Pseudolinear Functions and Optimization

Author:   Shashi Kant Mishra ,  Balendu Bhooshan Upadhyay
Publisher:   Taylor & Francis Ltd
ISBN:  

9780367377922


Pages:   510
Publication Date:   04 November 2019
Format:   Paperback
Availability:   In Print   Availability explained
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Pseudolinear Functions and Optimization


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Overview

Pseudolinear Functions and Optimization is the first book to focus exclusively on pseudolinear functions, a class of generalized convex functions. It discusses the properties, characterizations, and applications of pseudolinear functions in nonlinear optimization problems. The book describes the characterizations of solution sets of various optimization problems. It examines multiobjective pseudolinear, multiobjective fractional pseudolinear, static minmax pseudolinear, and static minmax fractional pseudolinear optimization problems and their results. The authors extend these results to locally Lipschitz functions using Clarke subdifferentials. They also present optimality and duality results for h-pseudolinear and semi-infinite pseudolinear optimization problems. The authors go on to explore the relationships between vector variational inequalities and vector optimization problems involving pseudolinear functions. They present characterizations of solution sets of pseudolinear optimization problems on Riemannian manifolds as well as results on pseudolinearity of quadratic fractional functions. The book also extends n-pseudolinear functions to pseudolinear and n-pseudolinear fuzzy mappings and characterizations of solution sets of pseudolinear fuzzy optimization problems and n-pseudolinear fuzzy optimization problems. The text concludes with some applications of pseudolinear optimization problems to hospital management and economics. This book encompasses nearly all the published literature on the subject along with new results on semi-infinite nonlinear programming problems. It will be useful to readers from mathematical programming, industrial engineering, and operations management.

Full Product Details

Author:   Shashi Kant Mishra ,  Balendu Bhooshan Upadhyay
Publisher:   Taylor & Francis Ltd
Imprint:   Chapman & Hall/CRC
Weight:   0.943kg
ISBN:  

9780367377922


ISBN 10:   0367377926
Pages:   510
Publication Date:   04 November 2019
Audience:   College/higher education ,  General/trade ,  Tertiary & Higher Education ,  General
Format:   Paperback
Publisher's Status:   Active
Availability:   In Print   Availability explained
This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us.

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Reviews

This is a study of the mathematics of pseudolinear functions and their applications. ... [The book includes] some applications of pseudolinear optimization problems to hospital management and economics. --Zentralblatt MATH 1326 There is a real need for this book in the market. ... There are numerous books on generalized convexity with applications, but there are only a few books concerned with pseudolinear functions. There are many books on nonconvex optimization with applications, but they do not contain pseudolinear functions. There are also several books on vector optimization, but they do not contain pseudolinear functions. --Nan-Jing Huang, Sichuan University, Chengdu, People's Republic of China


Author Information

Mishra, Shashi Kant; Upadhyay, Balendu Bhooshan

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