Properties of the Preisach model for hysteresis.
Properties WORTH and WORTH, embeddings in Banach spaces with 1-unconditional basis and wFPP.
Property P in G-metric spaces.
Proximal normal structure and relatively nonexpansive mappings
The notion of proximal normal structure is introduced and used to study mappings that are "relatively nonexpansive" in the sense that they are defined on the union of two subsets A and B of a Banach space X and satisfy ∥ Tx-Ty∥ ≤ ∥ x-y∥ for all x ∈ A, y ∈ B. It is shown that if A and B are weakly compact and convex, and if the pair (A,B) has proximal normal structure, then a relatively nonexpansive mapping T: A ∪ B → A ∪ B satisfying (i) T(A) ⊆ B and T(B) ⊆ A, has a proximal point in the sense that...
Proximinality in geodesic spaces.
Pseudo-contractive mappings and the Leray-Schauder boundary condition
Pseudo-Monotone Operators in Banach Spaces and Nonlinear Elliptic Equations.
Pseudomonotonicity and nonlinear hyperbolic equations
In this paper we consider a nonlinear hyperbolic boundary value problem. We show that this problem admits weak solutions by using a lifting result for pseudomonotone operators and a surjectivity result concerning coercive and monotone operators.
Purely imaginary eigenvalues of operator semigroups.