Stability Results for Multistep Iteration Satisfying a General Contractive Condition of Integral Type in a Normed Linear Space

Abstract

In this paper, we prove some stability results for multistep iteration scheme by using maps satisfying contractive condition of integral type in a normed linear space. Our results are generalizations and extensions of some of the results of Berinde [1], Olatinwo [2], Osilike and Udomene [3], Rhoades [4, 5] and some other numerous results in the literature.

Keywords: Multistep iteration, contractive condition of integral type, normed linear spaces

Journal of the Nigerian Association of Mathematical Physics, Volume 20 (March, 2012), pp 5 – 12