An Iterative Approximation Method for a Common Fixed Point of Two Pseudocontractive Mappings. (9th May 2011)

• Record Type: Journal Article
• Authors: Zegeye, Habtu
• Other Names: Karakostas G. L. Academic Editor.; Mantica G. Academic Editor.; Miyagaki O. Academic Editor.; Shioji N. Academic Editor.; Zhu C. Academic Editor.
• Is Part Of: ISRN mathematical analysis. Volume 2011(2011)
• Publication Date: 2011-05-09
• Subjects: Mathematical analysis -- Periodicals; Mathematical analysis; Periodicals; 515
• DOI: 10.5402/2011/621901
• Languages: English
• ISSNs: 2090-4657

Abstract

Abstract : We introduce an iterative process for finding an element in the common fixed point sets of two continuous pseudocontractive mappings. As a consequence, we provide an approximation method for a common fixed point of a finite family of pseudocontractive mappings. Furthermore, our convergence theorem is applied to a convex minimization problem. Our theorems extend and unify most of the results that have been proved for this class of nonlinear mappings.