Pseudolinear Functions and Optimization

by Shashi Kant Mishra, Balendu Bhooshan Upadhyay

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 optimiza

Product Details

ISBN-13:	9781040188941
Publisher:	CRC Press
Publication date:	12/18/2014
Sold by:	Barnes & Noble
Format:	eBook
Pages:	510
File size:	1 MB

About the Author

Mishra, Shashi Kant; Upadhyay, Balendu Bhooshan

Table of Contents

Introduction. Pseudolinear Functions: Characterizations and Properties. Constrained Pseudolinear Optimization Problems: Characterizations of Solution Sets. Constrained Pseudolinear Optimization Problems: Characterizations of Solutions Sets in Terms of Lagrange Multipliers. Pseudolinear Multiobjective Optimization. Nonsmooth Pseudolinear Multiobjective Optimization. Static Minimax Programming and Pseudolinear Functions. Nonsmooth Static Minimax Programming and Pseudolinear Functions. Nonsmooth Multiobjective Pseudolinear Programming: Optimality and Duality in Terms of Bifunctions. Pseudolinear Multiobjective Semi-Infinite Programming Problems. Vector Variational Inequality and Vector Pseudolinear Optimization Problems. Extension of Pseudolinear Functions and Variational Inequality Problems. Pseudolinear Functions: Characterizations and Properties of Solution Set. Smooth Pseudolinear Functions and Riemannian Manifolds. Pseudolinear Quadratic Fractional Functions. Pseudolinear Fuzzy Mapping. Pseudolinear Function and Its Applications.

Editorial 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

From the Publisher