Last edited by Shaktizilkree

Tuesday, July 21, 2020 | History

4 edition of **Generalized convexity and vector optimization** found in the catalog.

- 385 Want to read
- 38 Currently reading

Published
**2009**
by Springer in Berlin
.

Written in English

- Vector spaces,
- Vektoroptimierung,
- Konvexität,
- Mathematical optimization,
- Convexity spaces,
- Convex functions

**Edition Notes**

Includes bibliographical references and index.

Statement | Shashi Kant Mishra, Shou-Yang Wang, Kin Keung Lai |

Series | Nonconvex optimization and its applications -- v. 90, Nonconvex optimization and its applications -- v. 90. |

Contributions | Wang, Shou-Yang, Lai, Kin Keung |

Classifications | |
---|---|

LC Classifications | QA402.5 .M568 2009 |

The Physical Object | |

Pagination | ix, 294 p. ; |

Number of Pages | 294 |

ID Numbers | |

Open Library | OL25169278M |

ISBN 10 | 3540856706, 3540856714 |

ISBN 10 | 9783540856702, 9783540856719 |

LC Control Number | 2008936488 |

OCLC/WorldCa | 260209260 |

Convex Optimization — Boyd & Vandenberghe 3. Convex functions • basic properties and examples • operations that preserve convexity • the conjugate function • quasiconvex functions • log-concave and log-convex functions • convexity with respect to generalized inequalities 3–1. Category 2: Convex and Nonsmooth Optimization (Generalized Convexity/Monoticity) Category 3: Nonlinear Optimization (Constrained Nonlinear Optimization) Citation: C. Günther and C. Tammer, On generalized-convex constrained multi-objective optimization, Pure and Applied Functional Analysis, Volume 3, Number 3, Pages , (see http.

Publisher Summary. The theory of vector optimization is at the crossroads of many subjects. The terms “minimum,” “maximum,” and “optimum” are in line with a mathematical tradition while words such as “efficient” or “non-dominated” find a larger use in business-related chapter discusses the limitation to optimality notion, but with some guiding principle. Pages in category "Generalized convexity" The following 7 pages are in this category, out of 7 total. This list may not reflect recent changes ().

Generalized (Phi, Rho)-convexity in nonsmooth vector optimization over cones In this paper, new classes of cone-generalized (Phi,Rho)-convex functions are introduced for a nonsmooth vector optimization problem over cones, which subsume several known studied classes. Concentrates on recognizing and solving convex optimization problems that arise in engineering. Convex sets, functions, and optimization problems. Basics of convex analysis. Least-squares, linear and quadratic programs, semidefinite programming, minimax, extremal volume, and other problems. Optimality conditions, duality theory, theorems of alternative, and applications.

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The present book discusses the Kuhn-Tucker Optimality, Karush-Kuhn-Tucker Necessary and Sufficient Optimality Conditions in presence of various types of generalized convexity assumptions. Wolfe-type Duality, Mond-Weir type Duality, Mixed type Duality for Multiobjective optimization problems such as Nonlinear programming problems, Fractional.

Request PDF | Generalized Convexity in Vector Optimization | In this chapter we introduce the notion of convexity and generalized convexity including invexity for vector valued functions. Some. Generalized convexity and vector optimization.

[Shashi Kant Mishra; Shouyang Wang; Kin Keung Lai] This book discusses the Kuhn-Tucker Optimality, Karush-Kuhn-Tucker Necessary and Sufficient Optimality Conditions in presence of various types of. Dinh The L.

() Generalized Convexity in Vector Optimization. In: Hadjisavvas N., Komlósi S., Schaible S. (eds) Handbook of Generalized Convexity and Generalized Monotonicity. Nonconvex Optimization and Its Applications, vol Get this from a library. Generalized convexity and vector optimization.

[Shashi Kant Mishra; Shouyang Wang; Kin Keung Lai] -- Discusses the Kuhn-Tucker Optimality, Karush-Kuhn-Tucker Necessary and Sufficient Optimality Conditions in presence of various types of generalized convexity assumptions.

This book also discusses. Convexifactors, generalized convexity and vector optimization Article in Optimization 53(1) February with 38 Reads How we measure 'reads'. Preview this book» What people are Proper Efficiency and Generalized Convexity in Nonsmooth Vector Optimization Problems.

Generalized Convexity and Generalized Monotonicity: Proceedings of the 6th International Symposium on Generalized Convexity/Monotonicity, Samos, September 5. Generalized convexity in fuzzy vector optimization.

Some classes of convex and generalized convex fuzzy mappings were introduced in, which were based on the ranking valued function τ: F C → R.

In this paper, we provide sufficient optimality condition through the properties of the fuzzy vector by: Generalized convexity and vector optimization Shashi Kant Mishra, Shou-Yang Wang, Kin Keung Lai.

The present book discusses the Kuhn-Tucker Optimality, Karush-Kuhn-Tucker Necessary and Sufficient Optimality Conditions in presence of various types of generalized convexity assumptions. Wolfe-type Duality, Mond-Weir type Duality, Mixed type.

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.

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Invited Addresses; Invited Paper Sessions; Contributed Paper. Generalized Convexity And Vector Optimization (nonconvex Optimization And Its Applications) by Shashi K. Mishra / / English / PDF. Read Online MB Download. and a good reference book. This book may be useful to theoretical economists, engineers, and applied researchers involved in this area of active research.

Studies in generalized convexity and generalized monotonicity have significantly increased during the last two decades. Researchers with very diverse backgrounds such as mathematical programming, optimization theory, convex analysis, nonlinear analysis, nonsmooth analysis, linear algebra, probability theory, variational inequalities, game theory, economic theory, Price: $ Approximate convexity in vector optimisation - Volume 74 Issue 2 - Anjana Gupta, Aparna Mehra, Davinder Bhatia H.

and Tavan, Y. Nonsmooth Multiobjective Problems and Generalized Vector Variational Inequalities Using Quasi-Efficiency. Journal Vivek On minty variational principle for nonsmooth vector optimization problems with Cited by: Generalized Convexity, Generalized Monotonicity: Recent Results by Jean-Pierre Crouzeix,available at Book Depository with free delivery worldwide.

The Working Group on Generalized Convexity (WGGC) was founded during the 15th International Symposium on Mathematical Programming in Ann Arbor (Michigan, U.S.A.), August It is a growing, interdisciplinary group of scholars from operations research, economics, engineering, applied sciences, mathematics, statistics, among others, with an.

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A feature has, and her TV contains her in selected data and great years of feed.3/5. Generalized Convexity and Optimization: Theory and Applications. Alberto Cambini, Laura Martein. The authors have written a rigorous yet elementary and self-contained book to present, in a unified framework, generalized convex functions.

The book also includes numerous exercises and two appendices which list the findings consulted. Generalized Convexity, Generalized Monotonicity and Applications: Generalized convexity and monotonicity are now considered as an independent branch of applied mathematics with a wide range of applications in mechanics, economics, engineering, finance and many others.

Minty Variational Inequality and Optimization: Scalar and Vector Case Price: $. Convex optimization is a subfield of mathematical optimization that studies the problem of minimizing convex functions over convex classes of convex optimization problems admit polynomial-time algorithms, whereas mathematical optimization is in general NP-hard.

Convex optimization has applications in a wide range of disciplines, such as automatic control .Vector Optimization Theorem of the alternative The positive orthant Overview on Generalized Convexity and Vector Optimization Fabián Flores-Bazán1 1Departamento de Ingeniería Matemática, Universidad de Concepción fﬂores(at) 2nd Summer SchoolGCM9 Department of Applied Mathematics National Sun Yat-sen University.Generalized.

Convexity to Vector Optimization 99 For pseudoconvex functions, no known criteria exist using epigraph or level sets. Extrema of Generalized Convex Functions For convex functions, it is known [13] that any local minimum is global.

This property is very important in optimization since most existing theoretical and computationalFile Size: 1MB.