An application of averaging operators to multilinearity.
An application of fixed point theorems in best approximation theory.
An application of hybrid steepest descent methods for equilibrium problems and strict pseudocontractions in Hilbert spaces.
An application of KKM-map principle.
An application of newton iteration procedure to -adic differential equations
An application of the Hahn-Banach theorem in convex analysis
An application of the Leray-Schauder degree theory to boundary value problem for third and fourth order differential equations depending on the parameter
An application of the nonselfadjoint operators theory in the study of stochastic processes.
An Application of the Stiefel-Whitney Classes to the Proof of a Fixed Point Theorem for Set-Valued Mappings
We prove a fixed point theorem for Borsuk continuous mappings with spherical values, which extends a previous result. We apply some nonstandard properties of the Stiefel-Whitney classes.
An Application of the Theorem of Rudin to the Toeplitz Operators on Odd Spheres.
An application to Kato's square root problem.
An approximate method for determination of eigenvalues and eigenvectors of self-adjoint operators
An approximation method for continuous pseudocontractive mappings.
An Approximation Method in Asymptotic Fixed Point Theory.
An approximation of solutions of variational inequalities.
An approximation procedure for fixed points of strongly Lipschitz operators.
An approximation property with respect to an operator ideal
Given an operator ideal , we say that a Banach space X has the approximation property with respect to if T belongs to for every Banach space Y and every T ∈ (Y,X), being the topology of uniform convergence on compact sets. We present several characterizations of this type of approximation property. It is shown that some of the existing approximation properties in the literature may be included in this setting.
An approximation theorem for semigroups of operators
An approximative solution of the generalized eigenvalue problem
An Atkinson-type theorem for B-Fredholm operators
Let X be a Banach space and let T be a bounded linear operator acting on X. Atkinson's well known theorem says that T is a Fredholm operator if and only if its projection in the algebra L(X)/F₀(X) is invertible, where F₀(X) is the ideal of finite rank operators in the algebra L(X) of bounded linear operators acting on X. In the main result of this paper we establish an Atkinson-type theorem for B-Fredholm operators. More precisely we prove that T is a B-Fredholm operator if and only if its projection...