International Journal of Statistika and Mathematika, ISSN: 2277- 2790 E-ISSN: 2249-8605
Volume 7, Issue 1, August 2013 pp 01-03
Research Article
On Convergence Theorem of fixed point theorem for Nonself I-Nonexpansive Mapping of Ishikawa Iteration in Banach Spaces
Poonam L. Sagar1, S. K. Malhotra2
1Assistant Professor, Department of Applied Mathematics and Computer Science, SATI (Deg), Vidisha, Madhya Pradesh, INDIA.
2HOD, Department of Mathematics, Govt. S. G. S. P.G. College Ganj Basoda, Distt Vidisha, Madhya Pradesh, INDIA.
Academic Editor: Dr. Dase R.K.
Abstract
Suppose that E be a uniformly convex Banach Space, Let K be a nonempty convex subset of E with P as a nonexpansive retraction. Let T:K→ E be a given nonself mapping. The modified Ishikawa iterative scheme {xn} is defined by (1.8). We establish the weak convergence of a sequence of a modified ishikawa iteration of a nonself I- nonexpansive mapping in a banach space which satisfies Opial’s condition.
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