WEAK CONVERGENCE FOR A SEQUENCE OF NONEXPANSIVE MAPPINGS IN BANACH SPACES WITH GAUGE FUNCTIONS

PRASIT  CHOLAMJIAK; SUTHEP  SUANTAI

WEAK CONVERGENCE FOR A SEQUENCE OF NONEXPANSIVE MAPPINGS IN BANACH SPACES WITH GAUGE FUNCTIONS

Authors

PRASIT CHOLAMJIAK Department of Mathematics, Faculty of Science, Chiang Mai University, Chiang Mai 50200, Thailand
SUTHEP SUANTAI Department of Mathematics, Faculty of Science, Chiang Mai University, Chiang Mai 50200, Thailand

Keywords:

Banach space, Common fixed point, Gauge function, Mann-typeiteration

Abstract

We investigate the convergence of Manntypeiteration for a sequence of nonexpansive mappings in the framework of a uniformly convex Banach space having the duality mapping $j_\varphi$, where $\varphi$ is a gauge function on [0,1). Our results improve and extend some well-known results in the literature.