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Regularization inertial proximal point algorithm for monotone hemicontinuous mapping and inverse strongly monotone mappings in Hilbert spaces.

Kim, Jong Kyu; Buong, Nguyen — 2010

Journal of Inequalities and Applications [electronic only]

An implicit iteration method for variational inequalities over the set of common fixed points for a finite family of nonexpansive mappings in Hilbert spaces.

Buong, Nguyen; Anh, Nguyen Thi Quynh — 2011

Fixed Point Theory and Applications [electronic only]

An iteration method for common solution of a system of equilibrium problems in Hilbert spaces.

Kim, Jong Kyu; Buong, Nguyen — 2011

Fixed Point Theory and Applications [electronic only]

Equations with discontinuous nonlinear semimonotone operators

Nguyen Buong — 1999

Commentationes Mathematicae Universitatis Carolinae

The aim of this paper is to present an existence theorem for the operator equation of Hammerstein type $x + K F (x) = 0$ with the discontinuous semimonotone operator $F$ . Then the result is used to prove the existence of solution of the equations of Urysohn type. Some examples in the theory of nonlinear equations in $L_{p} (Ω)$ are given for illustration.

Implicit approximation methods for common fixed points of a finite family of strictly pseudocontractive mappings in Banach spaces

Nguyen Buong — 2009

Matematički Vesnik

A method for a solution of equilibrium problem and fixed point problem of a nonexpansive semigroup in Hilbert's spaces.

Nguyen Buong; Nguyen Dinh Duong — 2011

Fixed Point Theory and Applications [electronic only]

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Currently displaying 1 – 6 of 6

Regularization inertial proximal point algorithm for monotone hemicontinuous mapping and inverse strongly monotone mappings 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 iteration method for common solution of a system of equilibrium problems in Hilbert spaces.

Equations with discontinuous nonlinear semimonotone operators

Implicit approximation methods for common fixed points of a finite family of strictly pseudocontractive mappings in Banach spaces

A method for a solution of equilibrium problem and fixed point problem of a nonexpansive semigroup in Hilbert's spaces.