Results 11 to 20 of about 82 (79)

Non-differentiable multiobjective mixed symmetric duality under generalized convexity

open access: yesJournal 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

open access: yesJournal 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   +3 more
doaj   +1 more source

On ε-optimality conditions for multiobjective fractional optimization problems

open access: yesFixed 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

open access: yes, 2009
Multiobjective optimization problems, Constraint qualification, Necessary conditions for Pareto minimum, Lagrange multipliers, Clarke subdifferential, 90C29, 90C46,
B. Jiménez   +3 more
core   +1 more source

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

open access: yesOpen 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   +2 more
doaj   +1 more source

On ε [PDF]

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
Gue Lee   +5 more
core   +1 more source

Generalized derivatives and nonsmooth optimization, a finite dimensional tour

open access: yes, 2005
Convex optimization, nonsmooth analysis, nonsmooth optimization, set-valued maps, variational analysis, mathematical programming, nonconvex programming, nonlinear programming, optimality conditions, second order conditions, tangent cones, normal cones ...
Joydeep Dutta
core   +1 more source

Optimization of Lagrange problem with higher-order differential inclusion and special boundary-value conditions

open access: yesDemonstratio Mathematica
This article concerns about optimality conditions for boundary-value problems related to differential inclusions (DFIs) of higher orders. We intend to attain optimality conditions when a general Lagrange functional takes place in the cost function ...
Yıldırım Uğur   +2 more
doaj   +1 more source

On generalized semi-infinite programming

open access: yes, 2006
Generalized semi-infinite programming, extended Mangasarian-Fromovitz, Kuhn-Tucker and Abadie constraint qualification, Fritz-John condition, first and second order optimality conditions, optimal value function, directional differentiability, second ...
Alfredo Gomez, J   +3 more
core   +1 more source

Approximations of bi-criteria optimization problem

open access: yes, 2018
In this article we study approximation methods for solving bi-criteria optimization problems. Initial problem is approximated by a new one consisting of the second order approximation of feasible set and components of objective function might be initial ...
LUCA, Traian Ionuț, DUCA, Dorel I.
core   +1 more source

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