A Topological Degree for Generalized A-Proper Mappings

Abstract:

      In this paper, a class of mappings-generalized A-proper mappings is introduced and a topological degree for it is established. The properties of the topological degree are same as for A-proper mappings. The concepts of "p point generalized A-proper mappings and degree" are introduced. By the alternating theorem for mappings of (M) types in this paper, mappings of (M) types might be directly studied by using topological degree for generalized A-proper.On the other hand, if let X and X^* be a pair of real separable reflexive Banach space. Suppose that X has the property (h)(cf[6]) and X^* is strictly convex. We introduce following