An extragradient method and proximal point algorithm for inverse strongly monotone operators and maximal monotone operators in Banach spaces.
An extragradient method for fixed point problems and variational inequality problems.
An extragradient method for mixed equilibrium problems and fixed point problems.
An implicit extragradient method for hierarchical variational inequalities.
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 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 index formula for the degree of (S)-mappings associated with one-dimensional -Laplacian.
An inexact proximal-type method for the generalized variational inequality in Banach spaces.
An intermediate value theorem in ordered Banach spaces
We prove an intermediate value theorem for certain quasimonotone increasing functions in ordered Banach spaces, under the assumption that each nonempty order bounded chain has a supremum.
An inverse function theorem for Frechet spaces
An iteration for finding a common random fixed point.
An iteration method for nonexpansive mappings in Hilbert spaces.
An iteration process for nonlinear mappings in uniformly convex linear metric spaces
We obtain necessary conditions for convergence of the Cauchy Picard sequence of iterations for Tricomi mappings defined on a uniformly convex linear complete metric space.
An iterative algorithm for mixed equilibrium problems and variational inclusions approach to variational inequalities.
An iterative algorithm for two asymptotically pseudocontractive mappings.
An iterative algorithm of solution for quadratic minimization problem in Hilbert spaces.
An iterative approximation method for a countable family of nonexpansive mappings in Hilbert spaces.
An iterative method for an infinite family of nonexpansive mappings in Hilbert spaces.
An iterative method for computing zeros of operators satisfying autonomous differential equations.