Advanced Search

Query:

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

Format:

Display: entries per page entries

Zbl 1218.47118
Shahzad, Naseer; Zegeye, Habtu
On Mann and Ishikawa iteration schemes for multi-valued maps in Banach spaces. (English)
[J] Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 71, No. 3-4, A, 838-844 (2009). ISSN 0362-546X

Summary: We prove strong convergence theorems for the Ishikawa iteration scheme involving quasi-nonexpansive multi-valued maps. We also construct an iteration scheme which removes a restrictive condition in [{\it Y.-S. Song} and {\it H.-J. Wang}, Comput. Math. Appl. 55, No.~12, 2999--3002 (2008; Zbl 1142.47344)]. Our results provide an affirmative answer to {\it B. Panyanak}'s question [Comput. Math. Appl. 54, No.~6, 872--877 (2007; Zbl 1130.47050)] in a more general setting.

MSC 2000:: *47J25 Methods for solving nonlinear operator equations (general)
47H04 Set-valued operators
47H09 Mappings defined by "shrinking" properties

Keywords: quasi-nonexpansive multimap; nonexpansive multi-valued map; fixed point; strong convergence; Banach space

Citations: Zbl 1142.47344; Zbl 1130.47050

Cited in: Zbl 1218.47120 Zbl 1231.47068

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]