Lipschitzian superposition operators on metric semigroups and abstract convex cones of mappings of finite -variation.
Local analysis of a cubically convergent method for variational inclusions
This paper deals with variational inclusions of the form 0 ∈ φ(x) + F(x) where φ is a single-valued function admitting a second order Fréchet derivative and F is a set-valued map from to the closed subsets of . When a solution z̅ of the previous inclusion satisfies some semistability properties, we obtain local superquadratic or cubic convergent sequences.
Local asymptotic stability for nonlinear quadratic functional integral equations.
Local expansions and accretive mappings.
Local Lipschitz continuity of the stop operator
On a closed convex set in with sufficiently smooth () boundary, the stop operator is locally Lipschitz continuous from into . The smoothness of the boundary is essential: A counterexample shows that -smoothness is not sufficient.
Local operators and a characterization of the Volterra operator.
Local uniform linear convexity with respect to the Kobayashi distance.
Locally admissible multi-valued maps
In this paper we generalize the class of admissible mappings as due by L. Górniewicz in 1976. Namely we define the notion of locally admissible mappings. Some properties and applications to the fixed point problem are presented.
Locally bounded spaces of vector functions and nonlinear operators therein.
L-sets and the Pelczynski-Pitt theorem.
-convexity and best approximation.
Mann iterates of directionally nonexpansive mappings in hyperbolic spaces.
Mann iteration converges faster than Ishikawa iteration for the class of Zamfirescu operators.
Mann type implicit iteration approximation for multivalued mappings in Banach spaces.
Maps preserving convergence of series
Maps preserving numerical radius distance on C*-algebras
We characterize surjective nonlinear maps Φ between unital C*-algebras 𝒜 and ℬ that satisfy w(Φ(A)-Φ(B))) = w(A-B) for all A,B ∈ 𝒜 under a mild condition that Φ(I) - Φ(0) belongs to the center of ℬ, where w(A) is the numerical radius of A and I is the unit of 𝒜.
Maximal elements and equilibria of generalized games for -majorized and condensing correspondences.
Maximal monotone mappings in banach spaces
Maximal monotone relations and the second derivatives of nonsmooth functions
Maximal Monotonicity of Operators with Sufficiently Large Domain and Application to the Hartree Problem.