Approximating Common Fixed Points for a Finite Family of Uniformly Quasi-Lipschitzian Mappings in Banach Spaces (pp. 10-23)
GURUCHARAN SINGH SALUJA · Azerbaijan Journal of Mathematics · 2011
In this paper, we study an implicit iteration scheme with errors for a nite family ofuniformly quasi-Lipschitzian mappings and give the necessary and sucient condition to convergeto a common xed point for the said mappings in Banach spaces and also prove some strongconvergence theorems in uniformly convex Banach spaces. Our results extend and improve somerecent results in the literature (see e.g. [2, 3, 6, 7, 10, 12])