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DUALITY FOR NONLINEAR FRACTIONAL PROGRAMMING INVOLVING GENERALIZED ρ-SEMILOCALLY b-PREINVEX FUNCTIONS
| Content Provider | Semantic Scholar |
|---|---|
| Author | Stancu-Minasian, Ioan M. Stancu, Andreea Madalina |
| Copyright Year | 2008 |
| Abstract | We consider a nonlinear fractional programming problem with inequality constraints, where the functions involved are ρ-semilocally b-preinvex, ρ-semilocally explicitly b-preinvex, ρ-semilocally quasi b-preinvex, ρ-semilocally pseudo bpreinvex and ρ-semi-locally strongly pseudo b-preinvex functions. Necessary optimality conditions are obtained in terms of the right derivative of a function along one direction. Wolfe and Mond-Weir type duals are associated, and weak, direct and strict converse duality are established. Our results generalize those obtained by Lyall, Suneja and Aggarwal [7], Patel [9], Stancu-Minasian [14], [16] and Stancu-Minasian and Andreea Mădălina Stancu [17], [18]. |
| File Format | PDF HTM / HTML |
| Alternate Webpage(s) | http://csm.ro/reviste/Revue_Mathematique/pdfs/2007/5/stancu.pdf |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
