Generalized Convexity, Generalized Monotonicity and Applications Pro
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 application
- PDF / 6,781,342 Bytes
- 342 Pages / 432 x 648 pts Page_size
- 45 Downloads / 327 Views
Nonconvex Optimization and Its Applications Volume 77 Managing Editor: Panos Pardalos University of Florida, U.S.A. Advisory Board: J. R. Birge University of Michigan, U.S.A. Ding-Zhu Du University of Minnesota, U.S.A. C. A. Floudas Princeton University, U.S.A. J. Mockus Lithuanian Academy of Sciences, Lithuania H. D. Sherali Virginia Polytechnic Institute and State University, U.S.A. G. Stavroulakis Technical University Braunschweig, Germany H.Tuy National Centre for Natural Science and Technology, Vietnam
GENERALIZED CONVEXITY, GENERALIZED MONOTONICITY AND APPLICATIONS Proceedings of the International Symposium on Generalized Convexity and Generalized Monotonicity
Edited by ANDREW EBERHARD RMIT University, Australia NICOLAS HADJISAVVAS University of the Aegean, Greece DINH THE LUC University of Avignon, France
Springer
eBook ISBN: Print ISBN:
0-387-23639-2 0-387-23638-4
©2005 Springer Science + Business Media, Inc. Print ©2005 Springer Science + Business Media, Inc. Boston All rights reserved No part of this eBook may be reproduced or transmitted in any form or by any means, electronic, mechanical, recording, or otherwise, without written consent from the Publisher Created in the United States of America
Visit Springer's eBookstore at: and the Springer Global Website Online at:
http://ebooks.kluweronline.com http://www.springeronline.com
Contents
Preface
ix
Part I INVITED PAPERS 1 Algebraic Dynamics of Certain Gamma Function Values J.M. Borwein and K. Karamanos
3
2 (Generalized) Convexity and Discrete Optimization Rainer E. Burkard
23
3 Lipschitzian Stability of Parametric Constraint Systems in Infinite Dimensions Boris S. Mordukhovich
39
4 Monotonicity in the Framework of Generalized Convexity Hoang Tuy
61
Part II
CONTRIBUTED PAPERS
5 89 On the Contraction and Nonexpansiveness Properties of the Marginal Mappings in Generalized Variational Inequalities Involving co-Coercive Operators Pham Ngoc Anh, Le Dung Muu, Van Hien Nguyen and Jean-Jacques Strodiot 6 A Projection-Type Algorithm for Pseudomonotone Nonlipschitzian Multivalued Variational Inequalities T. Q. Bao and P. Q. Khanh
113
7 Duality in Multiobjective Optimization Problems with Set Constraints Riccardo Cambini and Laura Carosi
131
vi
GENERALIZED CONVEXITY AND MONOTONICITY
8 Duality in Fractional Programming Problems with Set Constraints Riccardo Cambini, Laura Carosi and Siegfried Schaible
147
9 On the Pseudoconvexity of the Sum of two Linear Fractional Functions Alberto Cambini, Laura Martein and Siegfried Schaible
161
10 Bonnesen-type Inequalities and Applications A. Raouf Chouikha
173
11 Characterizing Invex and Related Properties B. D. Craven
183
12 Minty Variational Inequality and Optimization: Scalar and Vector Case Giovanni P. Crespi, Angelo Guerraggio and Matteo Rocca
193
13 Second Order Optimality Conditions for Nonsmooth Multiobjective Optimization Problems Giovanni P. Crespi, Davide La Torre and Matteo Rocca 14 Second Order Subdifferentials Constructed using Integral Convolutions Smoothing Andrew Eberh
Data Loading...
