Results 21 to 30 of about 514 (86)

Solving multistage quantified linear optimization problems with the alpha–beta nested Benders decomposition

open access: yesEURO Journal on Computational Optimization, 2015
Quantified linear programs (QLPs) are linear programs with variables being either existentially or universally quantified. QLPs are convex multistage decision problems on the one side, and two-person zero-sum games between an existential and a universal ...
Ulf Lorenz, Jan Wolf
doaj   +1 more source

Characterizations of Benson proper efficiency of set-valued optimization in real linear spaces

open access: yesOpen Mathematics, 2019
A new class of generalized convex set-valued maps termed relatively solid generalized cone-subconvexlike maps is introduced in real linear spaces not equipped with any topology.
Liang Hongwei, Wan Zhongping
doaj   +1 more source

Duality in nondifferentiable minimax fractional programming with B-(p, r)- invexity

open access: yes, 2011
In this article, we are concerned with a nondifferentiable minimax fractional programming problem. We derive the sufficient condition for an optimal solution to the problem and then establish weak, strong, and strict converse duality theorems for the ...
I. Ahmad   +3 more
semanticscholar   +1 more source

Total Lagrange duality for DC infinite optimization problems

open access: yesFixed Point Theory and Applications, 2013
We present some total Lagrange duality results for inequality systems involving infinitely many DC functions. By using properties of the subdifferentials of involved functions, we introduce some new notions of constraint qualifications.
D. Fang, Zhe Chen
semanticscholar   +2 more sources

On ε-optimality conditions for multiobjective fractional optimization problems

open access: yes, 2011
A multiobjective fractional optimization problem (MFP), which consists of more than two fractional objective functions with convex numerator functions and convex denominator functions, finitely many convex constraint functions, and a geometric constraint
M. Kim, G. Kim, G. Lee
semanticscholar   +1 more source

A fuzzy semi-infinite optimization problem

open access: yesJournal of Inequalities and Applications, 2014
In this paper, we present a fuzzy semi-infinite optimization problem. Moreover, we will deduce the Fritz-John and Kuhn-Tucker necessary conditions of this problem. Finally, a numerical example is given to illustrate the results. MSC: 90C34, 90C05, 90C70,
A. A. Megahed
semanticscholar   +2 more sources

Higher-order symmetric duality for a class of multiobjective fractional programming problems

open access: yes, 2012
In this paper, a pair of nondifferentiable multiobjective fractional programming problems is formulated. For a differentiable function, we introduce the definition of higher-order (F, α, ρ, d)-convexity, which extends some kinds of generalized convexity,
Gao Ying
semanticscholar   +1 more source

Exact upper and lower bounds on the difference between the arithmetic and geometric means

open access: yes, 2015
Let $X$ denote a nonnegative random variable with $\mathsf{E ...
Pinelis, Iosif
core   +1 more source

On the Aubin property of a class of parameterized variational systems [PDF]

open access: yes, 2017
The paper deals with a new sharp criterion ensuring the Aubin property of solution maps to a class of parameterized variational systems. This class includes parameter-dependent variational inequalities with non-polyhedral constraint sets and also ...
Gfrerer, Helmut, Outrata, Jiří V
core   +3 more sources

Second-order composed contingent epiderivatives and set-valued vector equilibrium problems

open access: yesJournal of Inequalities and Applications, 2014
In this paper, we introduce the concept of a second-order composed contingent epiderivative for set-valued maps and discuss some of its properties.
Qilin Wang   +4 more
semanticscholar   +2 more sources

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