Advanced Search

Query:

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

Format:

Display: entries per page entries

Zbl 1193.49010
Noor, Muhammad Aslam; Huang, Zhenyu
Some resolvent iterative methods for variational inclusions and nonexpansive mappings. (English)
[J] Appl. Math. Comput. 194, No. 1, 267-275 (2007). ISSN 0096-3003

Summary: We suggest and analyze three-step iterations for finding the common element of the set of fixed points of a nonexpansive mappings and the set of the solutions of the variational inclusions using the resolvent operator technique. We also study the convergence criteria of three-step iterative method under some mild conditions. Our results include the previous results of the authors [J. Math. Anal. Appl. 331, No. 2, 810--822 (2007; Zbl 1112.49013); Appl. Math. Comput. 187, No. 2, 680--685 (2007; Zbl 1128.65050)] as special cases and may be considered as an improvement and refinement of the previously known results.

MSC 2000:: *49J40 Variational methods including variational inequalities
47J20 Inequalities involving nonlinear operators

Keywords: common elements; nonexpansive mappings

Citations: Zbl 1112.49013; Zbl 1128.65050

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]