Degree theory for monotone type mappings in non-reflexive Banach spaces

Let E be a real separable Banach space, E ∗ the dual space of E , and Ω ⊂ E an open bounded subset, and let T : D ( T ) ⊆ E → 2 E ∗ be a mapping of class ( S + ) L with D ( T ) ∩ Ω ⁄ = 0̸ see Definition 1.2. A degree theory is constructed for such a mapping.