Convergence of algorithms for fixed points of generalized asymptotically quasi-j-nonexpansive mappings with applications

نویسندگان

  • Xiaolong Qin
  • Ravi P Agarwal
  • Sun Young Cho
  • Shin Min Kang
چکیده

* Correspondence: ooly61@yahoo. co.kr; [email protected] Department of Mathematics, Gyeongsang National University, Jinju 660-701, Republic of Korea Department of Mathematics and RINS, Gyeongsang National University, Jinju 660-701, Republic of Korea Full list of author information is available at the end of the article Abstract In this article, strong convergence of Krasnoselski-Mann iterative sequences and Halpern iterative sequences are investigated based on hybrid projection methods. Strong convergence theorems for common fixed points of a family of generalized asymptotically quasi-j-nonexpansive mappings are established in the framework of Banach spaces. Mathematics Subject Classification 2000: 47H09; 47J05; 47J25

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تاریخ انتشار 2012