Strong Convergence of Approximating Fixed Point Sequences for Relatively Nonlinear Mappings

Tae-Hwa Kim

Abstract

Some recent iteration algorithms to prove strong convergence of approximating fixed point sequences for relatively nonlinear mappings in Banach spaces by using the hybrid methods in mathematical programming are introduced. Also, we establish strong convergence of modified Ishikawa type iteration algorithm for both uniformly equicontinuous and total relatively asymptotically nonexpansive mappings in uniformly convex and uniformly smooth Banach spaces.