Results 21 to 30 of about 152,676 (293)
Optimality criteria in set-valued optimization [PDF]
Journal of the Australian Mathematical Society, 2003 AbstractThe main aim of this paper is to obtain optimality conditions for a constrained set-valued optimization problem. The concept of Clarke epiderivative is introduced and is used to derive necessary optimality conditions. In order to establish sufficient optimality criteria we introduce a new class of set-valued maps which extends the class of ...
Lalitha, C. S. +2 more
openaire +1 more source
Using ρ-cone arcwise connectedness on parametric set-valued optimization problems
Journal of Inequalities and Applications, 2022 Within the inquiry about work, we explore a parametric set-valued optimization problem, where the objective as well as constraint maps are set-valued.
Koushik Das, Mohammad Esmael Samei
doaj +1 more source
Set-Valued T-Translative Functions and Their Applications in Finance
Mathematics, 2021 A theory for set-valued functions is developed, which are translative with respect to a linear operator. It is shown that such functions cover a wide range of applications, from projections in Hilbert spaces, set-valued quantiles for vector-valued random
Andreas H. Hamel, Frank Heyde
doaj +1 more source
Solving ill-posed bilevel programs [PDF]
, 2016 This paper deals with ill-posed bilevel programs, i.e., problems admitting multiple lower-level solutions for some upper-level parameters. Many publications have been devoted to the standard optimistic case of this problem, where the difficulty is ...
Zemkoho, Alain B., Alain B. Zemkoho
core +1 more source
Strict Efficiency in Set-Valued Optimization
SIAM Journal on Control and Optimization, 2009 In this paper, we develop the notion of a $\phi$-minimizer (or strict efficiency) for a set-valued map. Its properties and relations with other similar notions are studied. In special circumstances, under suitable conditions, we prove that a point is a $\phi$-minimizer of a vector function if and only if it is a $\phi$-minimizer of a certain family of ...
Fabián Flores Bazán +1 more
openaire +5 more sources
Mathematics, 2022 In this paper, by using the normal subdifferential and equilibrium-like function we first obtain some properties for K-preinvex set-valued maps. Secondly, in terms of this equilibrium-like function, we establish some sufficient conditions for the ...
Lu-Chuan Ceng +2 more
doaj +1 more source
Journal of Inequalities and Applications, 2018 In this paper, firstly, a new property of the cone subpreinvex set-valued map involving the generalized contingent epiderivative is obtained. As an application of this property, a sufficient optimality condition for constrained set-valued optimization ...
Wang Chen, Zhiang Zhou
doaj +1 more source
A steepest descent method for set optimization problems with set-valued mappings of finite cardinality [PDF]
, 2021 In this paper, we study a first-order solution method for a particular class of set optimization problems where the solution concept is given by the set approach.
Bouza, Gemayqzel +2 more
core +1 more source
Weak Sharp Minima in Set-Valued Optimization Problems
Abstract and Applied Analysis, 2012 We introduce the notion of a weak ψ-sharp minimizer for set-valued optimization problems. We present some sufficient and necessary conditions that a pair point is a weak ψ-sharp minimizer through the outer limit of set-valued map and develop the ...
Ming-hao Jin, Jun-xiang Wang, Shu Xu
doaj +1 more source
Strict Benson proper-ε-efficiency in vector optimization with set-valued maps [PDF]
Yugoslav Journal of Operations Research, 2015 In this paper the notion of Strict Benson proper-ε-efficient solution for a vector optimization problem with set-valued maps is introduced. The scalarization theorems and ε-Lagrangian multiplier theorems are established under the assumption of ...
Suneja Kaur Surjeet, Sharma_ Megha
doaj +1 more source