• Thesis to Book with ISBN
• Aim And Scope
• Article in Press
• Editorial Board
• Current Issue
• Archives
• Publication Charges
• Authors Information
• Contact Us
• Paper Format

[Abstract] [PDF] [HTML] [Linked References]

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.

Academic Editor:  Dr. Dase R.K.

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.