SOME RESULTS ON IMPLICIT MULTISTEP FIXED POINT ITERATIVE SCHEMES FOR CONTRACTIVE-LIKE OPERATORS IN CONVEX METRIC SPACES

Abstract

In this paper, we establish and prove strong convergence, T-stability, convergence rate and data dependence results for multistep xed point iterative schemes using a class of contractive-like operators in convex metric spaces. Our results show that the proposed implicit multistep schemes have better convergence rate than the well-known explicit multistep schemes and multistep SP-iterative schemes. This is shown by analytical processes and validated with numerical examples. Several known results in the literature are embedded in these present results.