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

作者：Sahu Daya Ram^*; Khan Abdul Rahim; Kang Shin Min

来源：Bulletin of the Korean Mathematical Society, 2013, 50(3): 1007-1020.

DOI：10.4134/BKMS.2013.50.3.1007

• nearly asymptotically nonexpansive mapping
• asymptotically nonexpansive mapping
• Mann iteration
• nearly uniform k-contraction mapping
• Opial condition

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 results.

• 出版日期2013-5
• 单位中国石油大学（北京）