Explicit averaging cyclic algorithm for common fixed points of a finite family of asymptotically strictly pseudocontractive mappings in q-uniformly smooth Banach spacesReport as inadecuate




Explicit averaging cyclic algorithm for common fixed points of a finite family of asymptotically strictly pseudocontractive mappings in q-uniformly smooth Banach spaces - Download this document for free, or read online. Document in PDF available to download.

Fixed Point Theory and Applications

, 2012:167

First Online: 02 October 2012Received: 09 June 2012Accepted: 13 September 2012

Abstract

Let E be a real q-uniformly smooth Banach space which is also uniformly convex and K be a nonempty, closed and convex subset of E. We obtain a weak convergence theorem of the explicit averaging cyclic algorithm for a finite family of asymptotically strictly pseudocontractive mappings of K under suitable control conditions, and elicit a necessary and sufficient condition that guarantees strong convergence of an explicit averaging cyclic process to a common fixed point of a finite family of asymptotically strictly pseudocontractive mappings in q-uniformly smooth Banach spaces. The results of this paper are interesting extensions of those known results.

MSC: 47H09, 47H10.

Keywordsasymptotically strictly pseudocontractive mappings weak and strong convergence explicit averaging cyclic algorithm fixed points q-uniformly smooth Banach spaces  Download fulltext PDF



Author: Ying Zhang - Zhiwei Xie

Source: https://link.springer.com/



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