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.
An Inequality Involving a Hermitian Operator and its Square in a Normed Space
An inexact proximal-type method for the generalized variational inequality in Banach spaces.
An infinite family of joint spectra
An infinite level atom coupled to a heat bath.
An inquiry-based method for Choquet integral-based aggregation of interface usability parameters
The concept of usability of man-machine interfaces is usually judged in terms of a number of aspects or attributes that are known to be subject to some rough correlations, and that are in many cases given different importance, depending on the context of use of the application. In consequence, the automation of judgment processes regarding the overall usability of concrete interfaces requires the design of aggregation operators that are capable of modeling approximate or ill-defined interactions...