A general duality principle for the sum of two operators.
A general iterative algorithm for generalized mixed equilibrium problems and variational inclusions approach to variational inequalities.
A general iterative approach to variational inequality problems and optimization problems.
A general iterative method for equilibrium problems and fixed point problems in Hilbert spaces.
A general iterative method for solving the variational inequality problem and fixed point problem of an infinite family of nonexpansive mappings in Hilbert spaces.
A general iterative method for variational inequality problems, mixed equilibrium problems, and fixed point problems of strictly pseudocontractive mappings in Hilbert spaces.
A general iterative method of fixed points for mixed equilibrium problems and variational inclusion problems.
A general iterative process for solving a system of variational inclusions in Banach spaces.
A general projection method for a system of relaxed cocoercive variational inequalities in Hilbert 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 general separation theorem for mappings, saddle-points duality and conjugate functions
A general vector-valued variational inequality and its fuzzy extension.
A Generalisation of Régula Falsi.
A generalization of Edelstein's theorem on fixed points and applications.
A generalization of Krasnoseljski's fixed point theorem in probabilistic locally convex spaces
A generalization of the interior mapping theorem of Clarke and Pourciau
A generalization of the Landesman-Lazer condition.
A generalization of the maximal entropy method for solving ill-posed problems.
A generalization of the Opial's theorem