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Advances in Optimization and Nonlinear Analysis
| Advances in Optimization and Nonlinear Analysis |
| Autore | Treanţă Savin |
| Pubbl/distr/stampa | Basel, : MDPI - Multidisciplinary Digital Publishing Institute, 2022 |
| Descrizione fisica | 1 electronic resource (334 p.) |
| Soggetto topico |
Research & information: general
Mathematics & science |
| Soggetto non controllato |
well posedness
constrained variational control problem monotonicity pseudomonotonicity hemicontinuity multiple integral functional lower semicontinuity fractional differential equations fractional derivative of Riemann-Liouville type integral boundary value problems Green's functions Guo-Krasnosel'skii fixed point theorem in cones sublinearity and superlinearity Arzelà-Ascoli Theorem multi-objective programming fractional transportation problem intuitionistic fuzzy set parametric programming convex function h-convex function Hermite-Hadamard inequality Caputo-Fabrizio fractional integral Jensen inequality Jensen-Mercer inequality multiobjective programs with vanishing constraints semidefinite programming convexificators nonsmooth analysis constraint qualifications interval-valued function Riemann integral LR-convex interval-valued function interval Hermite-Hadamard inequality interval Hermite-Hadamard-Fejér inequality Lieb concavity theorem deformed exponential Pick function convexity of matrix low carbon inventory discount payment in advance price-sensitive demand emission reduction advances of SDO applications of SDO metaheuristic optimization nature-inspired algorithms optimization problems spiral dynamics optimization spiral-inspired optimization algorithms spiral paths (p,s)-convex fuzzy-interval-valued function fuzzy Riemann integral Jensen type inequality Schur type inequality Hermite-Hadamard type inequality Hermite-Hadamard-Fejér type inequality inverse geometric problem Laplace equation method of fundamental solution least-square problem micro resonator fractal multistability safe jump hidden attractor chaos basin of attraction LR-Harmonically convexity fractional integral operator Hermite-Hadamard type inequalities multimodal multi-objective optimization manta ray foraging optimizer non-dominated solution crowing distance engineering design problem optimal power flow renewable energy sources improved chaos game optimization TD-TI controller load frequency control electrical vehicles |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNINA-9910585943003321 |
Treanţă Savin
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| Basel, : MDPI - Multidisciplinary Digital Publishing Institute, 2022 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Fréchet differentiability of Lipschitz functions and porous sets in Banach spaces [[electronic resource] /] / Joram Lindenstrauss, David Preiss, Jaroslav Tiser
| Fréchet differentiability of Lipschitz functions and porous sets in Banach spaces [[electronic resource] /] / Joram Lindenstrauss, David Preiss, Jaroslav Tiser |
| Autore | Lindenstrauss Joram <1936-> |
| Edizione | [Course Book] |
| Pubbl/distr/stampa | Princeton, : Princeton University Press, 2012 |
| Descrizione fisica | 1 online resource (436 p.) |
| Disciplina | 515/.88 |
| Altri autori (Persone) |
PreissDavid
TišerJaroslav <1957-> |
| Collana | Annals of mathematics studies |
| Soggetto topico |
Banach spaces
Calculus of variations Functional analysis |
| Soggetto non controllato |
Asplund space
Banach space Borel sets Euclidean space Frechet differentiability Fréchet derivative Fréchet differentiability Fréchet smooth norm Gâteaux derivative Gâteaux differentiability Hilbert space Lipschitz function Lipschitz map Radon-Nikodým property asymptotic uniform smoothness asymptotically smooth norm asymptotically smooth space bump completeness cone-monotone function convex function deformation derivative descriptive set theory flat surface higher dimensional space infinite dimensional space irregular behavior irregularity point linear operators low Borel classes lower semicontinuity mean value estimate modulus multidimensional mean value nonlinear functional analysis nonseparable space null sets perturbation function perturbation game perturbation porosity porous sets regular behavior regular differentiability regularity parameter renorming separable determination separable dual separable space slice smooth bump subspace tensor products three-dimensional space two-dimensional space two-player game variational principle variational principles Γ-null sets ε-Fréchet derivative ε-Fréchet differentiability σ-porous sets |
| ISBN |
1-283-37995-3
9786613379955 1-4008-4269-7 |
| Classificazione | SI 830 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- Contents -- Chapter One: Introduction -- Chapter Two: Gâteaux differentiability of Lipschitz functions -- Chapter Three: Smoothness, convexity, porosity, and separable determination -- Chapter Four: ε-Fréchet differentiability -- Chapter Five: Γ-null and Γn-null sets -- Chapter Six: Férchet differentiability except for Γ-null sets -- Chapter Seven: Variational principles -- Chapter Eight: Smoothness and asymptotic smoothness -- Chapter Nine: Preliminaries to main results -- Chapter Ten: Porosity, Γn- and Γ-null sets -- Chapter Eleven: Porosity and ε-Fréchet differentiability -- Chapter Twelve: Fréchet differentiability of real-valued functions -- Chapter Thirteen: Fréchet differentiability of vector-valued functions -- Chapter Fourteen: Unavoidable porous sets and nondifferentiable maps -- Chapter Fifteen: Asymptotic Fréchet differentiability -- Chapter Sixteen: Differentiability of Lipschitz maps on Hilbert spaces -- Bibliography -- Index -- Index of Notation |
| Record Nr. | UNINA-9910789737103321 |
|
Lindenstrauss Joram <1936->
|
||
| Princeton, : Princeton University Press, 2012 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Fréchet differentiability of Lipschitz functions and porous sets in Banach spaces / / Joram Lindenstrauss, David Preiss, Jaroslav Tiser
| Fréchet differentiability of Lipschitz functions and porous sets in Banach spaces / / Joram Lindenstrauss, David Preiss, Jaroslav Tiser |
| Autore | Lindenstrauss Joram <1936-> |
| Edizione | [Course Book] |
| Pubbl/distr/stampa | Princeton, : Princeton University Press, 2012 |
| Descrizione fisica | 1 online resource (436 p.) |
| Disciplina | 515/.88 |
| Altri autori (Persone) |
PreissDavid
TišerJaroslav <1957-> |
| Collana | Annals of mathematics studies |
| Soggetto topico |
Banach spaces
Calculus of variations Functional analysis |
| Soggetto non controllato |
Asplund space
Banach space Borel sets Euclidean space Frechet differentiability Fréchet derivative Fréchet differentiability Fréchet smooth norm Gâteaux derivative Gâteaux differentiability Hilbert space Lipschitz function Lipschitz map Radon-Nikodým property asymptotic uniform smoothness asymptotically smooth norm asymptotically smooth space bump completeness cone-monotone function convex function deformation derivative descriptive set theory flat surface higher dimensional space infinite dimensional space irregular behavior irregularity point linear operators low Borel classes lower semicontinuity mean value estimate modulus multidimensional mean value nonlinear functional analysis nonseparable space null sets perturbation function perturbation game perturbation porosity porous sets regular behavior regular differentiability regularity parameter renorming separable determination separable dual separable space slice smooth bump subspace tensor products three-dimensional space two-dimensional space two-player game variational principle variational principles Γ-null sets ε-Fréchet derivative ε-Fréchet differentiability σ-porous sets |
| ISBN |
1-283-37995-3
9786613379955 1-4008-4269-7 |
| Classificazione | SI 830 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- Contents -- Chapter One: Introduction -- Chapter Two: Gâteaux differentiability of Lipschitz functions -- Chapter Three: Smoothness, convexity, porosity, and separable determination -- Chapter Four: ε-Fréchet differentiability -- Chapter Five: Γ-null and Γn-null sets -- Chapter Six: Férchet differentiability except for Γ-null sets -- Chapter Seven: Variational principles -- Chapter Eight: Smoothness and asymptotic smoothness -- Chapter Nine: Preliminaries to main results -- Chapter Ten: Porosity, Γn- and Γ-null sets -- Chapter Eleven: Porosity and ε-Fréchet differentiability -- Chapter Twelve: Fréchet differentiability of real-valued functions -- Chapter Thirteen: Fréchet differentiability of vector-valued functions -- Chapter Fourteen: Unavoidable porous sets and nondifferentiable maps -- Chapter Fifteen: Asymptotic Fréchet differentiability -- Chapter Sixteen: Differentiability of Lipschitz maps on Hilbert spaces -- Bibliography -- Index -- Index of Notation |
| Record Nr. | UNINA-9910823398203321 |
|
Lindenstrauss Joram <1936->
|
||
| Princeton, : Princeton University Press, 2012 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||