Convergence of a New Modified Ishikawa Type Iteration for Common Fixed Points of Total Asymptotically Strict Pseudocontractive Semigroups | Zendy

Yuanheng Wang | Zendy; Chunjie Wang | Zendy

Open Access

Convergence of a New Modified Ishikawa Type Iteration for Common Fixed Points of Total Asymptotically Strict Pseudocontractive Semigroups

Author(s) -

Yuanheng Wang,

Chunjie Wang

Publication year - 2013

Publication title -

abstract and applied analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.228

H-Index - 56

eISSN - 1687-0409

pISSN - 1085-3375

DOI - 10.1155/2013/319241

Subject(s) - mathematics , convergence (economics) , fixed point , mathematical proof , banach space , type (biology) , discrete mathematics , mathematical analysis , ecology , geometry , economics , biology , economic growth

The purpose of this paper is to give a new modified Ishikawa type iteration algorithmfor common fixed points of total asymptotically strict pseudocontractive semigroups. Under the reduction of some conditions, both strong convergence and weak convergence of theiteration algorithm are proved in Banach spaces with new methods of proofs, respectively. The main results presented in this paper extend and improve the corresponding recentresults of many others

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