An extension of Horn's theorem for a space of locally integrable functions.
An extension of invertibility of Hammerstein-type operators
My aim is to show that some properties, proved to be true for the square matrices, are true for some not necessarily linear operators on a linear space, in particular, for Hammerstein-type operators.
An extension of Kirk-Schöneberg theorem to uniform spaces
An extension of Kirk - Schöneberg surjectivity result is established.
An extension of the auxiliary problem principle to nonsymmetric auxiliary operators
An Extension of the Auxiliary Problem Principle to Nonsymmetric Auxiliary Operators
To find a zero of a maximal monotone operator, an extension of the Auxiliary Problem Principle to nonsymmetric auxiliary operators is proposed. The main convergence result supposes a relationship between the main operator and the nonsymmetric component of the auxiliary operator. When applied to the particular case of convex-concave functions, this result implies the convergence of the parallel version of the Arrow-Hurwicz algorithm under the assumptions of Lipschitz and partial Dunn properties...
An extension of the topological degree in Hilbert space.
An extragradient approximation method for equilibrium problems and fixed point problems of a countable family of nonexpansive mappings.
An extragradient approximation method for variational inequality problem on fixed point problem of nonexpensive mappings and monotone mappings
We introduce an iterative sequence for finding the common element of the set of fixed points of a nonexpansive mapping and the solutions of the variational inequality problem for tree inverse-strongly monotone mappings. Under suitable conditions, some strong convergence theorems for approximating a common element of the above two sets are obtained. Moreover, using the above theorem, we also apply to finding solutions of a general system of variational inequality and a zero of a maximal monotone...
An extragradient iterative scheme by viscosity approximation methods for fixed point problems and variational inequality problems
In this paper, we introduce a new iterative process for finding the common element of the set of fixed points of a nonexpansive mapping and the set of solutions of the variational inequality problem for an α-inverse-strongly-monotone, by combining an modified extragradient scheme with the viscosity approximation method. We prove a strong convergence theorem for the sequences generated by this new iterative process.
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 iff fixed point criterion for continuous self-mappings on a complete metric space. (Summary).
An iff fixed point criterion for continuous self-mappings on a complete metric space.
An implicit hierarchical fixed-point approach to general variational inequalities in Hilbert spaces.
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 implicit-function theorem for a class of monotone generalized equations
An improved convergence analysis of a superquadratic method for solving generalized equations.
An index for global Hopf bifurcation in parabolic systems.