Browsing by Subject "common fixed point"
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Item type:Article, Access status: Open Access , Convergence of an implicit iteration process for a finite family of asymptotically quasi-nonexpansive mappings in convex metric spaces(2010) Saluja, Gurucharan Singh; Nashine, Hemant KumarIn this paper, we give some necessary and sufficient conditions for an implicit iteration process with errors for a finite family of asymptotically quasi-nonexpansive mappings converging to a common fixed of the mappings in convex metric spaces. Our results extend and improve some recent results of Sun, Wittmann, Xu and Ori, and Zhou and Chang.Item type:Article, Access status: Open Access , Convergence theorems for strictly asymptotically pseudocontractive mappings in Hilbert spaces(2010) Saluja, Gurucharan SinghIn this paper, we establish the weak and strong convergence theorems for a $k$-strictly asymptotically pseudo-contractive mapping in the framework of Hilbert spaces. Our result improve and extend the corresponding result of Acedo and Xu, Liu, Marino and Xu, Osilike and Akuchu, and some others.