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Vector Variational Inequalities and Vector Optimization - Theory and Applications (Hardcover, 1st ed. 2018): Qamrul Hasan... Vector Variational Inequalities and Vector Optimization - Theory and Applications (Hardcover, 1st ed. 2018)
Qamrul Hasan Ansari, Elisabeth Kobis, Jen-Chih Yao
R5,905 Discovery Miles 59 050 Ships in 7 - 11 working days

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.

Recent Developments in Vector Optimization (Paperback, 2012 ed.): Qamrul Hasan Ansari, Jen-Chih Yao Recent Developments in Vector Optimization (Paperback, 2012 ed.)
Qamrul Hasan Ansari, Jen-Chih Yao
R3,757 Discovery Miles 37 570 Ships in 7 - 11 working days

We always come cross several decision-making problems in our daily life. Such problems are always conflicting in which many different view points should be satisfied. In politics, business, industrial systems, management science, networks, etc. one often encounters such kind of problems. The most important and difficult part in such problems is the conflict between various objectives and goals. In these problems, one has to find the minimum(or maximum) for several objective functions. Such problems are called vector optimization problems (VOP),multi-criteria optimization problems or multi-objective optimization problems. This volume deals with several different topics / aspects of vector optimization theory ranging from the very beginning to the most recent one. It contains fourteen chapters written by different experts in the field of vector optimization.

Variational Analysis and Generalized Differentiation in Optimization and Control - In Honor of Boris S. Mordukhovich... Variational Analysis and Generalized Differentiation in Optimization and Control - In Honor of Boris S. Mordukhovich (Paperback, 2010 ed.)
Regina S. Burachik, Jen-Chih Yao
R3,079 Discovery Miles 30 790 Ships in 7 - 11 working days

This special volume is dedicated to Boris M. Mordukhovich, on the occasion of his 60th birthday, and aims to celebrate his fundamental contributionsto variational analysis, generalizeddifferentiationand their applications.A main exampleof these contributions is Boris' recent opus magnus "Variational Analysis and Generalized Differentiation"(vols. I and II) [2,3]. A detailed explanationand careful description of Boris' research and achievements can be found in [1]. Boris' active work and jovial attitude have constantly inspired researchers of several generations, with whom he has generously shared his knowledgeand ent- siasm, along with his well-known warmth and human touch. Variationalanalysis is a rapidlygrowing?eld within pure and applied mathem- ics, with numerous applications to optimization, control theory, economics, en- neering, and other disciplines. Each of the 12 chapters of this volume is a carefully reviewed paper in the ?eld of variational analysis and related topics. Many chapters of this volume were presented at the International Symposium on Variational Analysis and Optimization (ISVAO), held in the Department of Applied Mathematics, National Sun Yat-sen University, Kaohsiung, Taiwan, from November 28 to November 30, 2008. The symposium was organized in honour of Boris' 60thbirthday.It broughttogetherBorisandotherresearchersto discusssta- of-the-art results in variational analysis and its applications, with emphasis on op- mization and control. We thank the organizers and participants of the symposium, who made the symposium a highly bene?cial and enjoyable event. We are also grateful to all the authors of this special volume, who have taken the opportunityto celebrate Boris' birthdayand his decadesof contributionsto the area.

Recent Developments in Vector Optimization (Hardcover, 2012): Qamrul Hasan Ansari, Jen-Chih Yao Recent Developments in Vector Optimization (Hardcover, 2012)
Qamrul Hasan Ansari, Jen-Chih Yao
R3,777 R2,989 Discovery Miles 29 890 Save R788 (21%) Ships in 12 - 17 working days

We always come cross several decision-making problems in our daily life. Such problems are always conflicting in which many different view points should be satisfied. In politics, business, industrial systems, management science, networks, etc. one often encounters such kind of problems. The most important and difficult part in such problems is the conflict between various objectives and goals. In these problems, one has to find the minimum(or maximum) for several objective functions. Such problems are called vector optimization problems (VOP),multi-criteria optimization problems or multi-objective optimization problems. This volume deals with several different topics / aspects of vector optimization theory ranging from the very beginning to the most recent one. It contains fourteen chapters written by different experts in the field of vector optimization.

Variational Analysis and Generalized Differentiation in Optimization and Control - In Honor of Boris S. Mordukhovich... Variational Analysis and Generalized Differentiation in Optimization and Control - In Honor of Boris S. Mordukhovich (Hardcover, 2010 ed.)
Regina S. Burachik, Jen-Chih Yao
R3,003 R2,377 Discovery Miles 23 770 Save R626 (21%) Ships in 12 - 17 working days

This special volume is dedicated to Boris M. Mordukhovich, on the occasion of his 60th birthday, and aims to celebrate his fundamental contributionsto variational analysis, generalizeddifferentiationand their applications.A main exampleof these contributions is Boris' recent opus magnus "Variational Analysis and Generalized Differentiation"(vols. I and II) [2,3]. A detailed explanationand careful description of Boris' research and achievements can be found in [1]. Boris' active work and jovial attitude have constantly inspired researchers of several generations, with whom he has generously shared his knowledgeand ent- siasm, along with his well-known warmth and human touch. Variationalanalysis is a rapidlygrowing?eld within pure and applied mathem- ics, with numerous applications to optimization, control theory, economics, en- neering, and other disciplines. Each of the 12 chapters of this volume is a carefully reviewed paper in the ?eld of variational analysis and related topics. Many chapters of this volume were presented at the International Symposium on Variational Analysis and Optimization (ISVAO), held in the Department of Applied Mathematics, National Sun Yat-sen University, Kaohsiung, Taiwan, from November 28 to November 30, 2008. The symposium was organized in honour of Boris' 60thbirthday.It broughttogetherBorisandotherresearchersto discusssta- of-the-art results in variational analysis and its applications, with emphasis on op- mization and control. We thank the organizers and participants of the symposium, who made the symposium a highly bene?cial and enjoyable event. We are also grateful to all the authors of this special volume, who have taken the opportunityto celebrate Boris' birthdayand his decadesof contributionsto the area.

Applied Functional Analysis and Its Applications (Hardcover): Jen-Chih Yao, Shahram Rezapour Applied Functional Analysis and Its Applications (Hardcover)
Jen-Chih Yao, Shahram Rezapour
R1,119 R917 Discovery Miles 9 170 Save R202 (18%) Ships in 7 - 11 working days
Vector Variational Inequalities and Vector Optimization - Theory and Applications (Paperback, Softcover reprint of the original... Vector Variational Inequalities and Vector Optimization - Theory and Applications (Paperback, Softcover reprint of the original 1st ed. 2018)
Qamrul Hasan Ansari, Elisabeth Koebis, Jen-Chih Yao
R4,539 Discovery Miles 45 390 Out of stock

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.

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