63 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)
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