Sentence examples for be a multifunction and from inspiring English sources

Let S, V be topological spaces, let (F Sto2^{V}) be a multifunction, and let (x_{0}in S).

Definition 4.2 Let T : X → 2 X be a multifunction, and let α, η : X × X → R + be two functions, where η is bounded.

Let (F Jtimes Erightarrow P_{ck}(E)) be a multifunction and (g_{i}:[t_{i},s_{i}]times Erightarrow E, i=1,2,ldots,m).

Let X, Y be two topological vector spaces, A be a nonempty subset of X, F : A → 2 Z be a multifunction and C ⊂ Y be a nonempty closed convex cone.

Let X, Y be two topological vector spaces, A be a nonempty subset of X, F : A → 2 Y be a multifunction and C ⊂ Y be a nonempty closed convex cone.

Let X, Y be two topological vector spaces, A is a nonempty subset of X, and F : A → 2 Y be a multifunction; and C ⊂ Y is a nonempty, closed, and convex cone.

If is a multifunction and, then (4.1).

where D p c denotes the Caputo fractional derivative of order p, I q the Riemann-Liouville fractional integral of order q, F : [ 0, 1 ] × R → 2 R is a multifunction and a, b, c are real constants with a η 1 + γ ≠ − b Γ ( γ + 2 ).

Let be a nonempty set, let be an almost -convex subset of an abstract convex uniform space, let and be two topological spaces, and let be a multifunction.

Let ((X,p)) be a complete partial metric space and (T:Xrightarrow C X)) be a multifunction.

Let S be a separable metric space, and let (F Ttimes Xto2^{S}) be a multifunction with nonempty complete values.