Approximation Analysis for a Common Fixed Point of Finite Family of Mappings Which Are Asymptotically k-Strict Pseudocontractive in the Intermediate Sense. (27th May 2013)

• Record Type: Journal Article
• Authors: Zegeye, H.; Shahzad, N.
• Other Names: Muglia Luigi Academic Editor.
• Is Part Of: Journal of applied mathematics. Volume 2013(2013)
• Publication Date: 2013-05-27
• Subjects: Mathematics -- Periodicals; 519.05
• DOI: 10.1155/2013/821737
• Languages: English
• ISSNs: 1110-757X

Abstract

Abstract : We introduce an iterative process which converges strongly to a common fixed point of a finite family of uniformly continuous asymptotically k i -strict pseudocontractive mappings in the intermediate sense for i = 1, 2, …, N . The projection of x 0 onto the intersection of closed convex sets C n and Q n for each n ≥ 1 is not required. Moreover, the restriction that the interior of common fixed points is nonempty is not required. Our theorems improve and unify most of the results that have been proved for this important class of nonlinear mappings.