SENSITIVITY ANALYSIS OF PARAMETRIC VECTOR SET-VALUED OPTIMIZATION PROBLEMS VIA CODERIVATIVES
نویسندگان
چکیده
منابع مشابه
Lower semicontinuity for parametric set-valued vector equilibrium-like problems
A concept of weak $f$-property for a set-valued mapping is introduced, and then under some suitable assumptions, which do not involve any information about the solution set, the lower semicontinuity of the solution mapping to the parametric set-valued vector equilibrium-like problems are derived by using a density result and scalarization method, where the constraint set $K$...
متن کاملLagrange multipliers for set - valued optimization problems associated with coderivatives ✩
In this paper we investigate a vector optimization problem (P) where objective and constraints are given by set-valued maps. We show that by mean of marginal functions and suitable scalarizing functions one can characterize certain solutions of (P) as solutions of a scalar optimization problem (SP) with single-valued objective and constraint functions. Then applying some classical or recent res...
متن کاملlower semicontinuity for parametric set-valued vector equilibrium-like problems
a concept of weak $f$-property for a set-valued mapping is introduced, and then under some suitable assumptions, which do not involve any information about the solution set, the lower semicontinuity of the solution mapping to the parametric set-valued vector equilibrium-like problems are derived by using a density result and scalarization method, where the constraint set $k$...
متن کاملOptimality conditions for various efficient solutions involving coderivatives: from set-valued optimization problems to set-valued equilibrium problems
In this paper, we present a new approach to the study of various efficient solutions of a set-valued equilibrium problem (for short, SEP) through the study of corresponding solutions of a set-valued optimization problem with a geometric constraint (for short, SOP). The solutions under consideration are: efficient solutions, weakly efficient solutions, strongly efficient solutions, and properly ...
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: Taiwanese Journal of Mathematics
سال: 2011
ISSN: 1027-5487
DOI: 10.11650/twjm/1500406484