6 edition of **Generalized convexity and fractional programming with economic applications** found in the catalog.

- 63 Want to read
- 24 Currently reading

Published
**1990**
by Springer-Verlag in Berlin, New York
.

Written in English

- Convex functions -- Congresses.,
- Economics, Mathematical -- Congresses.

**Edition Notes**

Includes bibliographical references.

Statement | A. Cambini ... [et al.] (eds.). |

Series | Lecture notes in economics and mathematical systems ;, 345 |

Contributions | Cambini, A. 1941- |

Classifications | |
---|---|

LC Classifications | QA331.5 .I58 1988 |

The Physical Object | |

Pagination | vii, 361 p. : |

Number of Pages | 361 |

ID Numbers | |

Open Library | OL1857855M |

ISBN 10 | 3540526730, 0387526730 |

LC Control Number | 90010111 |

Diewert's mean value theorem is a powerful tool for generalized convexity, generalized monotonicity and its applications in continuous optimization and economics (see [2, 3, 5,8,9,15] and. Generalized Convexity and Optimality Conditions in Scalar and Vector Optimization (A. Cambini, L. Martein) Generalized Convexity in Vector Optimization (D. T. Luc) Generalized Convex Duality and Its Economic Applications (J.-E. Martínez-Legaz) Abstract Convexity (v, ) Fractional programming (J.B.G. Frenk, le)Price: $

Get this from a library! Generalized convexity and optimization: theory and applications. [A Cambini; L Martein] -- "The authors have written a rigorous yet elementary and self-contained book to present, in a unified framework, generalized convex functions, which are the many non-convex . Motivated by various concepts of generalized convexity, Liang et al., introduced a unified formulation of generalized convexity, which was called (F, α, ρ, d)-convexity and obtained some corresponding optimality conditions and duality results for the single objective fractional .

Fractional programs arise in management science. economics and numerical mathematics for example. In order to promote the circulation and development of research in this field. an international workshop on "Generalized Concavity. Fractional Programming and Economic Applications" was held at the University of Pisa. Italy. May 30 - June 1. Generalized concavity Application of generalized concavity to economics Special functional forms I, composite functions, products, and ratios Special functional forms II, quadratic functions Fractional programming Concave transformable functions

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In addition to generalized convex functions this volume deals with fractional programs. These are constrained optimization problems which in the objective function involve one or several ratios.

Such functions are often generalized convex. Fractional programs arise in management science. economics and numerical mathematics for : Perfect Paperback.

Generalized Convexity and Fractional Programming with Economic Applications Book Subtitle Proceedings of the International Workshop on “Generalized Concavity, Fractional Programming and Economic Applications” Held at the University of Pisa, Italy, May 30 – June 1, In addition to generalized convex functions this volume deals with fractional programs.

These are constrained optimization problems which in the objective function involve one or several ratios.

Such functions are often generalized convex. Fractional programs arise in management science. economics and numerical mathematics for example.

"The optimization of generalized convex functions plays an important role in many applications, especially in economics. The book gives an introduction to the theory and the application of such functions and their use in optimization.

The book is self Cited by: Generalized Convexity and Fractional Programming with Economic Applications Siegfried Schaible, Erio Castagnoli, Laura Martein, Piera Mazzoleni, Alberto Cambini.

Buy Generalized Convexity, Generalized Monotonicity and Applications: Proceedings of the 7th International Symposium on Generalized Convexity and Optimization and Its Applications (77)) on FREE SHIPPING on qualified orders. This volume contains a collection of refereed articles on generalized convexity and generalized monotonicity.

The first part of the book contains invited papers by leading experts (J.M. Borwein, R.E. Burkard, B.S. Mordukhovich and H.

Tuy) with applications of (generalized) convexity to such diverse fields as algebraic dynamics of the Gamma function values, discrete optimization, Lipschitzian Format: Hardcover.

Keywords: convexity/concavity, generalized convexity/generalized concavity, convex programming, fractional programming, convexity in economics - Hide Description Originally published inthis enduring text remains the most comprehensive book on generalized convexity and concavity.

Generalized Convexity and Fractional Optimization. Authors; Authors and affiliations Generalized Concavity in Optimization and Economics Cambini A., Castagnoli E., Martein L., Mazzoleni P., Schaible S.

(eds) Generalized Convexity and Fractional Programming with Economic Applications. Lecture Notes in Economics and Mathematical Systems Cited by: 3.

This volume contains a collection of refereed articles on generalized convexity and generalized monotonicity. The first part of the book contains invited papers by leading experts (J.M.

Borwein, R.E. Burkard, B.S. Mordukhovich and H. Tuy) with applications of (generalized) convexity to such diverse fields as algebraic dynamics of the Gamma function values, discrete optimization, Lipschitzian. The convexity of sets and the convexity and concavity of functions have been the object of many studies during the past one hundred years.

Introduction to Generalized Convexity | SpringerLink Skip Cited by: 5. A class of multiobjective fractional programming problems is considered and duality results are established through a parametric approach. Generalized Convexity and Fractional Programming with Economic Applications.

Martein L., Mazzoleni P., Schaible S. (eds) Generalized Convexity and Fractional Programming with Economic Applications. The book will be a useful tool not only for researchers, but also for graduates and advanced students working in economics, mathematical programming, the management sciences and operations research.

It begins with a review of convex analysis and the fundamental theoretical findings on generalized convexity and on optimization, including their Price: $ A simple extensionof thenotionof convexity consists in requiringthatthe sublevel sets ofthe functionsare convex (recall thata sublevel set offunction a is theportionof thesourcespaceon which thefunctiontakesvalues below a certainlevel).Its first use is usuallyattributed to deFinetti, in Wolfe-type Duality, Mond-Weir type Duality, Mixed type Duality for Multiobjective optimization problems such as Nonlinear programming problems, Fractional programming problems, Nonsmooth programming problems, Nondifferentiable programming problems, Variational and Control problems under various types of generalized convexity assumptions.

The book will be a useful tool not only for researchers, but also for graduates and advanced students working in economics, mathematical programming, the management sciences and operations research.

It begins with a review of convex analysis and the fundamental theoretical findings on generalized convexity and on optimization, including their. Generalized convexity and fractional programming with economic applications.

Proceedings of the international workshop on ”Generalized concavity, fractional programming and economic applications”. fractional programming has b eneﬁted from adv ances in generalized con- v exit y, and vice v ersa (cf.[50]).

F ractional programming also o verlaps with global optimization. Abstract. The purpose of this paper is to introduce and analyze the convergence of a new interval-type algorithm for generalized fractional programming; This new algorithm has the advantage of being easier to implement than earlier algorithms of this type, especialy for nonlinear problem.

Generalized Convexity and Fractional Programming with Economic Applications, () On some specification of the Dubovicki-Milutin theorem for Pareto optimal problems.

Nonlinear Analysis: Theory, Methods & Applications. Single-ratio and multi-ratio fractional programs in applications are often generalized convex programs. We begin with a survey of applications of single-ratio fractional programs, min-max.Generalized Convexity and Fractional Programming with Economic Applications.

Proceedings of the International Workshop on???Generalized Concavity, Fractional Programming and Economic Applications??? Held at the University of Pisa, Italy, May 30??? June. Cambini, Alberto.In the present monograph we opt for the domain of fractional programming.

Interest of this subject was generated by the fact that various optimization problems from engineering and economics consider the minimization of a ratio between physical and/or economical functions, for example cost/time, cost/volume,cost/profit, or other quantities that.