Journal of the Australian Mathematical Society, ISSN 1446-7887, 12/2018, Volume 105, Issue 3, pp. 417 - 428

We prove the existence of common fixed points for monotone contractive and monotone nonexpansive semigroups of nonlinear mappings acting in Banach spaces...

dynamical systems | fixed point | monotone nonexpansive semigroup | common fixed point | semigroup of mappings | contraction | nonexpansive mapping | monotone nonexpansive mapping | differential equations | PARTIALLY ORDERED SETS | MATHEMATICS | nonexpansive mipping | MAPPINGS | MATRIX EQUATIONS

dynamical systems | fixed point | monotone nonexpansive semigroup | common fixed point | semigroup of mappings | contraction | nonexpansive mapping | monotone nonexpansive mapping | differential equations | PARTIALLY ORDERED SETS | MATHEMATICS | nonexpansive mipping | MAPPINGS | MATRIX EQUATIONS

Journal Article

Fixed Point Theory and Applications, ISSN 1687-1820, 12/2009, Volume 2009, Issue 1, pp. 1 - 9

In this manuscript, a class of self-mappings on cone Banach spaces which have at least one fixed point is considered. More precisely, for a closed and convex...

Mathematical and Computational Biology | Analysis | Mathematics, general | Mathematics | Applications of Mathematics | Topology | Differential Geometry | MATHEMATICS | METRIC-SPACES | PARTIALLY ORDERED SETS | Fuzzy sets | Fixed point theory | Set theory | Research | Banach spaces | Mappings (Mathematics) | Studies | Mathematical models

Mathematical and Computational Biology | Analysis | Mathematics, general | Mathematics | Applications of Mathematics | Topology | Differential Geometry | MATHEMATICS | METRIC-SPACES | PARTIALLY ORDERED SETS | Fuzzy sets | Fixed point theory | Set theory | Research | Banach spaces | Mappings (Mathematics) | Studies | Mathematical models

Journal Article

Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 09/2015, Volume 429, Issue 2, pp. 833 - 848

The paper establishes a link between the stability of the semigroup e(−Γ+M)t and the spectral radius of Γ−1M in ordered Banach spaces. On the one hand our...

Ordered Banach space | Exponential stability | Spectral radius | Positive semigroup | MATHEMATICS | EIGENVALUES | MATHEMATICS, APPLIED | INFINITE MATRICES | SYSTEMS | ASYMPTOTICS | CONE METRIC-SPACES | JACOBI MATRICES

Ordered Banach space | Exponential stability | Spectral radius | Positive semigroup | MATHEMATICS | EIGENVALUES | MATHEMATICS, APPLIED | INFINITE MATRICES | SYSTEMS | ASYMPTOTICS | CONE METRIC-SPACES | JACOBI MATRICES

Journal Article

Systems & Control Letters, ISSN 0167-6911, 01/2015, Volume 75, pp. 14 - 19

We provide sufficient criteria for the stability of positive linear switched systems on ordered Banach spaces. The switched systems can be generated by...

Ordered Banach space | Linear positive switched systems | Stability | SEMIGROUPS | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | LYAPUNOV FUNCTIONS | SETS | COMPUTATION | AUTOMATION & CONTROL SYSTEMS

Ordered Banach space | Linear positive switched systems | Stability | SEMIGROUPS | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | LYAPUNOV FUNCTIONS | SETS | COMPUTATION | AUTOMATION & CONTROL SYSTEMS

Journal Article

Indagationes Mathematicae, ISSN 0019-3577, 04/2018, Volume 29, Issue 2, pp. 535 - 547

We generalize results concerning C0-semigroups on Banach lattices to a setting of ordered Banach spaces. We prove that the generator of a disjointness...

Disjointness preserving operator | [formula omitted]-semigroup | Ordered Banach space | Pre-Riesz space | Local operator | Regular norm | semigroup

Disjointness preserving operator | [formula omitted]-semigroup | Ordered Banach space | Pre-Riesz space | Local operator | Regular norm | semigroup

Journal Article

2016, 1st ed. 2016, CMS Books in Mathematics, ISBN 9783319323473, 286

This book gives a coherent account of the theory of Banach spaces and Banach lattices, using the spaces C_0(K) of continuous functions on a locally compact...

Mathematics | K-theory | Order, Lattices, Ordered Algebraic Structures | Algebraic Topology | K-Theory | Banach lattices | Banach spaces

Mathematics | K-theory | Order, Lattices, Ordered Algebraic Structures | Algebraic Topology | K-Theory | Banach lattices | Banach spaces

eBook

FIXED POINT THEORY AND APPLICATIONS, ISSN 1687-1812, 05/2014, Volume 2014, Issue 1, pp. 122 - 122

In this paper, a new class of general set-valued parametric ordered variational inclusions, theta is an element of M(x, g(x, rho), rho), with (alpha,...

MATHEMATICS | (alpha, lambda)-NODSM set-valued mapping | sensitivity analysis | general set-valued parametric ordered variational inclusion | ITERATIVE ALGORITHMS | ordered Banach spaces | comparison solution | RESOLVENT OPERATOR TECHNIQUE | Fixed point theory | Usage | Distributions, Theory of (Functional analysis) | Banach spaces | Analysis | Contraction operators

MATHEMATICS | (alpha, lambda)-NODSM set-valued mapping | sensitivity analysis | general set-valued parametric ordered variational inclusion | ITERATIVE ALGORITHMS | ordered Banach spaces | comparison solution | RESOLVENT OPERATOR TECHNIQUE | Fixed point theory | Usage | Distributions, Theory of (Functional analysis) | Banach spaces | Analysis | Contraction operators

Journal Article

Fixed Point Theory and Applications, ISSN 1687-1820, 12/2015, Volume 2015, Issue 1, pp. 1 - 10

In this work, we give a new definition of G-monotone pointwise contraction mappings in metric spaces endowed with a graph. Then we obtain sufficient conditions...

monotone mapping | Opial property | Mathematical and Computational Biology | 46B20 | Mathematics | Topology | graph | pointwise contraction | 47H10 | fixed point | Analysis | 47E10 | 47H09 | approximate fixed point sequence | Mathematics, general | Applications of Mathematics | Differential Geometry | MATHEMATICS | PARTIALLY ORDERED SETS | THEOREMS | CONVERGENCE | Inequalities (Mathematics) | Usage | Graph theory | Banach spaces | Graphs | Mapping | Metric space | Banach space | Inequalities

monotone mapping | Opial property | Mathematical and Computational Biology | 46B20 | Mathematics | Topology | graph | pointwise contraction | 47H10 | fixed point | Analysis | 47E10 | 47H09 | approximate fixed point sequence | Mathematics, general | Applications of Mathematics | Differential Geometry | MATHEMATICS | PARTIALLY ORDERED SETS | THEOREMS | CONVERGENCE | Inequalities (Mathematics) | Usage | Graph theory | Banach spaces | Graphs | Mapping | Metric space | Banach space | Inequalities

Journal Article

Numerical Functional Analysis and Optimization, ISSN 0163-0563, 01/2019, Volume 40, Issue 2, pp. 163 - 177

In this article, we introduce a faster iteration for finding a fixed point of G-monotone nonexpansive mapping in a uniformly convex Banach space with a...

G-convex interval | 47H10 | fixed point | directed graph | 47H09 | weak and strong convergence | G-monotone nonexpansive mapping | 54H25 | PARTIAL METRIC-SPACES | MATHEMATICS, APPLIED | FIXED-POINT THEOREMS | PARTIALLY ORDERED SETS | ITERATION PROCESS | CONTRACTIONS | Theorems | Fixed points (mathematics) | Mapping | Graph theory | Iterative methods | Banach space | Convergence

G-convex interval | 47H10 | fixed point | directed graph | 47H09 | weak and strong convergence | G-monotone nonexpansive mapping | 54H25 | PARTIAL METRIC-SPACES | MATHEMATICS, APPLIED | FIXED-POINT THEOREMS | PARTIALLY ORDERED SETS | ITERATION PROCESS | CONTRACTIONS | Theorems | Fixed points (mathematics) | Mapping | Graph theory | Iterative methods | Banach space | Convergence

Journal Article

Journal of Inequalities and Applications, ISSN 1025-5834, 12/2018, Volume 2018, Issue 1, pp. 1 - 15

In this paper, our aim is to ascertain the distance between two sets iteratively in two simultaneous ways with the help of a multivalued coupling define for...

47H10 | Analysis | Optimal approximate solution | Mathematics, general | Best proximity pair | Mathematics | Metric spaces | Applications of Mathematics | 54H10 | Coupling | Uniformly convex Banach space | 54H25 | EXISTENCE | CYCLIC CONTRACTIVE MAPS | MATHEMATICS, APPLIED | MATHEMATICS | FIXED-POINT THEOREMS | MAPPINGS | PROXIMITY POINTS | ORDERED METRIC-SPACES | Couplings | Error analysis | Banach spaces | Banach space | Research

47H10 | Analysis | Optimal approximate solution | Mathematics, general | Best proximity pair | Mathematics | Metric spaces | Applications of Mathematics | 54H10 | Coupling | Uniformly convex Banach space | 54H25 | EXISTENCE | CYCLIC CONTRACTIVE MAPS | MATHEMATICS, APPLIED | MATHEMATICS | FIXED-POINT THEOREMS | MAPPINGS | PROXIMITY POINTS | ORDERED METRIC-SPACES | Couplings | Error analysis | Banach spaces | Banach space | Research

Journal Article

Journal of Inequalities and Applications, ISSN 1029-242X, 12/2019, Volume 2019, Issue 1, pp. 1 - 10

In this study, we introduce a class of new generalized parametric nonlinear ordered variational inequality problems and discuss its existence result. Also, we...

Restricted-accretive | 47J22 | 47J20 | Sensitivity analysis | Variational inequality | Analysis | Mathematics, general | Parametric | Mathematics | 47J05 | Applications of Mathematics | Ordered Banach spaces | MATHEMATICS | MATHEMATICS, APPLIED | Economic models | Banach spaces | Banach space | Portfolio management | Inequality

Restricted-accretive | 47J22 | 47J20 | Sensitivity analysis | Variational inequality | Analysis | Mathematics, general | Parametric | Mathematics | 47J05 | Applications of Mathematics | Ordered Banach spaces | MATHEMATICS | MATHEMATICS, APPLIED | Economic models | Banach spaces | Banach space | Portfolio management | Inequality

Journal Article

Fixed Point Theory and Applications, ISSN 1687-1820, 12/2016, Volume 2016, Issue 1, pp. 1 - 11

In this paper, we prove some existence theorems of fixed points of a monotone nonexpansive mapping T in a Banach space E with the partial order ‘≤’, where a...

Mathematical and Computational Biology | Mathematics | Topology | monotone nonexpansive mapping | Mann iterative scheme | 47H10 | fixed point | Analysis | 49J40 | ordered Banach space | Mathematics, general | 47J05 | Applications of Mathematics | λ -hybrid mapping | Differential Geometry | 47J25 | 47H06 | 47H17 | 65J15 | 47H04 | λ-hybrid mapping | Fixed points (mathematics) | Approximation | Existence theorems | Mathematical analysis | Texts | Mapping | Banach space | Formulas (mathematics) | Convergence

Mathematical and Computational Biology | Mathematics | Topology | monotone nonexpansive mapping | Mann iterative scheme | 47H10 | fixed point | Analysis | 49J40 | ordered Banach space | Mathematics, general | 47J05 | Applications of Mathematics | λ -hybrid mapping | Differential Geometry | 47J25 | 47H06 | 47H17 | 65J15 | 47H04 | λ-hybrid mapping | Fixed points (mathematics) | Approximation | Existence theorems | Mathematical analysis | Texts | Mapping | Banach space | Formulas (mathematics) | Convergence

Journal Article

Journal of Nonlinear and Convex Analysis, ISSN 1345-4773, 2016, Volume 17, Issue 11, pp. 2215 - 2223

In this work, we discuss the existence of solutions to the Fredholm integral equation x(t) = g(t) + integral(1)(0) f(t, s, x(s))ds, in the spaces C(I), L-P(I)...

Lebesgue measure | Monotone mapping | Integral equations | Fredholm equations | Ishikawa-Krasnoselskii iteration | Nonexpansive mapping | Fixed point | MATHEMATICS | MATHEMATICS, APPLIED | PARTIALLY ORDERED SETS

Lebesgue measure | Monotone mapping | Integral equations | Fredholm equations | Ishikawa-Krasnoselskii iteration | Nonexpansive mapping | Fixed point | MATHEMATICS | MATHEMATICS, APPLIED | PARTIALLY ORDERED SETS

Journal Article

Optimization, ISSN 0233-1934, 05/2018, Volume 67, Issue 5, pp. 565 - 583

In this paper, we introduce the concept of isotone cones in Banach spaces. Then, we apply the order monotonic property of the metric projection operator to...

universally inductive poset | Chebyshev isotone cone | partially ordered Banach space | Isotone cone | fixed point | best approximation | MATHEMATICS, APPLIED | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | Operators | Continuity | Cones | Banach space

universally inductive poset | Chebyshev isotone cone | partially ordered Banach space | Isotone cone | fixed point | best approximation | MATHEMATICS, APPLIED | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | Operators | Continuity | Cones | Banach space

Journal Article

Advances in Mathematics, ISSN 0001-8708, 07/2014, Volume 259, pp. 43 - 66

We show that a continuous additive positively homogeneous map from a closed not necessarily proper cone in a Banach space onto a Banach space is an open map...

Bounded continuous right inverse | Cone | Open Mapping Theorem | Banach space | Ordered Banach space | Open mapping theorem | FUNDAMENTAL PROPERTIES | MATHEMATICS | LINEAR-OPERATORS | Mathematics - Functional Analysis

Bounded continuous right inverse | Cone | Open Mapping Theorem | Banach space | Ordered Banach space | Open mapping theorem | FUNDAMENTAL PROPERTIES | MATHEMATICS | LINEAR-OPERATORS | Mathematics - Functional Analysis

Journal Article

16.
Full Text
On common approximate fixed points of monotone nonexpansive semigroups in Banach spaces

Fixed Point Theory and Applications, ISSN 1687-1820, 12/2015, Volume 2015, Issue 1, pp. 1 - 11

In this paper, we investigate the common approximate fixed points of monotone nonexpansive semigroups of nonlinear mappings { T ( t ) } t ≥ 0 $\{T(t)\}_{t...

Mathematical and Computational Biology | 46B20 | common approximate fixed point | Mathematics | Topology | monotone nonexpansive mapping | 47H10 | fixed point | integral equation | Analysis | approximate fixed point | 47E10 | 47H09 | common fixed point | semigroup | Mathematics, general | Applications of Mathematics | Differential Geometry | MATHEMATICS | PARTIALLY ORDERED SETS | THEOREMS | FAMILIES | MAPPINGS | Integral equations | Fixed point theory | Usage | Construction | Algorithms | Approximation | Group theory | Texts | Nonlinearity | Mapping | Banach space

Mathematical and Computational Biology | 46B20 | common approximate fixed point | Mathematics | Topology | monotone nonexpansive mapping | 47H10 | fixed point | integral equation | Analysis | approximate fixed point | 47E10 | 47H09 | common fixed point | semigroup | Mathematics, general | Applications of Mathematics | Differential Geometry | MATHEMATICS | PARTIALLY ORDERED SETS | THEOREMS | FAMILIES | MAPPINGS | Integral equations | Fixed point theory | Usage | Construction | Algorithms | Approximation | Group theory | Texts | Nonlinearity | Mapping | Banach space

Journal Article

Fixed Point Theory and Applications, ISSN 1687-1820, 12/2016, Volume 2016, Issue 1, pp. 1 - 9

This paper provides new common fixed point theorems for pairs of multivalued and single-valued mappings operating between ordered Banach spaces. Our results...

Mathematical and Computational Biology | fixed point theorems | Mathematics | Topology | measure of weak noncompactness | 47H10 | integral inclusions | 47H30 | Analysis | ordered Banach space | Mathematics, general | Applications of Mathematics | Differential Geometry | Theorems | Fixed points (mathematics) | Integrals | Existence theorems | Mapping | Banach space | Inclusions

Mathematical and Computational Biology | fixed point theorems | Mathematics | Topology | measure of weak noncompactness | 47H10 | integral inclusions | 47H30 | Analysis | ordered Banach space | Mathematics, general | Applications of Mathematics | Differential Geometry | Theorems | Fixed points (mathematics) | Integrals | Existence theorems | Mapping | Banach space | Inclusions

Journal Article

Optimization, ISSN 0233-1934, 04/2017, Volume 66, Issue 4, pp. 473 - 489

In this paper, proper minimal elements of a given nonconvex set in a real ordered Banach space are defined utilizing the limiting (Mordukhovich) normal cone....

Proper minimal point | Asplund space | limiting (Mordukhovich) normal cone | ordered Banach space | nonsmooth analysis | DEFINITION | MATHEMATICS, APPLIED | MULTIOBJECTIVE OPTIMIZATION | MAXIMIZATION | RESPECT | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | VECTOR OPTIMIZATION | EFFICIENCY | Optimization algorithms | Banach spaces | Paper | Robustness | Banach space | Optimization | Constraining

Proper minimal point | Asplund space | limiting (Mordukhovich) normal cone | ordered Banach space | nonsmooth analysis | DEFINITION | MATHEMATICS, APPLIED | MULTIOBJECTIVE OPTIMIZATION | MAXIMIZATION | RESPECT | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | VECTOR OPTIMIZATION | EFFICIENCY | Optimization algorithms | Banach spaces | Paper | Robustness | Banach space | Optimization | Constraining

Journal Article

Advances in Difference Equations, ISSN 1687-1839, 12/2017, Volume 2017, Issue 1, pp. 1 - 10

This paper deals with the existence of mild solutions for the abstract fractional nonlocal evolution equations with noncompact semigroup in partially ordered...

35F25 | partially ordered Banach space | 45N05 | existence | Mathematics | fractional nonlocal evolution equation | Ordinary Differential Equations | Functional Analysis | Analysis | Difference and Functional Equations | Mathematics, general | positive C 0 $C_{0}$ -semigroup | Krasnoselskii type fixed point theorem | Partial Differential Equations | positive C | semigroup | MATHEMATICS | MATHEMATICS, APPLIED | DIFFERENTIAL-EQUATIONS | positive C-0-semigroup | Theorems | Difference equations | Existence theorems | Mathematical analysis | Group theory | Evolution | Banach space | Delay

35F25 | partially ordered Banach space | 45N05 | existence | Mathematics | fractional nonlocal evolution equation | Ordinary Differential Equations | Functional Analysis | Analysis | Difference and Functional Equations | Mathematics, general | positive C 0 $C_{0}$ -semigroup | Krasnoselskii type fixed point theorem | Partial Differential Equations | positive C | semigroup | MATHEMATICS | MATHEMATICS, APPLIED | DIFFERENTIAL-EQUATIONS | positive C-0-semigroup | Theorems | Difference equations | Existence theorems | Mathematical analysis | Group theory | Evolution | Banach space | Delay

Journal Article

Axioms, ISSN 2075-1680, 11/2019, Volume 8, Issue 4, p. 121

In this paper, we give sufficient conditions to ensure the existence of the best proximity point of monotone relatively nonexpansive mappings defined on...

partially ordered banach spaces | best proximity point | fixed point | monotone mappings | relatively cyclic nonexpansive mappings

partially ordered banach spaces | best proximity point | fixed point | monotone mappings | relatively cyclic nonexpansive mappings

Journal Article

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