On fixed point results for some generalized nonexpansive mappings

[摘要] We investigate an Ishikawa iteration process in the set up of generalized $ \alpha $- nonexpansive mappings. Approximation of these two mappings to a common fixed point by $ \Delta- $convergence and strong convergence of the scheme in hyperbolic space are also illustrated. The presented results amplify and polish many recent ideas put forward in uniformly convex Banach spaces, including CAT(0) spaces.

[学科分类] 地球科学(综合)

[关键词] common fixed point;generalized $ \alpha $;nonexpansive mappings;hyperbolic space