Let be nonnegative, continuous, convex functionals on and be a nonnegative, continuous, concave functionals on, and be a nonnegative continuous functionals on.
Let and be nonnegative continuous convex functionals on, let be a nonnegative continuous concave functional on, and let be a nonnegative continuous functional on.
t ∈ [ 0, 1 ], α ≢ 0, and let g : R → R be a nonnegative continuous function.
Theorem 3.5 Let f ( t, u ) be a nonnegative continuous function on [ 0, 1 ] × R +.
Let (f t,u)) be a nonnegative continuous function on ([0,1]timesmathbb{R}^).
Let be given and let be a nonnegative continuous concave functional on.
(xin [a,b]), (gammanotequiv0), and let (g:mathbb{R}rightarrowmathbb{R}) be a nonnegative continuous function.
Let and be nonnegative continuous convex functionals on a cone, be a nonnegative continuous concave functional on, and be a nonnegative continuous functional on satisfying for, such that for some positive numbers and (25).
Let and be nonnegative continuous convex functionals on, let be a nonnegative continuous concave functional on, and let be a nonnegative continuous functional on satisfying for, such that for some positive numbers and, (2.19).
Let γ and θ be nonnegative continuous convex functionals on K, α be a nonnegative continuous concave functional on K, and ψ be a nonnegative continuous functional on K.
Let γ and θ be nonnegative continuous convex functions on P, α be a nonnegative continuous concave function on P, and ψ be a nonnegative continuous function on P.
