On sufficient optimality conditions for multiobjective control problems

VA de Oliveira, GN Silva - Journal of Global Optimization, 2016 - Springer
This paper is devoted to presenting optimality conditions for the sufficiency of the maximum
principle for multiobjective optimal control problems with nonsmooth data. Such conditions …

On efficiency conditions for nonsmooth multiobjective fractional bilevel programming with non-locally Lipschitz functions

K Bouibed, H Slimani, MS Radjef - OPSEARCH, 2024 - Springer
In this paper, we consider a nonsmooth nonlinear multiobjective fractional bilevel
programming problem (MFBP) in which the objective function of the upper-level is nonlinear …

Efficiency and duality in nondifferentiable multiobjective programming involving directional derivative

I Ahmad - Applied Mathematics, 2011 - go7publish.com
In this paper, we introduce a new class of generalized dI-univexity in which each component
of the objective and constraint functions is directionally differentiable in its own direction di …

Duality and a characterization of pseudoinvexity for Pareto and weak Pareto solutions in nondifferentiable multiobjective programming

M Arana-Jiménez, G Ruiz-Garzón… - Journal of Optimization …, 2013 - Springer
In this paper, we unify recent optimality results under directional derivatives by the
introduction of new pseudoinvex classes of functions, in relation to the study of Pareto and …

On directionally differentiable multiobjective programming problems with vanishing constraints

T Antczak - Annals of Operations Research, 2023 - Springer
In this paper, a class of directionally differentiable multiobjective programming problems with
inequality, equality and vanishing constraints is considered. Under both the Abadie …

Global efficiency for multiobjective bilevel programming problems under generalized invexity

K Bouibed, H Slimani, MS Radjef - Journal of Applied Mathematics and …, 2017 - Springer
In this paper, we consider a nonlinear optimistic bilevel programming problem
(NMBP)(NMBP) where the upper-level is a vector optimization problem and the lower-level …

Fritz John type optimality and duality in nonlinear programming under weak pseudo-invexity

H Slimani, MS Radjef - RAIRO-Operations Research, 2015 - rairo-ro.org
In this paper, we use a generalized Fritz John condition to derive optimality conditions and
duality results for a nonlinear programming with inequality constraints, under weak invexity …

Multiobjective Fractional Programming Involving Generalized Semilocally V‐Type I‐Preinvex and Related Functions

H Slimani, SK Mishra - International Journal of Mathematics …, 2014 - Wiley Online Library
We study a nonlinear multiple objective fractional programming with inequality constraints
where each component of functions occurring in the problem is considered …

Nonsmooth multiobjective optimization involving generalized univex functions

P Kharbanda, D Agarwal, D Sinha - Opsearch, 2014 - Springer
In this paper, we have considered a class of constrained nonsmooth multi objective
programming problem involving semi-directionally differentiable functions from a view point …

Generalized Fritz John optimality in nonlinear programming in the presence of equality and inequality constraints

H Slimani, MS Radjef - Operational Research, 2016 - Springer
In this paper, we study Fritz John type optimality conditions for constrained nonlinear
programming in which equality and inequality constraints are together present. We introduce …