APPROXIMATING FIXED POINTS OF NONEXPANSIVE TYPE MAPPINGS IN BANACH SPACES WITHOUT UNIFORM CONVEXITY

Daya Ram Sahu, Abdul Rahim Khan, Shin Min Kang
2013 Bulletin of the Korean Mathematical Society  
Approximate fixed point property problem for Mann iteration sequence of a nonexpansive mapping has been resolved on a Banach space independent of uniform (strict) convexity by Ishikawa [Fixed points and iteration of a nonexpansive mapping in a Banach space, Proc. Amer. Math. Soc. 59 (1976), 65-71]. In this paper, we solve this problem for a class of mappings wider than the class of asymptotically nonexpansive mappings on an arbitrary normed space. Our results generalize and extend several known
more » ... xtend several known results.
doi:10.4134/bkms.2013.50.3.1007 fatcat:zxvmpdhrvbdu3fd3hjflgttjuy