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- Title
ON NONSMOOTH MULTIOBJECTIVE FRACTIONAL PROGRAMMING PROBLEMS INVOLVING (p, r) - ρ - (η, θ) - INVEX FUNCTIONS.
- Authors
JAYSWAL, Anurag; Kumar PRASAD, Ashish; STANCU-MINASIAN, I. M.
- Abstract
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) - ρ - (η, θ)-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.
- Subjects
NONSMOOTH optimization; FRACTIONAL programming; LIPSCHITZ spaces; MATHEMATICS theorems; MULTIPLE criteria decision making
- Publication
Yugoslav Journal of Operations Research, 2013, Vol 23, Issue 3, p367
- ISSN
0354-0243
- Publication type
Article
- DOI
10.2298/YJOR130131012J