COMMON FIXED POINTS OF A NEW THREE-STEP ITERATION WITH ERRORS OF ASYMPTOTICALLY QUASI-NONEXPANSIVE NONSELF-MAPPINGS IN BANACH SPACES

Utith  Inprasit; Hathaikarn  Wattanataweekul

COMMON FIXED POINTS OF A NEW THREE-STEP ITERATION WITH ERRORS OF ASYMPTOTICALLY QUASI-NONEXPANSIVE NONSELF-MAPPINGS IN BANACH SPACES

Authors

Utith Inprasit DEPARTMENT OF MATHEMATICS, STATISTICS AND COMPUTER, FACULTY OF SCIENCE, UBON RATCHATHANIUNIVERSITY, UBON RATCHATHANI 34190, THAILAND
Hathaikarn Wattanataweekul DEPARTMENT OF MATHEMATICS, STATISTICS AND COMPUTER, FACULTY OF SCIENCE, UBON RATCHATHANIUNIVERSITY, UBON RATCHATHANI 34190, THAILAND

Keywords:

Abstract

In this paper, we study a new three-step iterative scheme for approximating a common fixed point of three asymptotically quasi-nonexpansive nonself-mappings with errors and prove several strong and weak convergence results of the iterative sequences with errors in a uniformly convex Banach space. We also extend and improve some recent corresponding results in the literature.