CONVERGENCE THEOREMS FOR TWO FINITE FAMILIES OF UNIFORMLY L-LIPSCHITZIAN MAPPINGS

Here, we consider a composite iterative process for twofinite families of Lipschitzian mappings in a real Banach space. Ourresults mainly improve and extend the recent results of [S.S. Chang,Some results for asymptotically pseudo-contractive mappings andasymptotically nonexpansive mappings, Proc. Amer. Math. Soc.129 (2001) 845-853], [Y.J. Cho, J.I. Kang, H. Zhou, Approximatingcommon fixed points of asymptotically nonexpansive mappings,Bull. Korean Math. Soc. 42 (2005) 661-670] and some others.