A viscosity hybrid steepest descent method for generalized mixed equilibrium problems and variational inequalities for relaxed cocoercive mapping in Hilbert spaces.
A viscosity of Cesàro mean approximation methods for a mixed equilibrium, variational inequalities, and fixed point problems.
A weak convergence theorem for total asymptotically pseudocontractive mappings in Hilbert spaces.
A weak ergodic theorem for infinite products of Lipschitzian mappings.
Alcune osservazioni sul rango numerico per operatori non lineari
We discuss some numerical ranges for Lipschitz continuous nonlinear operators and their relations to spectral sets. In particular, we show that the spectrum defined by Kachurovskij (1969) for Lipschitz continuous operators is contained in the so-called polynomial hull of the numerical range introduced by Rhodius (1984).
Algorithms of common solutions to generalized mixed equilibrium problems and a system of quasivariational inclusions for two difference nonlinear operators in Banach spaces.
An algorithm for finding a common solution for a system of mixed equilibrium problem, quasivariational inclusion problem, and fixed point problem of nonexpansive semigroup.
An application of hybrid steepest descent methods for equilibrium problems and strict pseudocontractions in Hilbert spaces.
An approximation procedure for fixed points of strongly Lipschitz operators.
An example for a one-parameter nonexpansive semigroup.
An existence theorem for the Urysohn integral equation in Banach spaces
An explicit construction of sunny nonexpansive retractions in Banach spaces.
An extension of Kirk-Schöneberg theorem to uniform spaces
An extension of Kirk - Schöneberg surjectivity result is established.
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 method for fixed point problems and variational inequality problems.
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 IntroduCtion into the Theory of Sequence Spaces and Measures of Noncompactness
An iterative algorithm by viscosity approximation method for mixed equilibrium problems, variational inclusion and fixed point of an infinite family of pseudo-contractive mappings
The purpose of this paper is to investigate the problem of finding a common element of the set of solutions for mixed equilibrium problems, the set of solutions of the variational inclusion problems for inverse strongly monotone mappings and the set of common fixed points for an infinite family of strictly pseudo-contractive mappings in the setting of Hilbert spaces. We prove the strong convergence theorem by using the viscosity approximation method for finding the common element of the above four...