Vector Variational Inequalities and Vector Optimization
ساير اطلاعات عنواني
Theory and Applications
نام نخستين پديدآور
Qamrul Hasan Ansari, Elisabeth Kobis, Jen-Chih Yao.
وضعیت نشر و پخش و غیره
محل نشرو پخش و غیره
Cham, Switzerland
نام ناشر، پخش کننده و غيره
Springer International Publishing
تاریخ نشرو بخش و غیره
2018.
مشخصات ظاهری
نام خاص و کميت اثر
xiii, 509 p.
ساير جزييات
ill.
فروست
عنوان فروست
(Vector Optimization)
شاپا ي ISSN فروست
1867-8971
یادداشتهای مربوط به مندرجات
متن يادداشت
Preliminaries -- Analysis over Cones -- Solution Concepts in Vector Optimization -- Classical Methods in Vector Optimization -- Vector Variational Inequalities -- Linear Scalarization of Vector Variational Inequalities -- Nonsmooth Vector Variational Inequalities -- Generalized Vector Variational Inequalities -- Vector Equilibrium Problems -- Generalized Vector Equilibrium Problems.
بدون عنوان
0
یادداشتهای مربوط به خلاصه یا چکیده
متن يادداشت
This book presents the mathematical theory of vector variational inequalities and their relations with vector optimization problems. It is the first-ever book to introduce well-posedness and sensitivity analysis for vector equilibrium problems. The first chapter provides basic notations and results from the areas of convex analysis, functional analysis, set-valued analysis and fixed-point theory for set-valued maps, as well as a brief introduction to variational inequalities and equilibrium problems. Chapter 2 presents an overview of analysis over cones, including continuity and convexity of vector-valued functions. The book then shifts its focus to solution concepts and classical methods in vector optimization. It describes the formulation of vector variational inequalities and their applications to vector optimization, followed by separate chapters on linear scalarization, nonsmooth and generalized vector variational inequalities. Lastly, the book introduces readers to vector equilibrium problems and generalized vector equilibrium problems. Written in an illustrative and reader-friendly way, the book offers a valuable resource for all researchers whose work involves optimization and vector optimization.
موضوع (اسم عام یاعبارت اسمی عام)
عنصر شناسه ای
Calculus of variations.
عنصر شناسه ای
Decision making.
عنصر شناسه ای
Management science.
عنصر شناسه ای
Mathematical optimization.
عنصر شناسه ای
Operations research.
رده بندی ديویی
ويراست
23
رده بندی کنگره
شماره رده
QA316
نام شخص به منزله سر شناسه - (مسئولیت معنوی درجه اول )
عنصر شناسه اي
Ansari, Qamrul Hasan,
نام شخص - (مسئولیت معنوی برابر )
مستند نام اشخاص تاييد نشده
Kobis, Elisabeth,
مستند نام اشخاص تاييد نشده
Yao, Jen-Chih,
مبدا اصلی
کشور
Iran
سازمان
University of Tehran. Library of College of Science