Results 11 to 20 of about 96 (88)

Non-differentiable multiobjective mixed symmetric duality under generalized convexity

Journal of Inequalities and Applications, 2011
The objective of this paper is to obtain a mixed symmetric dual model for a class of non-differentiable multiobjective nonlinear programming problems where each of the objective functions contains a pair of support functions.
Li Jueyou, Gao Ying
doaj   +1 more source

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

Journal of Inequalities and Applications, 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 ...
Kailey N, Gupta SK, Ahmad Izhar, Agarwal Ravi   +3 more
doaj   +1 more source

On ε-optimality conditions for multiobjective fractional optimization problems

Fixed Point Theory and Applications, 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
Kim Gwi, Lee Gue, Kim Moon
doaj   +1 more source

Strong Kuhn–Tucker conditions and constraint qualifications in locally Lipschitz multiobjective optimization problems

, 2009
Multiobjective optimization problems, Constraint qualification, Necessary conditions for Pareto minimum, Lagrange multipliers, Clarke subdifferential, 90C29, 90C46,
B. Jiménez, G. Giorgi, V. Novo, GIORGI, GIORGIO   +3 more
core   +1 more source

A note on the existence of the power investor’s optimizer

, 2009
Incomplete markets, Convex duality, Change of measure, CRRA preferences, 91B28, 90C46, 60G44, G11, D81,
Kasper Larsen
core   +1 more source

On the Duality of Semiantichains and Unichain Coverings

, 2016
International audienceWe study a min-max relation conjectured by Saks and West: For any two posets P and Q the size of a maximum semiantichain and the size of a minimum unichain covering in the product P × Q are equal. For positive we state conditions on
Felsner, Stefan, Bosek, Bartłomiej, Matecki, Grzegorz, Knauer, Kolja   +3 more
core   +3 more sources

Characterizations of minimal elements of upper support with applications in minimizing DC functions

Open Mathematics
In this study, we discuss on the problem of minimizing the differences of two non-positive valued increasing, co-radiant and quasi-concave (ICRQC) functions defined on XX (where XX is a real locally convex topological vector space).
Mirzadeh Somayeh, Barsam Hasan, Ciurdariu Loredana   +2 more
doaj   +1 more source

Duality and optimality conditions for generalized equilibrium problems involving DC functions

, 2009
Equilibrium problems, Duality, Fenchel conjugation, DC functions, Variational inequalities, 49N15, 58E35, 90C26, 90C46,
N. Dinh, J. Strodiot, V. Nguyen, V. H. Nguyen, J. J. Strodiot   +4 more
core   +1 more source

On ε [PDF]

, 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
Gue Lee, Moon Kim, Gwi Soo Kim, Gue Myung Lee, Gwi Kim, Moon Hee Kim   +5 more
core   +1 more source

On the use of Jordan Algebras for improving global convergence of an Augmented Lagrangian method in nonlinear semidefinite programming

, 2021
Jordan Algebras are an important tool for dealing with semidefinite programming and optimization over symmetric cones in general. In this paper, a judicious use of Jordan Algebras in the context of sequential optimality conditions is done in order to ...
R. Andreani, E. H. Fukuda, G. Haeser, L. D. Secchin, D. O. Santos, Secchin, Leornardo Delarmelina   +5 more
core   +1 more source