A degree for a class of acyclic-valued vector fields in Banach spaces
A general semilocal convergence result for Newton’s method under centered conditions for the second derivative
From Kantorovich’s theory we present a semilocal convergence result for Newton’s method which is based mainly on a modification of the condition required to the second derivative of the operator involved. In particular, instead of requiring that the second derivative is bounded, we demand that it is centered. As a consequence, we obtain a modification of the starting points for Newton’s method. We illustrate this study with applications to nonlinear integral equations of mixed Hammerstein type.
A general semilocal convergence result for Newton’s method under centered conditions for the second derivative
From Kantorovich’s theory we present a semilocal convergence result for Newton’s method which is based mainly on a modification of the condition required to the second derivative of the operator involved. In particular, instead of requiring that the second derivative is bounded, we demand that it is centered. As a consequence, we obtain a modification of the starting points for Newton’s method. We illustrate this study with applications to nonlinear...
A generalization of an Ekeland-Lebourg theorem and the differentiability of distance functions
A generalization of the interior mapping theorem of Clarke and Pourciau
A generalization of Yano's extrapolation theorem
A new method for the obtaining of eigenvalues of variational inequalities of the special type (Preliminary communication)
A nonlinear Banach-Steinhaus theorem and some meager sets in Banach spaces
We establish a Banach-Steinhaus type theorem for nonlinear functionals of several variables. As an application, we obtain extensions of the recent results of Balcerzak and Wachowicz on some meager subsets of L¹(μ) × L¹(μ) and c₀ × c₀. As another consequence, we get a Banach-Mazurkiewicz type theorem on some residual subset of C[0,1] involving Kharazishvili's notion of Φ-derivative.
A note on fixed point theorem of Schauder type with applications
A note on geometric characterization of Fréchet differentiability
A note on singular points of convex functions in Banach spaces
A proof of the inverse function theorem
A strong convergence in and upper -continuous operators
Adjungiertenbildungen in der Operatortheorie.
An application of averaging operators to multilinearity.
An application of the Hahn-Banach theorem in convex analysis
An Existence Theorem for Class of Non-Coercive Optimization and Variational Problems.
An Iteration Scheme for Boundary Value-Alternative Problems.
Application of Rothe's method to perturbed linear hyperbolic equations and variational inequalities
Approximation of fixed points of asymptotically demicontractive mappings in arbitrary Banach spaces.