Abstract
In this paper, a modified interval-valued variational control problem involving first-order partial differential equations (PDEs) and inequality constraints is investigated. Specifically, under some generalized convexity assumptions, we formulate and prove LU-optimality conditions for the considered interval-valued variational control problem. In order to illustrate the main results and their effectiveness, an application is provided.
Highlights
In recent years, saddle-point optimality criteria and the modified objective function method in optimization problems have been investigated
In this paper, taking into account the applications of interval analysis in various fields and motivated and inspired by the above mentioned works, we extend the previous studies for a new class of interval-valued variational control problems with mixed constraints involving first-order partial differential equations (PDEs)
Based on a class of interval-valued variational control problems recently introduced by Treanţă [11], we formulate and prove LU-optimality conditions in the considered first-order PDE-constrained modified interval-valued variational control problem
Summary
Saddle-point optimality criteria and the modified objective function method in optimization problems have been investigated. In this regard, we mention the works of Sposito and. In this paper, taking into account the applications of interval analysis in various fields and motivated and inspired by the above mentioned works, we extend the previous studies for a new class of interval-valued variational control problems with mixed constraints involving first-order partial differential equations (PDEs). Based on a class of interval-valued variational control problems recently introduced by Treanţă [11], we formulate and prove LU-optimality conditions in the considered first-order PDE-constrained modified interval-valued variational control problem.
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