and Applied Analysis 3 0 in any metric linear spaces. Let X,Λ,M, Y be metric linear spaces. Let Y ∗ be the topological dual space of Y . Let C ⊂ Y be a pointed, closed, and convex cone with intC/ ∅, where intC denotes the interior of C. Let C∗ : {f ∈ Y ∗ : f y ≥ 0, for all y ∈ C} be the dual cone of C. Since intC/ ∅, the dual cone C∗ of C has a weak∗ compact base. Letting e ∈ intC be given, the...

A refined single-valued/interval neutrosophic set is very suitable for the expression and application of decision-making problems with both attributes and sub-attributes since it is described by its refined truth, indeterminacy, and falsity degrees. However, existing refined single-valued/interval neutrosophic similarity measures and their decision-making methods are scarcely studied in existin...

After introducing the concept of functional dissipativity Dirichlet problem in a domain ??RN for systems partial differential operators form ?h(Ahk(x)?k) (Ahk(x) being m×m matrices with complex valued L? entries), we find necessary and sufficient conditions two-dimensional Lamé system. As an application our theory provide two regularity results displacement vector N-dimensional equilibrium prob...

In this paper, the concept of pseudoconvexity and quasiconvexity for continuous~-time functions are studied and an equivalence condition for pseudoconvexity is obtained. Moreover, under pseudoconvexity assumptions, some relationships between Minty and Stampacchia vector variational inequalities and continuous-time programming problems are presented. Finally, some characterizations of the soluti...

We review the literature on approximate dynamic programming, with the goal of better understanding the theory behind practical algorithms for solving dynamic programs with continuous and vector-valued states and actions and complex information processes. We build on the literature that has addressed the well-known problem of multidimensional (and possibly continuous) states, and the extensive l...