KT‐pseudoinvex multidimensional control problem

S Treanţă, M Arana‐Jiménez - Optimal Control Applications …, 2018 - Wiley Online Library
In this paper, we define a Kuhn‐Tucker (KT)–pseudoinvex multidimensional control
problem. More exactly, we introduce a new condition on the functions, which are involved in …

KT-invex control problem

M Arana-Jiménez, R Osuna-Gómez… - Applied mathematics …, 2008 - Elsevier
In this paper, we introduce a new condition on functions of a control problem, for which we
define a KT-invex control problem. We prove that a KT-invex control problem is …

On a class of interval-valued optimization problems

S Treanţă - Continuum Mechanics and Thermodynamics, 2022 - Springer
In this paper, we introduce the interval-valued KT-pseudoinvex variational control problems
involving multiple integral objective functionals. Specifically, a new condition of generalized …

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 …

LU-optimality conditions in optimization problems with mechanical work objective functionals

S Treanţă - IEEE Transactions on Neural Networks and …, 2021 - ieeexplore.ieee.org
In this article, we introduce interval-valued Kuhn–Tucker (KT)-pseudoinvex optimization
problems governed by interval-valued path-independent curvilinear integral objective …

KT-invexity in optimal control problems

VA de Oliveira, GN Silva, MA Rojas-Medar - Nonlinear Analysis: Theory …, 2009 - Elsevier
We extend the notion of KT-invexity from mathematical programming to the classical optimal
control problem and show that this generalized invexity property is not only a sufficient …

On equivalence between a variational problem and its modified variational problem with the η‐objective function under invexity

A Jayswal, T Antczak, S Jha - International Transactions in …, 2019 - Wiley Online Library
In this paper, a new approach to analyze optimality and saddle‐point criteria for a new class
of nonconvex variational problems involving invex functions is studied. Namely, the modified …

On convergence of exponential penalty for the multi-dimensional variational problems

A Jayswal, A Baranwal - RAIRO-Operations Research, 2023 - rairo-ro.org
In this article, we describe a method to deal with a multi-dimensional variational problem
with inequality constraints using an exponential penalty function. We formulate an …

A necessary and sufficient condition for duality in multiobjective variational problems

M Arana-Jiménez, G Ruiz-Garzón… - European journal of …, 2010 - Elsevier
In this paper we move forward in the study of duality and efficiency in multiobjective
variational problems. We introduce new classes of pseudoinvex functions, and prove that …

New optimality conditions for nonsmooth control problems

VA de Oliveira, GN Silva - Journal of Global Optimization, 2013 - Springer
This work considers nonsmooth optimal control problems and provides two new sufficient
conditions of optimality. The first condition involves the Lagrange multipliers while the …