Convergence results of iterative scheme for Asymptotically Quasi-I-Nonexpansive Mappings in Banach spaces
Vinod Kumar Sahu · Functional Analysis, Approximation and Computation · 2016
A new R-generated Ishikawa iteration with errors is considered for quasi-nonexpansive mapping, asymptotically quasi-I-nonexpansive mapping T and asymptotically quasi-nonexpansive mapping I in Banach space. We prove the weak and strong convergence results for considered iteration to common fixed point of such mappings in frame work of real Banach spaces. A comparison table is prepared using a numeric example which shows that the proposed iterative algorithm is faster than some known iterative algorithms. Our main results improve and compliment some known results.