Optimality conditions are proved for a class of generalized fractional minimax programming problems involving B-(p, r)-invexity functions. Subsequently, these optimality conditions are utilized as a basis for constructing various duality models for this type of fractional programming problems and pr
On Minimax Fractional Optimality Conditions with Invexity
✍ Scribed by J.C Liu; C.S Wu
- Publisher
- Elsevier Science
- Year
- 1998
- Tongue
- English
- Weight
- 177 KB
- Volume
- 219
- Category
- Article
- ISSN
- 0022-247X
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✦ Synopsis
Under different forms of invexity conditions, sufficient Kuhn᎐Tucker conditions and three dual models are presented for the minimax fractional programming.
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## Abstract We derive Euler–Lagrange‐type equations for fractional action‐like integrals of the calculus of variations which depend on the Riemann–Liouville derivatives of order (α, β), α>0, β>0, recently introduced by Cresson. Some interesting consequences are obtained and discussed. Copyright © 2