general | F -invariant set | Mathematics | Applications of Mathematics | Topology | Differential Geometry | Partially ordered set | Mixed monotone property | Contractive mapping | F-invariant set | Fixed point | MATHEMATICS | PARTIALLY ORDERED SETS | MAPPINGS | CONE METRIC-SPACES | NONLINEAR CONTRACTIONS | COINCIDENCE | Fixed point theory | Usage | Metric spaces | Contraction operators

partially ordered set | Mathematical and Computational Biology | fixed point | Analysis | contractive mapping | mixed monotone property | Mathematics, general | F -invariant set | Mathematics | Applications of Mathematics | Topology | Differential Geometry | Partially ordered set | Mixed monotone property | Contractive mapping | F-invariant set | Fixed point | MATHEMATICS | PARTIALLY ORDERED SETS | MAPPINGS | CONE METRIC-SPACES | NONLINEAR CONTRACTIONS | COINCIDENCE | Fixed point theory | Usage | Metric spaces | Contraction operators

Journal Article

Journal of Fixed Point Theory and Applications, ISSN 1661-7738, 9/2019, Volume 21, Issue 3, pp. 1 - 7

In this paper, it is shown that every nonexpansive self-mapping on a nonempty closed convex bounded subset of a Hilbert module over a finite dimensional...

Secondary 47H09 | Mathematical Methods in Physics | nonexpansive self-mapping | 46L08 | Analysis | Mathematics, general | fixed point property | Mathematics | Hilbert C $$^$$ ∗ -module | reflexive Banach space | Primary 47H10 | MATHEMATICS | MATHEMATICS, APPLIED | Hilbert C-module | NONEXPANSIVE-MAPPINGS | BANACH-SPACES | NORMS | Algebra

Secondary 47H09 | Mathematical Methods in Physics | nonexpansive self-mapping | 46L08 | Analysis | Mathematics, general | fixed point property | Mathematics | Hilbert C $$^$$ ∗ -module | reflexive Banach space | Primary 47H10 | MATHEMATICS | MATHEMATICS, APPLIED | Hilbert C-module | NONEXPANSIVE-MAPPINGS | BANACH-SPACES | NORMS | Algebra

Journal Article

01/2018, 1st ed. 2018, ISBN 9783319934990, 411

This self-contained monograph presents an overview of fuzzy operator theory in mathematical analysis. Concepts, principles, methods, techniques, and...

Fuzzy logic | Fundamental theorems | Fuzzy proximal cyclic contractions | Triangular norms | Finite dimensional fuzzy Banach spaces | Open mapping theorem | Banach spaces | Fuzzy operator theory | Nonlinear approximation theory | Closed graph theorem | Normed spaces | Best proximity theory | Fixed point theorems in partially ordered fuzzy metric spaces | Fuzzy metric | Fuzzy normed spaces | Fuzzy topological structures | Set-valued mappings in fuzzy metric spaces | Fixed point theory | Approximation theory | Ordered non-Archimedean fuzzy metric spaces | Non-Archimedean fuzzy normed spaces

Fuzzy logic | Fundamental theorems | Fuzzy proximal cyclic contractions | Triangular norms | Finite dimensional fuzzy Banach spaces | Open mapping theorem | Banach spaces | Fuzzy operator theory | Nonlinear approximation theory | Closed graph theorem | Normed spaces | Best proximity theory | Fixed point theorems in partially ordered fuzzy metric spaces | Fuzzy metric | Fuzzy normed spaces | Fuzzy topological structures | Set-valued mappings in fuzzy metric spaces | Fixed point theory | Approximation theory | Ordered non-Archimedean fuzzy metric spaces | Non-Archimedean fuzzy normed spaces

eBook

Fixed Point Theory and Applications, ISSN 1687-1820, 12/2013, Volume 2013, Issue 1, pp. 1 - 15

In this paper, using the concept of common property, we prove some common fixed point theorems for three pairs of weakly compatible self-maps satisfying a...

generalized weakly G -contraction | Mathematical and Computational Biology | Analysis | generalized metric space | common fixed point | Mathematics, general | Mathematics | weakly compatible mappings | Applications of Mathematics | Topology | Differential Geometry | common property | Generalized metric space | Common (E.A) property | Generalized weakly G-contraction | Weakly compatible mappings | Common fixed point | common (E.A) property | MATHEMATICS | generalized weakly G-contraction | MAPS | THEOREMS | Fixed point theory | Usage | Metric spaces | Distributions, Theory of (Functional analysis) | Contraction operators

generalized weakly G -contraction | Mathematical and Computational Biology | Analysis | generalized metric space | common fixed point | Mathematics, general | Mathematics | weakly compatible mappings | Applications of Mathematics | Topology | Differential Geometry | common property | Generalized metric space | Common (E.A) property | Generalized weakly G-contraction | Weakly compatible mappings | Common fixed point | common (E.A) property | MATHEMATICS | generalized weakly G-contraction | MAPS | THEOREMS | Fixed point theory | Usage | Metric spaces | Distributions, Theory of (Functional analysis) | Contraction operators

Journal Article

Fixed Point Theory and Applications, ISSN 1687-1820, 12/2012, Volume 2012, Issue 1, pp. 1 - 19

In this manuscript, we prove some quadruple coincidence and common fixed point theorems for F : X-4 -> X and g : X -> X satisfying generalized contractions in...

metric space | Mathematical and Computational Biology | Analysis | Mathematics, general | Mathematics | quadruple coincidence point | quadruple common fixed point | Applications of Mathematics | Topology | Differential Geometry | ordered set | generalized contraction | Generalized contraction | Quadruple common fixed point | Metric space | Quadruple coincidence point | Ordered set | MATHEMATICS | PHI)-WEAKLY CONTRACTIVE CONDITION | PSI | SETS | MAPPINGS | NONLINEAR CONTRACTIONS | Fixed point theory | Metric spaces | Research

metric space | Mathematical and Computational Biology | Analysis | Mathematics, general | Mathematics | quadruple coincidence point | quadruple common fixed point | Applications of Mathematics | Topology | Differential Geometry | ordered set | generalized contraction | Generalized contraction | Quadruple common fixed point | Metric space | Quadruple coincidence point | Ordered set | MATHEMATICS | PHI)-WEAKLY CONTRACTIVE CONDITION | PSI | SETS | MAPPINGS | NONLINEAR CONTRACTIONS | Fixed point theory | Metric spaces | Research

Journal Article

Journal of Functional Analysis, ISSN 0022-1236, 05/2017, Volume 272, Issue 9, pp. 3825 - 3844

A Banach space X is said to have the dual Kadec–Klee property iff on the unit sphere of the dual space X⁎ the weak*-topology coincides with the norm-topology....

Fixed points | Convex functions | Banach spaces | Dual Kadec–Klee property | MATHEMATICS | Dual Kadec-Klee property

Fixed points | Convex functions | Banach spaces | Dual Kadec–Klee property | MATHEMATICS | Dual Kadec-Klee property

Journal Article

Ukrainian Mathematical Journal, ISSN 0041-5995, 4/2018, Volume 69, Issue 11, pp. 1784 - 1804

We consider a relatively new hybrid generalized F-contraction involving a pair of mappings and use this contraction to prove a common fixed-point theorem for a...

Geometry | Algebra | Analysis | Mathematics, general | Mathematics | Applications of Mathematics | Statistics, general | MATHEMATICS | MATHEMATICS, APPLIED | MAPPINGS | FUNCTIONAL-EQUATIONS | COINCIDENCE

Geometry | Algebra | Analysis | Mathematics, general | Mathematics | Applications of Mathematics | Statistics, general | MATHEMATICS | MATHEMATICS, APPLIED | MAPPINGS | FUNCTIONAL-EQUATIONS | COINCIDENCE

Journal Article

9.
Full Text
Coupled fixed point theorems for nonlinear contractions without mixed monotone property

Fixed Point Theory and Applications, ISSN 1687-1820, 12/2012, Volume 2012, Issue 1, pp. 1 - 16

In this paper, we show the existence of a coupled fixed point theorem of nonlinear contraction mappings in complete metric spaces without the mixed monotone...

partially ordered set | Mathematical and Computational Biology | Analysis | coupled fixed point | mixed monotone property | Mathematics, general | F -invariant set | transitive property | Mathematics | Applications of Mathematics | Topology | Differential Geometry | Partially ordered set | Coupled fixed point | Mixed monotone property | Transitive property | F-invariant set | Fixed point theory | Boundary value problems | Metric spaces | Research | Mappings (Mathematics) | Theorems | Fixed points (mathematics) | Metric space | Existence theorems | Integral equations | Uniqueness | Nonlinearity | Mapping

partially ordered set | Mathematical and Computational Biology | Analysis | coupled fixed point | mixed monotone property | Mathematics, general | F -invariant set | transitive property | Mathematics | Applications of Mathematics | Topology | Differential Geometry | Partially ordered set | Coupled fixed point | Mixed monotone property | Transitive property | F-invariant set | Fixed point theory | Boundary value problems | Metric spaces | Research | Mappings (Mathematics) | Theorems | Fixed points (mathematics) | Metric space | Existence theorems | Integral equations | Uniqueness | Nonlinearity | Mapping

Journal Article

Fixed Point Theory and Applications, ISSN 1687-1820, 12/2015, Volume 2015, Issue 1, pp. 1 - 9

In this work, we introduce the ( CLR ) $(\mathit{CLR})$ -property for the hybrid pairs of single-valued and multi-valued mappings and give some coincidence and...

( CLR ) $(\mathit{CLR})$ -property | Mathematical and Computational Biology | 46B20 | Mathematics | Topology | weakly compatible maps | 47H10 | fixed point | Analysis | 47E10 | 47H09 | Mathematics, general | Applications of Mathematics | Differential Geometry | hybrid contraction pair | CLR-property | MATHEMATICS | MATHEMATICS, APPLIED | (CLR)-property | MAPPINGS | COINCIDENCE | Fixed point theory | Usage | Mappings (Mathematics) | Texts | Theorems | Fixed points (mathematics) | Mapping

( CLR ) $(\mathit{CLR})$ -property | Mathematical and Computational Biology | 46B20 | Mathematics | Topology | weakly compatible maps | 47H10 | fixed point | Analysis | 47E10 | 47H09 | Mathematics, general | Applications of Mathematics | Differential Geometry | hybrid contraction pair | CLR-property | MATHEMATICS | MATHEMATICS, APPLIED | (CLR)-property | MAPPINGS | COINCIDENCE | Fixed point theory | Usage | Mappings (Mathematics) | Texts | Theorems | Fixed points (mathematics) | Mapping

Journal Article

Fixed Point Theory and Applications, ISSN 1687-1820, 12/2013, Volume 2013, Issue 1, pp. 1 - 20

In this paper, we prove the coupled coincidence point theorems for a -compatible mapping in partially ordered cone metric spaces over a solid cone without the...

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 | MATHEMATICS | PARTIALLY ORDERED SETS | w-compatible mappings | ASTERISK-COMPATIBLE MAPPINGS | CONE METRIC-SPACES | mixed g-monotone property | NONLINEAR CONTRACTIONS | 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 | MATHEMATICS | PARTIALLY ORDERED SETS | w-compatible mappings | ASTERISK-COMPATIBLE MAPPINGS | CONE METRIC-SPACES | mixed g-monotone property | NONLINEAR CONTRACTIONS | Fixed point theory | Usage | Metric spaces | Contraction operators | Theorems | Fixed points (mathematics) | Mapping | Metric space | Uniqueness

Journal Article

Abstract and Applied Analysis, ISSN 1085-3375, 2014, Volume 2014, pp. 1 - 9

We first introduce the concept of manageable functions and then prove some new existence theorems related to approximate fixed point property for manageable...

EXISTENCE | COINCIDENCE POINT | MATHEMATICS, APPLIED | MAPPINGS | THEOREMS | Mathematical problems | Mathematics | Physics | Power plants | Theorems | Fixed points (mathematics) | Maps | Approximation | Existence theorems

EXISTENCE | COINCIDENCE POINT | MATHEMATICS, APPLIED | MAPPINGS | THEOREMS | Mathematical problems | Mathematics | Physics | Power plants | Theorems | Fixed points (mathematics) | Maps | Approximation | Existence theorems

Journal Article

Geometriae Dedicata, ISSN 0046-5755, 10/2019, Volume 202, Issue 1, pp. 69 - 80

This paper focuses on the relation between the fixed point property for continuous mappings and a discrete lion and man game played in a strongly convex...

Geodesic space | Convex and Discrete Geometry | Compactness | Algebraic Geometry | Mathematics | Hyperbolic Geometry | Projective Geometry | Topology | Differential Geometry | Fixed point property | Lion and man game | MATHEMATICS | PURSUIT | GAMES

Geodesic space | Convex and Discrete Geometry | Compactness | Algebraic Geometry | Mathematics | Hyperbolic Geometry | Projective Geometry | Topology | Differential Geometry | Fixed point property | Lion and man game | MATHEMATICS | PURSUIT | GAMES

Journal Article

Journal of Intelligent Manufacturing, ISSN 0956-5515, 3/2017, Volume 28, Issue 3, pp. 605 - 613

In this paper, we propose a bang–bang control model for a saddle point problem using the optimistic value criterion. By using equation of optimality in...

Uncertain process | Business and Management | Control, Robotics, Mechatronics | Optimistic value | Production | Manufacturing, Machines, Tools | Bang–bang control | Differential game | Saddle point | SYSTEM | Bang-bang control | THEOREMS | STOCHASTIC DIFFERENTIAL-GAMES | EQUATIONS | MODEL | ENGINEERING, MANUFACTURING | COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE | Fixed point theory | Research | Control theory | Mathematical research | Studies | Mathematical analysis | Game theory | Optimization | Saddle points | Optimal control | Mathematical models | Criteria | Intelligent manufacturing systems

Uncertain process | Business and Management | Control, Robotics, Mechatronics | Optimistic value | Production | Manufacturing, Machines, Tools | Bang–bang control | Differential game | Saddle point | SYSTEM | Bang-bang control | THEOREMS | STOCHASTIC DIFFERENTIAL-GAMES | EQUATIONS | MODEL | ENGINEERING, MANUFACTURING | COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE | Fixed point theory | Research | Control theory | Mathematical research | Studies | Mathematical analysis | Game theory | Optimization | Saddle points | Optimal control | Mathematical models | Criteria | Intelligent manufacturing systems

Journal Article

Fixed Point Theory and Applications, ISSN 1687-1820, 12/2014, Volume 2014, Issue 1, pp. 1 - 18

In this work, we show the existence of a coupled coincidence point and a coupled common fixed point for a ϕ-contractive mapping in G-metric spaces without the...

Mathematical and Computational Biology | Mathematics | Topology | compatible | partially ordered set | Analysis | coupled fixed point | Mathematics, general | Applications of Mathematics | Differential Geometry | coupled coincidence point | mixed g -monotone | G -metric spaces | Mixed g-monotone | G-metric spaces | Partially ordered set | Coupled fixed point | Coupled coincidence point | Compatible

Mathematical and Computational Biology | Mathematics | Topology | compatible | partially ordered set | Analysis | coupled fixed point | Mathematics, general | Applications of Mathematics | Differential Geometry | coupled coincidence point | mixed g -monotone | G -metric spaces | Mixed g-monotone | G-metric spaces | Partially ordered set | Coupled fixed point | Coupled coincidence point | Compatible

Journal Article

Fixed Point Theory and Applications, ISSN 1687-1820, 12/2012, Volume 2012, Issue 1, pp. 1 - 22

In this article, we first introduce the concept of directional hidden contractions in metric spaces. The existences of generalized approximate fixed point...

generalized Berinde-Berinde's fixed point theorem | Mathematical and Computational Biology | τ 0 -metric | Mathematics | Topology | approximate fixed point property | Reich's condition | Analysis | generalized Mizoguchi-Takahashi's fixed point theorem | Mathematics, general | Applications of Mathematics | Differential Geometry | function( -function) | directional hidden contraction | τ -function | Directional hidden contraction | τ-function | metric | Generalized Mizoguchi-Takahashi's fixed point theorem | Approximate fixed point property | R-function(M T-function) | Generalized Berinde-Berinde's fixed point theorem | R-function(MT-function) | tau-metric | EKELANDS VARIATIONAL PRINCIPLE | MATHEMATICS | COINCIDENCE POINT | tau-function | THEOREMS | CONE METRIC-SPACES | Fixed point theory | Usage | Metric spaces | Contraction operators | Mappings (Mathematics) | Nonlinearity | Theorems | Fixed points (mathematics) | Maps | Approximation | Metric space

generalized Berinde-Berinde's fixed point theorem | Mathematical and Computational Biology | τ 0 -metric | Mathematics | Topology | approximate fixed point property | Reich's condition | Analysis | generalized Mizoguchi-Takahashi's fixed point theorem | Mathematics, general | Applications of Mathematics | Differential Geometry | function( -function) | directional hidden contraction | τ -function | Directional hidden contraction | τ-function | metric | Generalized Mizoguchi-Takahashi's fixed point theorem | Approximate fixed point property | R-function(M T-function) | Generalized Berinde-Berinde's fixed point theorem | R-function(MT-function) | tau-metric | EKELANDS VARIATIONAL PRINCIPLE | MATHEMATICS | COINCIDENCE POINT | tau-function | THEOREMS | CONE METRIC-SPACES | Fixed point theory | Usage | Metric spaces | Contraction operators | Mappings (Mathematics) | Nonlinearity | Theorems | Fixed points (mathematics) | Maps | Approximation | Metric space

Journal Article

Computers and Mathematics with Applications, ISSN 0898-1221, 09/2012, Volume 64, Issue 6, pp. 1944 - 1956

In this paper, we introduce some new types of pairs of mappings (f,g) on G-metric spaces called G-weakly commuting of type Gf and G–R-weakly commuting of type...

[formula omitted]-metric space | (E.A) property | Weakly commuting mappings | Metric space | Common fixed points | G-metric space | MATHEMATICS, APPLIED | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | COMPATIBLE MAPS | THEOREMS | NONCOMMUTING MAPPINGS

[formula omitted]-metric space | (E.A) property | Weakly commuting mappings | Metric space | Common fixed points | G-metric space | MATHEMATICS, APPLIED | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | COMPATIBLE MAPS | THEOREMS | NONCOMMUTING MAPPINGS

Journal Article

Proceedings of the American Mathematical Society, ISSN 0002-9939, 12/2018, Volume 146, Issue 12, pp. 5311 - 5322

Assume that X is a Banach space of measurable functions for which Komlos' Theorem holds. We associate to any closed convex bounded subset C of X a coefficient...

Affine Lipschitzian mappings | Convergence in measure | μ-a.e. convergence | Equivalent norms | Measurable function spaces | Fixed point | MATHEMATICS | FUNCTION-SPACES | MATHEMATICS, APPLIED | convergence in measure | fixed point | mu-a.e. convergence | BANACH-SPACES | SUBSETS | equivalent norms | affine Lipschitzian mappings

Affine Lipschitzian mappings | Convergence in measure | μ-a.e. convergence | Equivalent norms | Measurable function spaces | Fixed point | MATHEMATICS | FUNCTION-SPACES | MATHEMATICS, APPLIED | convergence in measure | fixed point | mu-a.e. convergence | BANACH-SPACES | SUBSETS | equivalent norms | affine Lipschitzian mappings

Journal Article

2015, 1st ed. 2015, ISBN 9783319240800, xvii, 385 pages

Written by a team of leading experts in the field, this volume presents a self-contained account of the theory, techniques and results in metric type spaces...

Fixed point theory | Mathematics | Functional analysis | Functional Analysis | Numerical Analysis | Real Functions | Metric spaces

Fixed point theory | Mathematics | Functional analysis | Functional Analysis | Numerical Analysis | Real Functions | Metric spaces

Book