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OPTIMALITY CONDITIONS AND DUALITY IN MULTIOBJECTIVE FRACTIONAL PROGRAMMING INVOLVING RIGHT UPPER-DINI-DERIVATIVE FUNCTIONS.
- Source :
-
Miskolc Mathematical Notes . 2015, Vol. 16 Issue 2, p887-906. 20p. - Publication Year :
- 2015
-
Abstract
- In this paper, we introduce ρ-generalized pseudo and ρ-genera-lized quasi with the tool right upper-Dini-derivative and illustrated these by non-trivial examples. Necessary and sufficient optimality conditions are obtained for a nonlinear multiobjective fractional programming problem involving some classes of generalized convexities with the tool-right upper-Dini-derivative. Furthermore, usual duality theorems are proved for a general dual problem using the concept of generalized convex functions. Our results generalize and extend the several results appeared in the literature. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 17872405
- Volume :
- 16
- Issue :
- 2
- Database :
- Academic Search Index
- Journal :
- Miskolc Mathematical Notes
- Publication Type :
- Academic Journal
- Accession number :
- 113221465
- Full Text :
- https://doi.org/10.18514/MMN.2015.1087