On nonsmooth multiobjective fractional programming problems involving (p, r)− ρ −(η ,θ)- invex functions
| Autor: | I. M. Stancu-Minasian, Anurag Jayswal, Ashish Kumar Prasad |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2013 |
| Předmět: |
(p
r)−ρ−(η θ)-invexity Pure mathematics Class (set theory) Mathematical analysis duality theorems Management Science and Operations Research Lipschitz continuity Dual (category theory) Generalized gradient Fractional programming multiobjective fractional programming efficiency Clarke gradient lcsh:T58.6-58.62 Order (group theory) lcsh:Management information systems Mathematics sufficient optimality conditions |
| Zdroj: | Yugoslav Journal of Operations Research, Vol 23, Iss 3, Pp 367-386 (2013) |
| ISSN: | 0354-0243 |
| Popis: | A class of multiobjective fractional programming problems (MFP) is considered where the involved functions are locally Lipschitz. In order to deduce our main results, we introduce the definition of (p,r)?? ?(?,?)-invex class about the Clarke generalized gradient. Under the above invexity assumption, sufficient conditions for optimality are given. Finally, three types of dual problems corresponding to (MFP) are formulated, and appropriate dual theorems are proved. |
| Databáze: | OpenAIRE |
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