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 Common fixed point and invariant approximation in Menger convex metric spaces Bull. Korean Math. Soc. 2008 Vol. 45, No. 4, 671-680 Printed December 1, 2008 Nawab Hussain, Mujahid Abbas, and Jong Kyu Kim King Abdul Aziz University, Indiana University, and Kyungnam University Abstract : Necessary conditions for the existence of common fixed points for noncommuting mappings satisfying generalized contractive conditions in a Menger convex metric space are obtained. As an application, related results on best approximation are derived. Our results generalize various well known results. Keywords : convex metric space, common fixed point, uniformly $C_{q}$-commuting mapping, asymptotically $S$-nonexpansive mapping, best approximation MSC numbers : 47H09, 47H10, 47H19, 54H25 Downloads: Full-text PDF