Efficient and weak efficient points in vector optimization with generalized cone convexity
نویسندگان
چکیده
منابع مشابه
Zero Weights in Weak Efficient and Inefficient Points with AHP
In this paper an approach in data envelopment analysis dealing with evaluation of non – zero slacks was propounded. This approach intends that weight of inefficient and weak efficient points that have been evaluated as zero weight, be considered as positive weight, and also in this approach, the pareto efficiency evaluates the picture of this point. In this approach positive weights in the i...
متن کاملDuality in Vector Optimization in Banach Spaces with Generalized Convexity
We consider a vector optimization problem with functions defined on Banach spaces. A few sufficient optimality conditions are given and some results on duality are proved. Mathematics Subject Classifications. 90C46, 49K27, 93C25.
متن کاملOn a Nonsmooth Vector Optimization Problem with Generalized Cone Invexity
and Applied Analysis 3 Definition 2.2 see 16 . Let ψ : R → R be a locally Lipschitz function, then ψ◦ u;v denotes Clarke’s generalized directional derivative of ψ at u ∈ R in the direction v and is defined as ψ◦ u;v lim sup y→u t→ 0 ψ ( y tv ) − ψ(y) t . 2.4 Clarke’s generalized gradient of ψ at u is denoted by ∂ψ u and is defined as ∂ψ u { ξ ∈ R | ψ◦ u;v ≥ 〈ξ, v〉, ∀v ∈ Rn}. 2.5 Let f : R → R b...
متن کاملVector critical points and generalized quasi-efficient solutions in nonsmooth multi-objective programming
In this work, several extended approximately invex vector-valued functions of higher order involving a generalized Jacobian are introduced, and some examples are presented to illustrate their existences. The notions of higher-order (weak) quasi-efficiency with respect to a function are proposed for a multi-objective programming. Under the introduced generalization of higher-order approximate in...
متن کاملVector Optimization Problems and Generalized Vector Variational-Like Inequalities
In this paper, some properties of pseudoinvex functions, defined by means of limiting subdifferential, are discussed. Furthermore, the Minty vector variational-like inequality, the Stampacchia vector variational-like inequality, and the weak formulations of these two inequalities defined by means of limiting subdifferential are studied. Moreover, some relationships between the vector vari...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Applied Mathematics Letters
سال: 2003
ISSN: 0893-9659
DOI: 10.1016/s0893-9659(03)80035-6