Fixed Point Theorems of a New Generalized Nonexpansive Mapping
Shi Jie · IntechOpen eBooks · 2020
This paper introduces a T−Da mapping that is weaker than the nonexpansive mapping. It introduces several iterations for the fixed point of the T−Da mapping. It gives fixed point theorems and convergence theorems for the T−Da mapping in Banach space, instead of uniformly convex Banach space. This paper gives some basic properties on the T−Da mapping and gives the example to show the existence of T−Da mapping. The results of this paper are obtained in general Banach spaces. It considers some sufficient conditions for convergence of fixed points of mappings in general Banach spaces under higher iterations.