Optimality conditions for multiple objective fractional subset programming with (ρ,σ,θ)-type-I and related non-convex functions
Optimality conditions for multiple objective fractional subset programming with (ρ,σ,θ)-type-I and related non-convex functions
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(ρ,σ,θ)-I 型及相关非凸函数的多目标分数子集规划的最优性条件
DOI：
10.1007/s10092-011-0050-0
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发表时间：
2008
期刊：
影响因子：
1.7
通讯作者：
K. Lai
中科院分区：
文献类型：
--
作者：
S. K. Mishra;Shouyang Wang;K. Lai
本文引入了一类广义不变凸集函数，称为(ρ，σ，θ)-I型函数和相关的非凸函数，并在上述假设下建立了原问题的一些参数和半参数充分最优性条件。这项工作部分地扩展了Mishra等人早期的工作。(数学。方法OPER。决议67,493-504,2008)到更广泛的功能类别。
In this paper, we introduce a class of generalized invexn-set functions, called (ρ,σ,θ)-type-I and related non-convex functions, and then establish a number of parametric and semi-parametric sufficient optimality conditions for the primal problem under the aforesaid assumptions. This work partially extends an earlier work of Mishra et al. (Math. Methods Oper. Res. 67, 493–504, 2008) to a wider class of functions.