TY - JOUR
ID - 540894
TI - New three-step iteration process and fixed point approximation in Banach spaces
JO - Journal of Linear and Topological Algebra ( JLTA )
JA - JLTA
LA - en
SN - 2252-0201
AU - Ullah, K.
AU - Arshad, M.
AD - Department of Mathematics, International Islamic University H-10, 44000- Islamabad, Pakistan
Y1 - 2018
PY - 2018
VL - 07
IS - 02
SP - 87
EP - 100
KW - Suzuki generalized nonexpansive mapping
KW - contraction mapping
KW - Banach space
KW - Iteration process
KW - weak convergence
KW - strong convergence
DO -
N2 - In this paper we propose a new iteration process, called the $K^{ast }$ iteration process, for approximation of fixed points. We show that our iteration process is faster than the existing well-known iteration processes using numerical examples. Stability of the $K^{ast}$ iteration process is also discussed. Finally we prove some weak and strong convergence theorems for Suzuki generalized nonexpansive mappings in the setting of uniformly convex Banach spaces. Our results are the extension, improvement and generalization of many well-known results in the literature of iterations in fixed point theory.
UR - http://jlta.iauctb.ac.ir/article_540894.html
L1 - http://jlta.iauctb.ac.ir/article_540894_7f56deb6bb491b42eb6aade3302b2847.pdf
ER -