Name: Generalized Convexity and Related Topics
ISBN: 978-3-540-37007-9

Authors:

(view affiliations)

Igor V. Konnov,
Dinh The Luc,
Alexander M. Rubinov

Part of the book series: Lecture Notes in Economics and Mathematical Systems (LNE, volume 583)

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Table of contents
Keywords
Authors and Affiliations
Bibliographic Information

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Table of contents (27 papers)

Front Matter

Pages I-IX

PDF
Invited Papers
1. Front Matter
  
  Pages 1-1
  
  PDF
2. Combined Relaxation Methods for Generalized Monotone Variational Inequalities
  
  Igor V. Konnov
  
  Pages 3-31
3. Abstract Convexity and the Monge-Kantorovich Duality
  
  Vladimir L. Levin
  
  Pages 33-72
4. Optimality Conditions and Duality for Multiobjective Programming Involving (C, α, ρ, d) type-I Functions
  
  Dehui Yuan, Altannar Chinchuluun, Xiaoling Liu, Panos M. Pardalos
  
  Pages 73-87
Contributed Papers
1. Front Matter
  
  Pages 89-89
  
  PDF
2. Partitionable Variational Inequalities with Multi-valued Mappings
  
  Elisabetta Allevi, Adriana Gnudi, Igor V. Konnov
  
  Pages 91-100
3. Almost Convex Functions: Conjugacy and Duality
  
  Radu Ioan Boţ, Sorin-Mihai Grad, Gert Wanka
  
  Pages 101-114
4. Pseudomonotonicity of a Linear Map on the Interior of the Positive Orthant
  
  Alberto Cambini, Laura Martein
  
  Pages 115-131
5. An Approach to Discrete Convexity and Its Use in an Optimal Fleet Mix Problem
  
  Riccardo Cambini, Rossana Riccardi1, Ümit Yüceer
  
  Pages 133-148
6. A Unifying Approach to Solve a Class of Parametrically-Convexifiable Problems
  
  Riccardo Cambini, Claudio Sodini
  
  Pages 149-166
7. Mathematical Programming with (Φ, ρ)-invexity
  
  Giuseppe Caristi, Massimiliano Ferrara, Anton Stefanescu
  
  Pages 167-176
8. Some Classes of Pseudoconvex Fractional Functions via the Charnes-Cooper Transformation
  
  Laura Carosi, Laura Martein
  
  Pages 177-188
9. Equilibrium Problems Via the Palais-Smale Condition
  
  Ouayl Chadli, Zaki Chbani, Hassan Riahi
  
  Pages 189-207
10. Points of Efficiency in Vector Optimization with Increasing-along-rays Property and Minty Variational Inequalities
  
  Giovanni P. Crespi, Ivan Ginchev, Matteo Rocca
  
  Pages 209-226
11. Higher Order Properly Efficient Points in Vector Optimization
  
  Ivan Ginchev, Angelo Guerraggio, Matteo Rocca
  
  Pages 227-245
12. Higher-order Pseudoconvex Functions
  
  Ivan Ginchev, Vsevolod I. Ivanov
  
  Pages 247-264
13. Sufficient Optimality Conditions and Duality in Nonsmooth Multiobjective Optimization Problems under Generalized Convexity
  
  Giorgio Giorgi, Bienvenido Jiménez, Vicente Novo
  
  Pages 265-278
14. Optimality Conditions for Tanaka’s Approximate Solutions in Vector Optimization
  
  César Gutiérrez, Bienvenido Jiménez, Vicente Novo
  
  Pages 279-295
15. On the Work of W. Oettli in Generalized Convexity and Nonconvex Optimization — a Review and Some Perspectives
  
  Joachim Gwinner
  
  Pages 297-314

Keywords

Economics
Generalized Convexity
Generalized Monotonicity
Management
Optimality Conditions
Vector optimization
multi-objective optimization
operations research
optimization

Authors and Affiliations

Department of Applied Mathematics, Kazan University, Kazan, Russia

Igor V. Konnov
Department de Mathematiques, Avignon, France

Dinh The Luc
SITMS, University of Ballarat, Australia

Alexander M. Rubinov

Bibliographic Information

Book Title: Generalized Convexity and Related Topics
Authors: Igor V. Konnov, Dinh The Luc, Alexander M. Rubinov
Series Title: Lecture Notes in Economics and Mathematical Systems
DOI: https://doi.org/10.1007/978-3-540-37007-9
Publisher: Springer Berlin, Heidelberg
eBook Packages: Business and Economics, Economics and Finance (R0)
Copyright Information: Springer-Verlag Berlin Heidelberg 2006
Softcover ISBN: 978-3-540-37006-2
eBook ISBN: 978-3-540-37007-9
Series ISSN: 0075-8442
Series E-ISSN: 2196-9957
Edition Number: 1
Number of Pages: IX, 472
Topics: Economics, Mathematics, Operations Research and Decision Theory, Quantitative Economics, Optimization, Game Theory

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Table of contents (27 papers)

Front Matter

Invited Papers

Front Matter

Contributed Papers

Front Matter

Keywords

Authors and Affiliations

Department of Applied Mathematics, Kazan University, Kazan, Russia

Department de Mathematiques, Avignon, France

SITMS, University of Ballarat, Australia

Bibliographic Information

Buying options