Strong Convergence Theorems of Modified Ishikawa Iterative Method for an Infinite Family of Strict Pseudocontractions in Banach Spaces | Zendy

Phayap Katchang | Zendy; Wiyada Kumam | Zendy; Usa Wannasingha Humphries | Zendy; Poom Kumam | Zendy

Open Access

Strong Convergence Theorems of Modified Ishikawa Iterative Method for an Infinite Family of Strict Pseudocontractions in Banach Spaces

Author(s) -

Phayap Katchang,

Wiyada Kumam,

Usa Wannasingha Humphries,

Poom Kumam

Publication year - 2011

Publication title -

international journal of mathematics and mathematical sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.21

H-Index - 39

eISSN - 1687-0425

pISSN - 0161-1712

DOI - 10.1155/2011/549364

Subject(s) - mathematics , banach space , convergence (economics) , iterative and incremental development , scheme (mathematics) , iterative method , unconditional convergence , eberlein–šmulian theorem , discrete mathematics , pure mathematics , rate of convergence , lp space , mathematical analysis , mathematical optimization , compact convergence , computer science , software engineering , economics , economic growth , channel (broadcasting) , computer network

We introduce a new modified Ishikawa iterative process and a new W-mapping for computing fixed points of an infinite family of strict pseudocontractions mapping in the framework of q-uniformly smooth Banach spaces. Then, we establish the strong convergence theorem of the proposed iterative scheme under some mild conditions. The results obtained in this paper extend and improve the recent results of Cai and Hu 2010, Dong et al. 2010, Katchang and Kumam 2011 and many others in the literature

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