Weak Sharp Minima in Mathematical Programming
نویسندگان
چکیده
منابع مشابه
Weak Sharp Minima in Multicriteria Linear Programming
In this short note, we study the existence of weak sharp minima in multicriteria linear programming. It is shown that weak sharp minimality holds for certain residual functions and gap functions.
متن کاملWeak sharp minima in multiobjective optimization
We extend some necessary and sufficient conditions for strict local Pareto minima of orderm obtained by Jiménez (2002) to the case of weak ψ-sharp local Pareto minima, i.e., to the case when the local solution is not necessarily unique.
متن کاملWeak Sharp Minima on Riemannian Manifolds
This is the first paper dealing with the study of weak sharp minima for constrained optimization problems on Riemannian manifolds, which are important in many applications. We consider the notions of local weak sharp minima, boundedly weak sharp minima, and global weak sharp minima for such problems and establish their complete characterizations in the case of convex problems on finite-dimensio...
متن کاملWeak Sharp Minima in Set-Valued Optimization Problems
and Applied Analysis 3 x0, y0 ∈ L StrD F, S resp., x0, y0 ∈ LW MinD F, S , if there exists a neighborhood U of x0 in X such that y0 ∈ StrD F U ∩ S ( resp., y0 ∈ W minD F U ∩ S ) , that is, ∀x ∈ S∩U, F x − y0 ∩ −D\{0} ∅ resp. ∀x ∈ S∩U, F x − y0 ∩ − intD ∅. 2.4 We will say that x0, y0 is a global strict global weak minimizers when U X. The set of all global strict minimizers resp., weak minimizer...
متن کاملEquivalent properties of global weak sharp minima with applications
* Correspondence: [email protected] Department of Mathematics, School of Science, Shandong University of Technology, Zibo, 255049, China Full list of author information is available at the end of the article Abstract In this paper, we study the concept of weak sharp minima using two different approaches. One is transforming weak sharp minima to an optimization problem; another is using conju...
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: SIAM Journal on Control and Optimization
سال: 1993
ISSN: 0363-0129,1095-7138
DOI: 10.1137/0331063