M. Abbas, S. H. Khan, “A strong convergence theorem for two asymptotically nonexpansive mappings in a strictly convex Banach space”, Eurasian Math. J., 2010, Volume 1, Number 3,Pages <nobr>5

A strong convergence theorem for two asymptotically nonexpansive mappings in a strictly convex Banach space

M. Abbas^a, S. H. Khan^b

^a Center for Advanced Studies in Mathematics, Lahore University of Mangement Sciences, Lahore, Pakistan
^b Department of Mathematics, Statistics and Physics, College of Arts and Sciences, Qatar University, Doha, Qatar

Abstract: An iterative scheme containing two asymptotically nonexpansive mappings has been used in this paper to approximate common fixed points in a strictly convex Banach space. This improves and extends some known recent results to the case of two mappings.

Keywords and phrases: common fixed point, iterative scheme, asymptotically nonexpansive mappings, strictly convex Banach space.

MSC: 47H09, 49M05

Received: 30.07.2010

Language: English