Abstract
AbstractIn this paper, we introduce a necessary and sufficient condition of optimality for a new class of multidimensional optimal control problems governed by path‐independent curvilinear integral functionals and mixed constraints involving first‐order partial differential equations (PDEs) of m‐flow type. Furthermore, as a consequence, we establish the equivalence between the class of (strongly) b‐invex functionals and the class of (strongly) b‐pseudoinvex functionals. The mathematical development in the paper is supported by illustrative examples, as well.
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