New Hybrid Algorithm of Modified Halpern Iteration Scheme for Quasi-φ-nearly Asymptotically Nonexpansive Mappings in Banach Spaces

نویسندگان

  • Jianmin Song
  • Shenghua Wang
چکیده

In this paper, we introduce a new hybrid algorithm of modified Halpern iteration for a countable infinitely family of quasi-φ-nearly asymptotically nonexpansive mappings in Banach spaces and prove the strong convergence for the proposed algorithm. Our proof method is of novelty and the results presented in this paper improve the corresponding ones announced by others. Mathematics Subject Classification: 47H05; 47H09; 47J25; 47N10

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تاریخ انتشار 2013