33 research outputs found
Convergence and stability theorems for the Picard-Mann hybrid iterative scheme for a general class of contractive-like operators
In this paper we use the general class of contractive-like operators introduced by
Bosede and Rhoades (J. Adv. Math. Stud. 3(2):1-3, 2010) to prove strong convergence
and stability results for Picard-Mann hybrid iterative schemes considered in a real
normed linear space. We establish the strong convergence and stability of the Picard
iterative scheme as a corollary. Our results generalize and improve a multitude of
results in the literature, including the recent results of Chidume (Fixed Point Theory
Appl. 2014:233, 2014)
Fixed point theorems for a semigroup of total asymptotically nonexpansive mappings in uniformly convex Banach spaces
In this paper, we provide existence and convergence theorems of common fixed points for left (or right) reversible semitopological semigroups of total asymptotically nonexpansive mappings in uniformly convex Banach spaces. The results presented in this paper extend and improve some recent results announced by other authors