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

Loading...
Thumbnail Image
Date
2018-08-14
Journal Title
Journal ISSN
Volume Title
Publisher
Universiteti i Prishtin es, Prishtine, Kosove.
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.
Description
Keywords
Citation
SOME RESULTS ON IMPLICIT MULTISTEP FIXED POINT ITERATIVE SCHEMES FOR CONTRACTIVE-LIKE OPERATORS IN CONVEX METRIC SPACES