On a class of variational-type inequalities involving curvilinear integral functionals

Optimization ◽  
2021 ◽  
pp. 1-19
Author(s):  
Savin Treană ◽  
Shipra Singh ◽  
Anurag Jayswal
Keyword(s):  
Integral Functionals ◽  
Curvilinear Integral ◽  
Variational Type

scholarly journals Duality Results in Quasiinvex Variational Control Problems with Curvilinear Integral Functionals

Mathematics ◽  
2019 ◽  
Vol 7 (9) ◽  
pp. 811 ◽  
Author(s):  
Cipu
Keyword(s):  
Control Problems ◽  
Integral Functionals ◽  
Converse Duality ◽  
Duality Results ◽  
Curvilinear Integral

In this paper, we formulate and prove weak, strong and converse duality results invariational control problems involving (ρ,b)-quasiinvex path-independent curvilinear integralcost functionals.

scholarly journals On a Class of Isoperimetric Constrained Controlled Optimization Problems

Axioms ◽  
2021 ◽  
Vol 10 (2) ◽  
pp. 112
Author(s):  
Savin Treanţă
Keyword(s):  
Boundary Conditions ◽  
Control Problem ◽  
Optimality Conditions ◽  
Optimization Problems ◽  
Necessary Optimality Conditions ◽  
Control Problems ◽  
Integral Functionals ◽  
Curvilinear Integral ◽  
The One ◽  
Theoretical Results

In this paper, we investigate the Lagrange dynamics generated by a class of isoperimetric constrained controlled optimization problems involving second-order partial derivatives and boundary conditions. More precisely, we derive necessary optimality conditions for the considered class of variational control problems governed by path-independent curvilinear integral functionals. Moreover, the theoretical results presented in the paper are accompanied by an illustrative example. Furthermore, an algorithm is proposed to emphasize the steps to be followed to solve a control problem such as the one studied in this paper.

scholarly journals On a Dual Pair of Multiobjective Interval-Valued Variational Control Problems

Mathematics ◽  
2021 ◽  
Vol 9 (8) ◽  
pp. 893
Author(s):  
Savin Treanţă
Keyword(s):  
Optimization Problems ◽  
Dual Pair ◽  
Control Problems ◽  
Integral Functionals ◽  
Duality Theorems ◽  
Converse Duality ◽  
New Class ◽  
Duality Results ◽  
Curvilinear Integral ◽  
Interval Valued

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 interval-valued components. More concretely, we formulate and prove weak, strong, and converse duality theorems under (ϱ,ψ,ω)-quasiinvexity hypotheses for the considered class of optimization problems.

scholarly journals Perpetual integral functionals of multidimensional stochastic processes

Stochastics ◽  
2021 ◽  
pp. 1-12
Author(s):  
Yuri Kondratiev ◽  
Yuliya Mishura ◽  
José L. da Silva
Keyword(s):  
Stochastic Processes ◽  
Integral Functionals
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