Generalized Preinvexity and Second Order Duality in Multiobjective Programming
This book introduces readers to several new generalized preinvex functions and generalized invariant monotone functions. It begins by describing the main properties of these functions and various relations. Several examples are then presented to illustrate various interesting relationships among pre...
Saved in:
| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Singapore :
Springer Singapore ,
2018.
|
| Edition: | 1st ed. 2018. |
| Series: | Springer Optimization and Its Applications,
142 |
| Subjects: | |
| ISBN: | 9789811319815 |
| ISSN: | 1931-6828 ; |
| Online Access: |
|
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Summary: | This book introduces readers to several new generalized preinvex functions and generalized invariant monotone functions. It begins by describing the main properties of these functions and various relations. Several examples are then presented to illustrate various interesting relationships among preinvex functions and the properly inclusive relations among the generalized invariant monotonicities. In addition, several second order and higher order symmetric duality models are provided for multi-objective nonlinear programming problems. Lastly, weak and strong duality theorems under generalized convexity assumptions are provided. The book offers a well-synthesized, accessible, and usable treatment for students, researchers and practitioners in the areas of OR, optimization, applied mathematics and engineering, and all those working on a wide range of related problems, which include financial institutions, logistics, transportation, traffic management, etc. |
|---|---|
| Item Description: | Mathematics and Statistics |
| Physical Description: | XII, 167 p. 4 illus. online resource. |
| ISBN: | 9789811319815 |
| ISSN: | 1931-6828 ; |