Record Nr.

UNINA9910483922303321

Titolo

Nonlinear analysis and global optimization / / Themistocles M. Rassias, Panos M. Pardalos, editors

Pubbl/distr/stampa


Cham, Switzerland : , : Springer, , [2021]
©2021

ISBN

3-030-61732-7

Descrizione fisica

1 online resource (ix, 486 pages) : illustrations

Collana

Springer optimization and its applications ; ; Volume 167

Disciplina

519.3

Soggetti

Mathematical optimization

Teories no lineals

Optimització matemàtica

Llibres electrònics

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Nota di contenuto

Intro -- Preface -- Contents -- Friction Models in the Framework of Set-Valued and ConvexAnalysis -- 1 Introduction -- 2 The Approach of Moreau and Panagiotopoulos -- 3 Models of Frictions -- 4 Stability Analysis of a Two-Degree-of-Freedom Mechanical System -- References -- A Survey on Markov's Theorem on Zeros of Orthogonal Polynomials -- 1 Introduction -- 2 Main Result -- 3 Markov's Theorem and Its Descendants -- 4 Some Applications -- 4.1 Sharp Monotonicity Properties of the Zeros of Orthogonal Polynomials Derived from Corollary 3.4 -- 4.2 Sharp Monotonicity Properties of the Zeros of Orthogonal Polynomials Derived from Corollary 3.5 -- 4.3 Monotonicity of the Zeros of Classical Continuous Orthogonal Polynomials Derived from Corollary 3.1 (Markov's Theorem) -- 4.4 Sharp Monotonicity Properties of the Zeros of Classical Continuous Orthogonal Polynomials Derived from Corollary 3.3 -- 4.5 Monotonicity of the Zeros of Classical Discrete Orthogonal Polynomials Derived from Corollary 3.1 (Markov's Theorem) -- References -- A Review of Two Network Curvature Measures -- 1 Introduction -- 2 Gromov-Hyperbolic Curvature -- 2.1 Topological Characteristics of Gromov-Hyperbolicity Measure -- 2.2 Gromov Curvature of Real-World Networks -- 2.3 Efficient

Computation of Gromov Curvature -- 2.4 Algorithmic Implications of Small Gromov Curvature -- 2.5 Statistical Validation of Gromov Curvature via ``Scaled'' Version -- 3 Geometric Curvature -- 3.1 Basic Topological Concepts -- 3.2 Topological Association of Networks with a Complex -- 3.3 Defining Geometric Curvatures for Elementary Components of Given Graph -- 1-Complex-Based Geometric Curvature for a Pair of Nodes -- 2-Complex-Based Geometric Curvature for a Pair of Nodes -- Higher-Dimensional Geometric Curvature for a Pair of Nodes -- 3.4 Overall (Scalar) Curvature Value for a Network.

3.5 Computation of Geometric Curvatures -- 3.6 Real-World Networks and Geometric Curvatures -- 3.7 Statistical Validations for all Curvature Measures -- 4 Two Applications of Curvature Analysis of Graphs -- 4.1 Detecting Critical Elementary Components of Networks -- 4.2 Detecting Change Points in Dynamic Networks -- 5 Conclusion -- References -- A Frictional Dynamic Thermal Contact Problem with Normal Compliance and Damage -- 1 Introduction -- 2 The Contact Problem -- 3 Proof of Theorem 1 -- 4 Analysis of a Numerical Scheme -- 5 Numerical Computations -- References -- Mixed Concave-Convex Sub-Superlinear Schrödinger Equation: Survey and Development of Some New Cases -- 1 Introduction -- 2 The Stationary Problem -- 2.1 Mixed Sub-linear Defocusing Case 0&lt -- p&lt -- q&lt -- 1 -- 2.2 The Defocusing Sub-linear Case p=1, 0&lt -- q&lt -- 1 -- 2.3 The Mixed Sub-linear/Linear Case 0&lt -- p&lt -- 1 and q=1 -- 2.4 A Mixed Sub-linear Defocusing Case o&lt -- q&lt -- p&lt -- 1 -- 2.5 A Mixed Sub-linear/Super-Linear Defocusing Case 0&lt -- p&lt -- 1&lt -- q -- 2.6 Mixed Super-Linear/Sub-linear Defocusing Case 0&lt -- q&lt -- 1&lt -- p -- 2.7 Mixed Linear/Super-Linear Defocusing Case p=1 and q&gt -- 1 -- 2.8 Mixed Super-Linear/Linear Defocusing Case q=1 and p&gt -- 1 -- 2.9 Mixed Super-Linear/Super-Linear Defocusing Case 1&lt -- p&lt -- q -- 2.10 Mixed Super-Linear/Super-Linear Defocusing Case 1&lt -- q&lt -- p -- 3 Some Graphical Illustrations -- 3.1 Example 1: The Mixed Sub-linear Case 0&lt -- p&lt -- q&lt -- 1 -- 3.2 Example 2: The Mixed Linear/Sub-linear Case p=1 and 0&lt -- q&lt -- 1 -- 3.3 Example 3: The Mixed Sub-linear/Sub-linear Case 0&lt -- q&lt -- p&lt -- 1 -- 3.4 Example 4: The Mixed Sub-linear/Linear Case 0&lt -- p&lt -- 1 and q=1 -- 4 Conclusion -- References -- An Optimization Model for a Network of Organ Transplants with Uncertain Availability.

1 Introduction -- 2 The Mathematical Model -- 3 Variational Inequality -- 4 Numerical Examples -- 4.1 Example 1 -- Example 1.2 -- 4.2 Example 2 -- 5 Conclusions -- References -- Algebraic Based Techniques as Decision Making Tools -- 1 Introduction -- 2 Preliminaries -- 3 Median Algebras -- 4 Median Homomorphisms as Consensus Procedures -- 4.1 Consensus Over Trees -- 4.2 Consensus Over Hypercube-Free Median Algebras -- 4.3 Consensus Over Weak Orders -- 5 Application -- 6 Conclusions -- References -- Norm Estimates for the Composite Operators -- 1 Introduction -- 2 Local Integrability -- 3 Global Integrability -- References -- A Variational Inequality Based Stochastic Approximation for Inverse Problems in Stochastic Partial Differential Equations -- 1 Introduction -- 2 Stochastic Approximation for Variational Inequalities -- 3 Stochastic Approximation for Inverse Problems -- 3.1 Optimization Formulation of the Inverse Problem -- 3.2 Discrete Formulas -- 4 Computational Experiments -- 5 Concluding Remarks -- References -- An Iterative Method for a Common Solution of Split Generalized Equilibrium Problems and Fixed Points of a Finite Family of Nonexpansive Mapping -- 1 Introduction -- 2 Preliminaries -- 3 The Proposed Method and Some Properties -- 4 Numerical Example -- 5 Conclusions -- References -- Periodic Solutions Around the Out-of-Plane Equilibrium

Points in the Restricted Three-Body Problem with Radiation and Angular Velocity Variation -- 1 Introduction -- 2 Equations of Motion -- 3 Out-of-Plane Equilibrium Points -- 4 Spatial Periodic Orbits Around the Out-of-Plane Equilibria -- 4.1 The Analytical Approximation -- 4.2 The Numerical Approximation -- 5 Discussion and Conclusion -- References -- Optimal Lot Size with Partial Backlogging Under the Occurrence of Imperfect Quality Items -- 1 Introduction -- 2 Preliminaries -- 2.1 Assumptions.

2.2 Notation -- 3 Model Formulation and Optimal Policy Determination -- 3.1 Cycle Length -- 3.2 Total Profit Formulation -- 3.3 Optimal Policy -- 3.4 Special Cases -- 4 Numerical Comparisons -- 5 Cost Penalty of Employing the EOQ with Partial Backorders -- 6 Conclusions -- Appendix -- References -- Error Analysis Through Energy Minimization and Stability Properties of Exponential Integrators -- 1 Introduction and Motivation -- 2 Exponential Integrators for Hamiltonian Systems -- 3 High-Order Exponential Variational Integrators -- 4 Stability Analysis of Exponential Variational Integrators -- 4.1 Exponential Variational Integrator for S=2 -- 4.2 Exponential Variational Integrator for S=3 -- 5 Error Analysis from Testing the Variational Integrators in Hamiltonian Systems -- 6 Conclusions -- References -- A Degenerate Kirchhoff-Type Inclusion Problem with NonlocalOperator -- 1 Introduction -- 2 Mathematical Background -- 3 Statement of Main Result -- 4 Truncated Problems -- 5 Mountain-Pass Geometry -- 6 Palais-Smale Condition -- 7 Proof of Theorem 2 and Example -- References -- Competition for Medical Supplies Under Stochastic Demand in the Covid-19 Pandemic: A Generalized Nash Equilibrium Framework -- 1 Introduction -- 2 Literature Review and Our Contributions -- 3 The Generalized Nash Equilibrium Network Model for Medical Supplies Under Stochastic Demand -- 3.1 Illustrative Examples -- 4 Qualitative Properties and the Algorithm -- The Modified Projection Method -- 5 Numerical Examples -- 6 Summary and Conclusions and Suggestions for Future Research -- References -- Relative Strongly Exponentially Convex Functions -- 1 Introduction -- 2 Preliminary Results -- 3 Main Results -- 4 Conclusion -- References -- Properties of Exponentially m-Convex Functions -- 1 Introduction -- 2 Preliminary Results -- 3 Main Results -- 4 Conclusion -- References.

Natural vs. Artificial Topologies on a Relativistic Spacetime -- 1 Motivation: The Topologization Problem -- 2 What Is (or Should be) the Role of Spacetime Topology? -- 3 Singularities, Naked Singularities and a Kind of Unexpected Gravitational Time Delay Effects -- 4 A Duality Between Timelike-Spacelike Events: Between ``Chronos'' and ``Choros'' -- 5 Questions -- References -- On the Approximation of Monotone Variational Inequalities in Lp Spaces with Probability Measure -- 1 Introduction -- 2 Regularization of Random Variational Inequalities -- 2.1 Random Variational Inequalities in Probabilistic Lebesgue Spaces -- 2.2 A Functional Approximation Scheme for the Random Variational Inequality -- 2.3 Implementation -- 3 Application to the Traffic Network Equilibrium Problem with Random Data -- 3.1 An Outline of the Traffic Network Equilibrium Problem -- 3.2 The Stochastic VI Formulation of the Traffic Network Equilibrium Problem -- 3.3 Numerical Experiments -- References -- Operator Factorization and Solution of Second-Order Nonlinear Difference Equations with Variable Coefficients and Multipoint Constraints -- 1 Introduction -- 2 Factorization Method -- 3 Second-Order Nonlinear Difference Equations -- 3.1 Type I -- 3.2 Type II -- References -- An Invitation to the Study of a Uniqueness Problem -- Reference -- Schrödinger Equations in Nonlinear Optics -- 1 Introduction -- 2 Some Lemmas -- 3 Proof of Theorem 2 -- 4 Proof of Theorem 3 -- References --

Ekeland Variational Principles in 2-Local Branciari Metric Spaces -- 1 Introduction -- 2 Dependent Choice Principles -- 3 Conv-Cauchy Structures -- 4 Local and 2-Local Branciari Metric Spaces -- 5 Main Result -- 6 Equivalence Statements -- References.