In this paper, we consider a class of nonsmooth multiobjective fractional programming problems in which functions are locally Lipschitz. We establish generalized Karush-Kuhn-Tucker necessary and sufficient optimality conditions and derive duality theorems for nonsmooth multiobjective fractional prog
Multiobjective Programming under Generalized Type I Invexity
โ Scribed by Morgan A. Hanson; Rita Pini; Chanchal Singh
- Publisher
- Elsevier Science
- Year
- 2001
- Tongue
- English
- Weight
- 115 KB
- Volume
- 261
- Category
- Article
- ISSN
- 0022-247X
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โฆ Synopsis
In this paper we extend a (scalarized) generalized type-I invexity into a vector invexity (V-type I). A number of sufficiency results are established using Lagrange multiplier conditions and under various types of generalized V-type I requirements. Weak, strong, and converse duality theorems are proved in the generalized V-invexity type I setting.
๐ SIMILAR VOLUMES
The problem of optimizing a real-valued function over the weakly efficient set associated to a multiobjective program is examined. Two types of necessary conditions for suboptimizing the solution of the general problem are presented, ลฝ which are somewhat similar to Theorem 4.1 of S.
In this paper, we establish some sufficient conditions under which a feasible solution of such a problem will be Pareto optimal provided that a weaker convexity requirement is satisfied; for ลฝ . instance แฃ, , -convexity is assumed for both objective and constraint set functions. Some duality models
## Abstract Chen and Bhattacharyya [Exact confidence bounds for an exponential parameter under hybrid censoring, Commun Statist Theory Methods 17 (1988), 1857โ1870] considered a hybrid censoring scheme and obtained the exact distribution of the maximum likelihood estimator of the mean of an exponen