An Hp Inequality for Strongly Singular Integrals.
An identity for reproducing kernels in a planar domain and Hilbert-Schmidt Hankel operators.
An identity with generalized derivations on Lie ideals, right ideals and Banach algebras
Let be a prime ring of characteristic different from , the Utumi quotient ring of , the extended centroid of , a non-central Lie ideal of , a non-zero generalized derivation of . Suppose that for all , then one of the following holds: (1) there exists such that for all ; (2) satisfies the standard identity and there exist and such that for all . We also extend the result to the one-sided case. Finally, as an application we obtain some range inclusion results of...
An iff fixed point criterion for continuous self-mappings on a complete metric space. (Summary).
An iff fixed point criterion for continuous self-mappings on a complete metric space.
An implicit extragradient method for hierarchical variational inequalities.
An implicit hierarchical fixed-point approach to general variational inequalities in Hilbert spaces.
An implicit iteration method for variational inequalities over the set of common fixed points for a finite family of nonexpansive mappings in Hilbert spaces.
An implicit iterative scheme for an infinite countable family of asymptotically nonexpansive mappings in Banach spaces.
An implicit-function theorem for a class of monotone generalized equations
An improved convergence analysis of a superquadratic method for solving generalized equations.
An improved convergence analysis of Newton's method for twice Fréchet differentiable operators
We develop local and semilocal convergence results for Newton's method in order to solve nonlinear equations in a Banach space setting. The results compare favorably to earlier ones utilizing Lipschitz conditions on the second Fréchet derivative of the operators involved. Numerical examples where our new convergence conditions are satisfied but earlier convergence conditions are not satisfied are also reported.
An improved existence and uniqueness criterion for periodic solutions of a Duffing type p-Laplacian equation.
An improvement of Kaplansky's lemma on locally algebraic operators
An index for global Hopf bifurcation in parabolic systems.
An index formula for chains
We derive a formula for the index of Fredholm chains on normed spaces.
An index formula for the degree of (S)-mappings associated with one-dimensional -Laplacian.
An index theorem for systems of difference operators on a half space
An individual ergodic theorem on the Hilbert space logic
An inequality for spherical Cauchy dual tuples
Let T be a spherical 2-expansive m-tuple and let denote its spherical Cauchy dual. If is commuting then the inequality holds for every positive integer k. In case m = 1, this reveals the rather curious fact that all positive integral powers of the Cauchy dual of a 2-expansive (or concave) operator are hyponormal.