A general lemma for fixed-point theorems involving more than two maps in -metric spaces with applications.
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 generalisation of a theorem of Koldunov with an elementary proof
We generalize a Theorem of Koldunov [2] and prove that a disjointness proserving quasi-linear operator between Resz spaces has the Hammerstein property.
A generalisation of contraction principle in metric spaces.
A generalization of a fixed point theorem in probabilistic locally convex spaces
A generalization of a fixed point theorem of Ćirić.
A generalization of an Ekeland-Lebourg theorem and the differentiability of distance functions
A generalization of Caristi's fixed point theorem.
A generalization of contraction principle.
A generalization of fixed point theorems in -metric spaces
A generalization of Krasnoseljski's fixed point theorem in probabilistic locally convex spaces
A generalization of Krasnosel’skii fixed point theorem for sums of compact and contractible maps with application
The existence of a fixed point for the sum of a generalized contraction and a compact map on a closed convex bounded set is proved. The result is applied to a kind of nonlinear integral equations.
A generalization of N. Aronszajn's theorem on connectedness of the fixed point set of a compact mapping
A generalization of the interior mapping theorem of Clarke and Pourciau
A generalization of the Opial's theorem
A generalization of the Schauder fixed point theorem via multivalued contractions
We establish a fixed point theorem for a continuous function , where is a Banach space and . Our result, which involves multivalued contractions, contains the classical Schauder fixed point theorem as a special case. An application is presented.
A generalization of Yano's extrapolation theorem
A generalized Amman's fixed point theorem and its application to Nash equlibrium.
A generalized contraction mapping theorem in E-metric spaces