Fixed Point of a New Three-Step Iteration Algorithm under Contractive-Like Operators over Normed Spaces | Zendy

Vatan Karakaya | Zendy; Kadri Doğan | Zendy; Faik Gürsoy | Zendy; Müzeyyen Ertürk | Zendy

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Fixed Point of a New Three-Step Iteration Algorithm under Contractive-Like Operators over Normed Spaces

Author(s) -

Vatan Karakaya,

Kadri Doğan,

Faik Gürsoy,

Müzeyyen Ertürk

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 - 10.1155/2013/560258

Subject(s) - mathematics , fixed point iteration , convergence (economics) , fixed point , power iteration , algorithm , scheme (mathematics) , iterative method , discrete mathematics , mathematical analysis , economics , economic growth

We introduce a new three-step iteration scheme and prove thatthis new iteration scheme is convergent to fixed points of contractive-likeoperators. Also, by providing an example, we show that our new iterationmethod is faster than another iteration method due to Suantai (2005). Furthermore, it is shown that this new iteration method is equivalent tosome other iteration methods in the sense of convergence. Finally, it isproved that this new iteration method is T-stable

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