ITERATIVE APPROXIMATION OF COMMON FIXED POINTS FOR A FINITE FAMILY OF UNIFORMLY
L-LIPSCHITZIAN MAPPINGS IN BANACH SPACES

Feng Gu (P. R. China)

Received September 15, 2007

Abstract

The purpose of this paper is to prove a strong convergence theorem for a finite family of uniformly L-Lipschitzian mappings in Banach spaces. The results presented in this paper improve and extend some recent results in Chang [1], Ofoedu [5], Schu [6] and Zeng [8, 9].

Keywords and phrases: asymptotically pseudo-contractive mapping, normalized duality mapping, uniformly L-Lipschitzian mapping, Banach space.