Convergence of Common Random Fixed Point of Finite Family of Asymptotically Quasi-Nonexpansive-Type Mappings by an Implicit Random Iterative Scheme | Zendy

A. S. Saluja | Zendy; Pankaj Kumar Jhade | Zendy

Open Access

Convergence of Common Random Fixed Point of Finite Family of Asymptotically Quasi-Nonexpansive-Type Mappings by an Implicit Random Iterative Scheme

Author(s) -

A. S. Saluja,

Pankaj Kumar Jhade

Publication year - 2013

Publication title -

journal of mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.252

H-Index - 13

eISSN - 2314-4785

pISSN - 2314-4629

DOI - 10.1155/2013/678946

Subject(s) - mathematics , banach space , convergence (economics) , regular polygon , type (biology) , scheme (mathematics) , fixed point , iterative and incremental development , pure mathematics , discrete mathematics , mathematical analysis , computer science , geometry , ecology , software engineering , economics , biology , economic growth

We introduce a new implicit random iteration process generated by a finite family of asymptotically quasi-nonexpansive-type mappings and study necessary and sufficient conditions for the convergence of this process in a uniformly convex Banach space. The results presented in this paper extend and improve the recent ones announced by Plubtieng et al. (2007), Beg and Thakur (2009), and Saluja and Nashine (2012).

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