1.

Record Nr.

UNINA9910300260403321

Autore

Khan Akhtar A

Titolo

Set-valued Optimization : An Introduction with Applications / / by Akhtar A. Khan, Christiane Tammer, Constantin Zălinescu

Pubbl/distr/stampa

Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 2015

ISBN

3-642-54265-4

Edizione

[1st ed. 2015.]

Descrizione fisica

1 online resource (781 p.)

Collana

Vector Optimization, , 1867-8971

Disciplina

510

519

519.6

658.40301

Soggetti

Mathematical optimization

Operations research

Decision making

Management science

Game theory

Optimization

Operations Research/Decision Theory

Continuous Optimization

Operations Research, Management Science

Game Theory, Economics, Social and Behav. Sciences

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

Description based upon print version of record.

Nota di bibliografia

Includes bibliographical references and index.

Nota di contenuto

Introduction -- Order Relations and Ordering Cones -- Continuity and Differentiability -- Tangent Cones and Tangent Sets -- Nonconvex Separation Theorems -- Hahn-Banach Type Theorems -- Hahn-Banach Type Theorems -- Conjugates and Subdifferentials -- Duality -- Existence Results for Minimal Points -- Ekeland Variational Principle -- Derivatives and Epiderivatives of Set-valued Maps -- Optimality Conditions in Set-valued Optimization -- Sensitivity Analysis in Set-valued Optimization and Vector Variational Inequalities -- Numerical Methods for Solving Set-valued Optimization Problems -- Applications.



Sommario/riassunto

Set-valued optimization is a vibrant and expanding branch of mathematics that deals with optimization problems where the objective map and/or the constraints maps are set-valued maps acting between certain spaces. Since set-valued maps subsumes single valued maps, set-valued optimization provides an important extension and unification of the scalar as well as the vector optimization problems. Therefore this relatively new discipline has justifiably attracted a great deal of attention in recent years. This book presents, in a unified framework, basic properties on ordering relations, solution concepts for set-valued optimization problems, a detailed description of convex set-valued maps, most recent developments in separation theorems, scalarization techniques, variational principles, tangent cones of first and higher order, sub-differential of set-valued maps, generalized derivatives of set-valued maps, sensitivity analysis, optimality conditions, duality, and applications in economics among other things.

2.

Record Nr.

UNINA9910557114503321

Autore

Moschini Marco

Titolo

Outcomes and Therapeutic Management of Bladder Cancer

Pubbl/distr/stampa

Basel, Switzerland, : MDPI - Multidisciplinary Digital Publishing Institute, 2020

Descrizione fisica

1 online resource (120 p.)

Soggetti

Medicine

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Sommario/riassunto

Bladder cancer is the second most common genitourinary malignancy, with 81,190 estimated new diagnoses in 2018, in the United States alone. Transurethral resection of the bladder and radical cystectomy with bilateral pelvic lymph node dissection constitute the standard treatment for non-muscle invasive or very high-risk non-muscle invasive bladder cancer, respectively. However, survival expectations



have not shown to improve in the last 20 years, and new diagnostic and therapeutic tools are urgently needed to improve the outcomes of this potentially lethal disease.