Advanced Search

Query:

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

Format:

Display: entries per page entries

Zbl 0979.47036
Chidume, C.E.; Moore, Chika
Steepest descent method for equilibrium points of nonlinear systems with accretive operators. (English)
[J] J. Math. Anal. Appl. 245, No.1, 142-160 (2000). ISSN 0022-247X

Let $E$ be a normed linear space and let $A$ be a bounded uniformly continuous $\phi$-strongly accretive multivalued map with nonempty closed convex values such that the inclusion $0\in Ax$ has a solution $x^*$.\par The authors prove the strong convergence to $x^*$ of both Ishikawa and Mann iteration processes. The methods are also applies to the approximation of fixed points of $\phi$-strongly pseudocontractive maps. Some possible generalizations of the approximation method are also considered.
[Marco Biroli (Monza)]

MSC 2000:: *47H06 Accretive operators, etc. (nonlinear)
47J25 Methods for solving nonlinear operator equations (general)
47J05 Equations involving nonlinear operators (general)
65Q05 Numerical methods for functional equations
47H04 Set-valued operators

Keywords: steepest descent method; equilibrium points; $\phi$-strongly accretive multivalued map; Ishikawa and Mann iteration; $\phi$-strongly pseudocontractive maps; approximation method

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]