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.
-functions on quasimetric spaces and fixed points for multivalued maps.
Quadratic optimization of fixed points for a family of nonexpansive mappings in Hilbert space.
Quantification of the reciprocal Dunford-Pettis property
We prove in particular that Banach spaces of the form C₀(Ω), where Ω is a locally compact space, enjoy a quantitative version of the reciprocal Dunford-Pettis property.
Quasicone metric spaces and generalizations of Caristi Kirk's theorem.
Quasi-constricted linear operators on Banach spaces
Let X be a Banach space over ℂ. The bounded linear operator T on X is called quasi-constricted if the subspace is closed and has finite codimension. We show that a power bounded linear operator T ∈ L(X) is quasi-constricted iff it has an attractor A with Hausdorff measure of noncompactness for some equivalent norm ||·||₁ on X. Moreover, we characterize the essential spectral radius of an arbitrary bounded operator T by quasi-constrictedness of scalar multiples of T. Finally, we prove that every...
Quasicontraction mappings in modular spaces without -condition.
Quasicontraction nonself-mappings on convex metric spaces and common fixed point theorems.
Quasi-Contractions In Banach Spaces
Quasi-convex functions and quasi-monotone operators.
Quasi-retractive representation of solution sets to stochastic inclusions.
Quelques aspects de la théorie des points fixes dans les espaces de Banach - II
Quelques aspects de la théorie des points fixes dans les espaces de Banach - I