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KT‐pseudoinvex multidimensional control problem
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 …
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 …
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 …
involving multiple integral objective functionals. Specifically, a new condition of generalized …
On sufficient optimality conditions for multiobjective control problems
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 …
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 …
problems governed by interval-valued path-independent curvilinear integral objective …
KT-invexity in optimal control problems
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 …
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
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 …
of nonconvex variational problems involving invex functions is studied. Namely, the modified …
On convergence of exponential penalty for the multi-dimensional variational problems
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 …
with inequality constraints using an exponential penalty function. We formulate an …
A necessary and sufficient condition for duality in multiobjective variational problems
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 …
variational problems. We introduce new classes of pseudoinvex functions, and prove that …
New optimality conditions for nonsmooth control problems
This work considers nonsmooth optimal control problems and provides two new sufficient
conditions of optimality. The first condition involves the Lagrange multipliers while the …
conditions of optimality. The first condition involves the Lagrange multipliers while the …