Strong convergence theorems for a countable family of nonexpansive mappings in convex metric spaces

• Main Authors: Phuengrattana W., Suantai S.
• 格式: Article
• 語言: English
• 出版: 2014
• 在線閱讀: http://www.scopus.com/inward/record.url?eid=2-s2.0-81755181005&partnerID=40&md5=961ffa33e44fac84a1a1b2d4fed92a40; http://cmuir.cmu.ac.th/handle/6653943832/6423
• 機構: Chiang Mai University

We introduce a new modified Halpern iteration for a countable infinite family of nonexpansive mappings {T n } in convex metric spaces. We prove that the sequence {x n } generated by the proposed iteration is an approximating fixed point sequence of a nonexpansive mapping when {T n } satisfies the AK...