-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.
Maximal semigroups dominated by 0-1 matrices.
Maximality principle and general results of Ekeland and Caristi types without lower semicontinuity assumptions in cone uniform spaces with generalized pseudodistances.
Mean value theorem for convex functionals
Measure of noncompactness of operators and matrices on the spaces and .
Measure of non-compactness of operators interpolated by the real method
We study the measure of non-compactness of operators between abstract real interpolation spaces. We prove an estimate of this measure, depending on the fundamental function of the space. An application to the spectral theory of linear operators is presented.
Measure of noncompactness of subsets of Lebesgue spaces
Measure of nonhyperconvexity and fixed-point theorems.
Measure of weak noncompactness under complex interpolation
Logarithmic convexity of a measure of weak noncompactness for bounded linear operators under Calderón’s complex interpolation is proved. This is a quantitative version for weakly noncompact operators of the following: if T: A₀ → B₀ or T: A₁ → B₁ is weakly compact, then so is for all 0 < θ < 1, where and are interpolation spaces with respect to the pairs (A₀,A₁) and (B₀,B₁). Some formulae for this measure and relations to other quantities measuring weak noncompactness are established.
Measures of noncircularity and fixed points of contractive multifunctions.
Measures of noncompactness and normal structure in Banach spaces
Sufficient conditions for normal structure of a Banach space are given. One of them implies reflexivity for Banach spaces with an unconditional basis, and also for Banach lattices.