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A Note on Convergence of a Sequence and Its Applications to Geometry of Banach Spaces
2011
Advances in Pure Mathematics
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The purpose of this note is to point out several obscure places in the results of Ahmed and Zeyada [J. Math. Anal. Appl. 274 (2002) 458-465]. In order to rectify and improve the results of Ahmed and Zeyada, we introduce the concepts of locally quasi-nonexpansive, biased quasi-nonexpansive and conditionally biased quasi-nonexpansive of a mapping w.r.t. a sequence in metric spaces. In the sequel, we establish some theorems on convergence of a sequence in complete metric spaces. As consequences of
doi:10.4236/apm.2011.13009
fatcat:zukvnewiefakxkrfqdzrvzh4ou