Advanced Search

Query:

Fill in the form and click »Search«...

Format:

Display: entries per page entries

Zbl 1215.65105
Ofoedu, Eric U.; Malonza, David M.
Hybrid approximation of solutions of nonlinear operator equations and application to equation of Hammerstein-type. (English)
[J] Appl. Math. Comput. 217, No. 13, 6019-6030 (2011). ISSN 0096-3003

Authors' abstract: We study a hybrid iterative scheme for finding a common element of a set of solutions of generalized mixed equilibrium problem, a set of common fixed points of a finite family of weak relatively nonexpansive mappings and null spaces of a finite family of $\gamma $-inverse strongly monotone mappings in a 2-uniformly convex and uniformly smooth real Banach space. Our results extend, improve and generalize the results of several authors which are announced recently. Application of our theorem to solution of equations of Hammerstein-type is of independent interest.
[Jiří Vaníček (Praha)]

MSC 2000:: *65J15 Equations with nonlinear operators (numerical methods)
47J25 Methods for solving nonlinear operator equations (general)
47H10 Fixed point theorems for nonlinear operators on topol.linear spaces
47H30 Particular nonlinear operators
47H09 Mappings defined by "shrinking" properties

Keywords: fixed point problems; generalized mixed equilibrium problem; Hammerstein equations; monotone operators; uniformly convex and uniformly smooth Banach spaces; weak relatively nonexpansive mappings; hybrid iterative scheme

Comment on this Item PDF MathML XML ASCII DVI PS BibTeX Online Ordering Article Journal

	Scientific prize winners of the ICM 2010
	Overhang
	Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

Advanced Search

Zentralblatt MATH Berlin [Germany]