A CONVERGENCE THEOREM FOR I-QUASI-NONEXPANSIVE MAPPINGS

Si-Sheng Yao (P. R. China) and Li-Hua Qiu (P. R. China)

Received August 31, 2007

Abstract

In this paper, we are concerned with the study of the Ishikawa iterative scheme involving an I-quasi-nonexpansive mapping T. Under some suitable conditions, the scheme is shown to converge strongly to a common fixed point of T and I.

Keywords and phrases: I-quasi-nonexpansive mapping, common fixed point, uniformly convex Banach space.