On Robust Saddle-Point Criterion in Optimization Problems with Curvilinear Integral Functionals [PDF]
Mathematics, 2021 In this paper, we introduce a new class of multi-dimensional robust optimization problems (named (P)) with mixed constraints implying second-order partial differential equations (PDEs) and inequations (PDIs).
Savin Treanţă, Koushik Das
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Duality Results in Quasiinvex Variational Control Problems with Curvilinear Integral Functionals [PDF]
Mathematics, 2019 In this paper, we formulate and prove weak, strong and converse duality results in variational control problems involving ( ρ , b ) -quasiinvex path-independent curvilinear integral cost functionals.
Elena-Corina Cipu
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Analysis of variational inequalities with fractional curvilinear integral functionals
Results in Applied MathematicsThis study examines weak sharp solutions for a category of variational inequalities incorporating functionals based on fractional curvilinear integrals, expanding the conventional approach with concepts from fractional calculus. Furthermore, by using the
Octavian Postavaru +2 more
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On Some Constrained Optimization Problems [PDF]
Mathematics, 2022 By using appropriate methods of variational analysis, the necessary conditions of optimality are established for new classes of constrained optimization problems involving multiple and curvilinear integral functionals.
Savin Treanţă +3 more
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Results on the Existence of Solutions Associated with Some Weak Vector Variational Inequalities [PDF]
Fractal and Fractional, 2022 In this paper, by considering the notions of the invex set, Fréchet differentiability, invexity and pseudoinvexity for the involved functionals of curvilinear integral type, we establish some relations between the solutions of a class of weak vector ...
Savin Treanţă
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Duality Results for a Class of Constrained Robust Nonlinear Optimization Problems [PDF]
Mathematics, 2022 In this paper, we establish various results of duality for a new class of constrained robust nonlinear optimization problems. For this new class of problems, involving functionals of (path-independent) curvilinear integral type and mixed constraints ...
Savin Treanţă, Tareq Saeed
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On Weak Variational Control Inequalities via Interval Analysis [PDF]
Mathematics, 2023 This paper deals with the connections between the interval-valued optimal control problem and the associated weak variational control inequality. More precisely, by considering the (strictly) LU-convexity and path independence properties of the involved ...
Savin Treanţă, Tareq Saeed
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Optimality for Control Problem with PDEs of Second-Order as Constraints [PDF]
Mathematics, 2022 This paper deals with a class of second-order partial differential equation (in short, PDE) constrained optimal control problems. More specifically, by using appropriate variational techniques, we state necessary conditions of optimality associated with ...
Savin Treanţă +2 more
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Connections between Non-Linear Optimization Problems and Associated Variational Inequalities [PDF]
Mathematics, 2023 In this paper, by using the invexity (or pseudoinvexity) and Fréchet differentiability of some integral functionals of curvilinear type, we state some relations between the solutions of a new non-linear optimization problem and the associated variational
Savin Treanţă +2 more
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On a Dual Pair of Multiobjective Interval-Valued Variational Control Problems [PDF]
Mathematics, 2021 In this paper, by using the new concept of (ϱ,ψ,ω)-quasiinvexity associated with interval-valued path-independent curvilinear integral functionals, we establish some duality results for a new class of multiobjective variational control problems with ...
Savin Treanţă
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