[图书][B] Set-valued optimization
AA Khan, C Tammer, C Zalinescu - 2016 - Springer
Set-valued optimization is a vibrant and expanding branch of applied mathematics that
deals with optimization problems where the objective map and/or the constraint maps are …
deals with optimization problems where the objective map and/or the constraint maps are …
[图书][B] Vector optimization
J Jahn - 2009 - Springer
The continuous and increasing interest concerning vector optimization perceptible in the
research community, where contributions dealing with the theory of duality abound lately …
research community, where contributions dealing with the theory of duality abound lately …
[图书][B] Vector optimization with infimum and supremum
A Löhne - 2011 - books.google.com
The theory of Vector Optimization is developed by a systematic usage of infimum and
supremum. In order to get existence and appropriate properties of the infimum, the image …
supremum. In order to get existence and appropriate properties of the infimum, the image …
Set optimization—a rather short introduction
Recent developments in set optimization are surveyed and extended including various set
relations as well as fundamental constructions of a convex analysis for set-and vector …
relations as well as fundamental constructions of a convex analysis for set-and vector …
Benson type algorithms for linear vector optimization and applications
New versions and extensions of Benson's outer approximation algorithm for solving linear
vector optimization problems are presented. Primal and dual variants are provided in which …
vector optimization problems are presented. Primal and dual variants are provided in which …
A dual variant of Benson's “outer approximation algorithm” for multiple objective linear programming
Outcome space methods construct the set of nondominated points in the objective (outcome)
space of a multiple objective linear programme. In this paper, we employ results from …
space of a multiple objective linear programme. In this paper, we employ results from …
Characterization of set relations through extensions of the oriented distance
In the framework of normed spaces ordered by a convex cone not necessarily solid, we
consider two set scalarization functions of type sup-inf, which are extensions of the oriented …
consider two set scalarization functions of type sup-inf, which are extensions of the oriented …
A duality theory for set-valued functions I: Fenchel conjugation theory
AH Hamel - Set-Valued and Variational Analysis, 2009 - Springer
It is proven that a proper closed convex function with values in the power set of a
preordered, separated locally convex space is the pointwise supremum of its set-valued …
preordered, separated locally convex space is the pointwise supremum of its set-valued …
Scalarizations for a set optimization problem using generalized oriented distance function
Khushboo, CS Lalitha - Positivity, 2019 - Springer
The aim of this paper is to establish scalarizations for minimal and weak minimal solutions of
a set optimization problem using generalized oriented distance function introduced by …
a set optimization problem using generalized oriented distance function introduced by …
Solution concepts in vector optimization: a fresh look at an old story
F Heyde, A Löhne - Optimization, 2011 - Taylor & Francis
Over the past decades various solution concepts for vector optimization problems have been
established and used: among them are efficient, weakly efficient and properly efficient …
established and used: among them are efficient, weakly efficient and properly efficient …