2013, ISBN 9814458910, xi, 234 pages

Book

2018, 1, Monographs and research notes in mathematics, ISBN 1498761593, Volume 1, xv, 311 pages

This research monograph represents an outcome of the cross-fertilization between nonlinear functional analysis and mathematical modelling, and demonstrates its...

Fixed point theory | Variational inequalities (Mathematics) | Hemivariational inequalities | Nonlinear operators | Mathematics & Statistics for Engineers | Mathematical Physics | Differential Equations | Mathematics

Fixed point theory | Variational inequalities (Mathematics) | Hemivariational inequalities | Nonlinear operators | Mathematics & Statistics for Engineers | Mathematical Physics | Differential Equations | Mathematics

Book

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, ISSN 1687-1820, 12/2012, 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 | 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

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

We generalize the results obtained in Cho et al. (Fixed Point Theory Appl. 2013:329, 2013) and give other conditions to prove the existence and uniqueness of a...

Mathematical and Computational Biology | Analysis | Mathematics, general | Mathematics | Applications of Mathematics | Topology | Differential Geometry | MATHEMATICS | MATHEMATICS, APPLIED | MAPPINGS | Fixed point theory | Usage | Metric spaces | Mappings (Mathematics) | Theorems | Fixed points (mathematics) | Maps | Metric space | Uniqueness

Mathematical and Computational Biology | Analysis | Mathematics, general | Mathematics | Applications of Mathematics | Topology | Differential Geometry | MATHEMATICS | MATHEMATICS, APPLIED | MAPPINGS | Fixed point theory | Usage | Metric spaces | Mappings (Mathematics) | Theorems | Fixed points (mathematics) | Maps | Metric space | Uniqueness

Journal Article

Fixed Point Theory and Applications, ISSN 1687-1820, 12/2014, 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 | MATHEMATICS | 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 | MATHEMATICS | Fixed point theory | Transformations (Mathematics) | Usage | Metric spaces | Theorems | Fixed points (mathematics) | Mapping | Metric space

Journal Article

Fixed Point Theory and Applications, ISSN 1687-1820, 12/2015, Volume 2015, Issue 1, pp. 1 - 19

The split common fixed point problem for two quasi-pseudo-contractive operators is studied. Some properties for quasi-pseudo-contractive operators are...

Mathematical and Computational Biology | Mathematics | Topology | directed operator | quasi-pseudo-contractive operator | 90C25 | Analysis | demicontractive operator | 47H09 | Mathematics, general | split common fixed point problem | Applications of Mathematics | Differential Geometry | 47J25 | quasi-nonexpansive operator | 65J15 | HILBERT-SPACES | MATHEMATICS, APPLIED | METRIC-SPACES | ITERATIVE ALGORITHMS | WEAK | MATHEMATICS | BANACH-SPACES | MAPPINGS | STRONG-CONVERGENCE | Fixed point theory | Usage | Convergence (Mathematics) | Algorithms | Operator theory | Operators | Construction | Theorems | Fixed points (mathematics) | Iterative algorithms | Convergence

Mathematical and Computational Biology | Mathematics | Topology | directed operator | quasi-pseudo-contractive operator | 90C25 | Analysis | demicontractive operator | 47H09 | Mathematics, general | split common fixed point problem | Applications of Mathematics | Differential Geometry | 47J25 | quasi-nonexpansive operator | 65J15 | HILBERT-SPACES | MATHEMATICS, APPLIED | METRIC-SPACES | ITERATIVE ALGORITHMS | WEAK | MATHEMATICS | BANACH-SPACES | MAPPINGS | STRONG-CONVERGENCE | Fixed point theory | Usage | Convergence (Mathematics) | Algorithms | Operator theory | Operators | Construction | Theorems | Fixed points (mathematics) | Iterative algorithms | Convergence

Journal Article

2005, ISBN 9781402032219, ix, 971

Is the first in the world literature presenting all new trends in topological fixed point theory.

Fixed point theory | Handbooks, manuals, etc | Topology

Fixed point theory | Handbooks, manuals, etc | Topology

Book

Fixed Point Theory and Applications, ISSN 1687-1820, 12/2013, Volume 2013, Issue 1, pp. 1 - 33

In this paper, we show that, unexpectedly, most of the coupled fixed point theorems in the context of (ordered) G-metric spaces are in fact immediate...

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 | MATHEMATICS | MIXED MONOTONE MAPPINGS | MATHEMATICS, APPLIED | PARTIALLY ORDERED SETS | EQUATIONS | NONLINEAR CONTRACTIONS | COINCIDENCE | Fixed point theory | Usage | Metric spaces | Contraction operators | Theorems | Fixed points (mathematics)

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 | MATHEMATICS | MIXED MONOTONE MAPPINGS | MATHEMATICS, APPLIED | PARTIALLY ORDERED SETS | EQUATIONS | NONLINEAR CONTRACTIONS | COINCIDENCE | Fixed point theory | Usage | Metric spaces | Contraction operators | Theorems | Fixed points (mathematics)

Journal Article

2018, ISBN 9811329125, 173

This book provides a detailed study of recent results in metric fixed point theory and presents several applications in nonlinear analysis, including matrix...

Mathematics | Fixed point theory | Abstract Harmonic Analysis | Difference and Functional Equations | Operator Theory | Integral Equations | Functional Analysis

Mathematics | Fixed point theory | Abstract Harmonic Analysis | Difference and Functional Equations | Operator Theory | Integral Equations | Functional Analysis

eBook

Fixed Point Theory and Applications, ISSN 1687-1812, 12/2009, Volume 2008, Issue 1, pp. 1 - 11

A concept of -monotone mapping is introduced, and some fixed and common fixed point theorems for -non-decreasing generalized nonlinear contractions in...

Mathematical and Computational Biology | Analysis | Mathematics, general | Mathematics | Applications of Mathematics | Topology | Differential Geometry | MATHEMATICS | MATHEMATICS, APPLIED | FIXED-POINT THEOREMS | ORDINARY DIFFERENTIAL-EQUATIONS | SETS | Colleges & universities

Mathematical and Computational Biology | Analysis | Mathematics, general | Mathematics | Applications of Mathematics | Topology | Differential Geometry | MATHEMATICS | MATHEMATICS, APPLIED | FIXED-POINT THEOREMS | ORDINARY DIFFERENTIAL-EQUATIONS | SETS | Colleges & universities

Journal Article

Fixed Point Theory and Applications, ISSN 1687-1820, 12/2009, Volume 2010, Issue 1, pp. 1 - 6

We extend the celebrated result of W. A. Kirk that a metric space is complete if and only if every Caristi self-mapping for has a fixed point, to partial...

Mathematical and Computational Biology | Analysis | Mathematics, general | Mathematics | Applications of Mathematics | Topology | Differential Geometry | MATHEMATICS | MATHEMATICS, APPLIED | MAPPINGS | FIXED-POINT THEOREMS | DOMAINS | PARTIAL METRIZABILITY | Fixed point theory | Metric spaces | Research | Mappings (Mathematics) | Mathematical models

Mathematical and Computational Biology | Analysis | Mathematics, general | Mathematics | Applications of Mathematics | Topology | Differential Geometry | MATHEMATICS | MATHEMATICS, APPLIED | MAPPINGS | FIXED-POINT THEOREMS | DOMAINS | PARTIAL METRIZABILITY | Fixed point theory | Metric spaces | Research | Mappings (Mathematics) | Mathematical models

Journal Article

IEEE Transactions on Information Theory, ISSN 0018-9448, 05/2016, Volume 62, Issue 5, pp. 2504 - 2519

Linear network coding transmits data through networks by letting the intermediate nodes combine the messages they receive and forward the combinations toward...

Context | Network coding | Routing | Entropy | Channel coding | Automata | Boolean functions | Network theory (graphs) | MAXIMUM NUMBER | BEHAVIOR | COMPUTER SCIENCE, INFORMATION SYSTEMS | SYSTEMS | ENGINEERING, ELECTRICAL & ELECTRONIC | Network architecture | Error-correcting codes | Fixed point theory | Usage | Research | Dynamical Systems | Mathematics | Information Theory | Computer Science | Discrete Mathematics

Context | Network coding | Routing | Entropy | Channel coding | Automata | Boolean functions | Network theory (graphs) | MAXIMUM NUMBER | BEHAVIOR | COMPUTER SCIENCE, INFORMATION SYSTEMS | SYSTEMS | ENGINEERING, ELECTRICAL & ELECTRONIC | Network architecture | Error-correcting codes | Fixed point theory | Usage | Research | Dynamical Systems | Mathematics | Information Theory | Computer Science | Discrete Mathematics

Journal Article

Archive for Rational Mechanics and Analysis, ISSN 0003-9527, 3/2017, Volume 223, Issue 3, pp. 1307 - 1335

We consider a single disk moving under the influence of a two dimensional viscous fluid and we study the asymptotic as the size of the solid tends to zero. If...

Physics, general | Fluid- and Aerodynamics | Theoretical, Mathematical and Computational Physics | Complex Systems | Physics | Classical Mechanics | LIMIT BEHAVIOR | MATHEMATICS, APPLIED | DOMAIN | MECHANICS | NAVIER-STOKES EQUATIONS | 2-DIMENSIONAL MOTION | THIN OBSTACLE | BODIES | BOUNDARY | WEAK SOLUTIONS | SIEVE | FLOW | Mathematical analysis | Decay | Rigid-body dynamics | Texts | Estimates | Optimization | Navier-Stokes equations | Convergence | Mathematics | Information Retrieval | Analysis of PDEs | General Mathematics | Computer Science

Physics, general | Fluid- and Aerodynamics | Theoretical, Mathematical and Computational Physics | Complex Systems | Physics | Classical Mechanics | LIMIT BEHAVIOR | MATHEMATICS, APPLIED | DOMAIN | MECHANICS | NAVIER-STOKES EQUATIONS | 2-DIMENSIONAL MOTION | THIN OBSTACLE | BODIES | BOUNDARY | WEAK SOLUTIONS | SIEVE | FLOW | Mathematical analysis | Decay | Rigid-body dynamics | Texts | Estimates | Optimization | Navier-Stokes equations | Convergence | Mathematics | Information Retrieval | Analysis of PDEs | General Mathematics | Computer Science

Journal Article

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

Suzuki’s fixed point results from (Suzuki, Proc. Am. Math. Soc. 136:1861-1869, 2008) and (Suzuki, Nonlinear Anal. 71:5313-5317, 2009) are extended to the case...

metric type space | cone metric space | normal cone | Mathematical and Computational Biology | fixed point | Analysis | Mathematics, general | Mathematics | Applications of Mathematics | Topology | Differential Geometry | Normal cone | Cone metric space | Metric type space | Fixed point | MATHEMATICS | MATHEMATICS, APPLIED | THEOREMS | MAPPINGS | CONTRACTIONS | Fixed point theory | Usage | Metric spaces | Mappings (Mathematics) | Nonlinearity

metric type space | cone metric space | normal cone | Mathematical and Computational Biology | fixed point | Analysis | Mathematics, general | Mathematics | Applications of Mathematics | Topology | Differential Geometry | Normal cone | Cone metric space | Metric type space | Fixed point | MATHEMATICS | MATHEMATICS, APPLIED | THEOREMS | MAPPINGS | CONTRACTIONS | Fixed point theory | Usage | Metric spaces | Mappings (Mathematics) | Nonlinearity

Journal Article

2007, 2nd rev. and enlarged ed, Lecture notes in mathematics, ISBN 9783540722335, Volume 1912, xv, 322

Book

Fixed Point Theory and Applications, ISSN 1687-1820, 12/2012, Volume 2012, Issue 1, pp. 1 - 8

In this article, we give a fixed point theorem for set-valued quasi-contraction maps in b-metric spaces. This theorem extends, unifies and generalizes several...

Mathematical and Computational Biology | Analysis | Mathematics, general | Mathematics | Applications of Mathematics | Topology | Differential Geometry | MATHEMATICS | Fixed point theory | Convergence (Mathematics) | Metric spaces | Research | Theorems | Fixed points (mathematics) | Maps

Mathematical and Computational Biology | Analysis | Mathematics, general | Mathematics | Applications of Mathematics | Topology | Differential Geometry | MATHEMATICS | Fixed point theory | Convergence (Mathematics) | Metric spaces | Research | Theorems | Fixed points (mathematics) | Maps

Journal Article

Journal of Inequalities and Applications, ISSN 1025-5834, 12/2016, Volume 2016, Issue 1, pp. 1 - 9

Zero point problems of two accretive operators and fixed point problems of a nonexpansive mappings are investigated based on a Mann-like iterative algorithm....

accretive operator | fixed point | Analysis | 90C33 | 47H09 | Mathematics, general | nonexpansive mapping | Mathematics | zero point | Applications of Mathematics | 47H06 | resolvent | MATHEMATICS, APPLIED | INCLUSIONS | SUM | ITERATIVE ALGORITHMS | MATHEMATICS | MONOTONE | ZERO POINTS | FIXED-POINT PROBLEMS | Operators | Theorems | Algorithms | Inequalities | Iterative algorithms | Mapping | Banach space | Convergence

accretive operator | fixed point | Analysis | 90C33 | 47H09 | Mathematics, general | nonexpansive mapping | Mathematics | zero point | Applications of Mathematics | 47H06 | resolvent | MATHEMATICS, APPLIED | INCLUSIONS | SUM | ITERATIVE ALGORITHMS | MATHEMATICS | MONOTONE | ZERO POINTS | FIXED-POINT PROBLEMS | Operators | Theorems | Algorithms | Inequalities | Iterative algorithms | Mapping | Banach space | Convergence

Journal Article

Fixed Point Theory and Applications, 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

Fixed Point Theory and Applications, ISSN 1687-1820, 12/2012, Volume 2012, Issue 1, pp. 1 - 6

Recently Samet, Vetro and Vetro introduced the notion of α-ψ-contractive type mappings and established some fixed point theorems in complete metric spaces. In...

Mathematical and Computational Biology | fixed point | Analysis | contractive multifunction | Mathematics, general | Mathematics | Applications of Mathematics | Topology | partial metric | Differential Geometry | Contractive multifunction | Partial metric | Fixed point

Mathematical and Computational Biology | fixed point | Analysis | contractive multifunction | Mathematics, general | Mathematics | Applications of Mathematics | Topology | partial metric | Differential Geometry | Contractive multifunction | Partial metric | Fixed point

Journal Article

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