- Current Issue - Ahead of Print Articles - All Issues - Search - Open Access - Information for Authors - Downloads - Guideline - Regulations ㆍPaper Submission ㆍPaper Reviewing ㆍPublication and Distribution - Code of Ethics - For Authors ㆍOnlilne Submission ㆍMy Manuscript - For Reviewers - For Editors
 Common fixed point and invariant approximation results Bull. Korean Math. Soc. 2007 Vol. 44, No. 3, 537-545 Printed September 1, 2007 Mujahid Abbas and Jong Kyu Kim Indiana University, Kyungnam University Abstract : Necessary conditions for the existence of common fixed points for noncommuting mappings satisfying generalized contractive conditions in the setup of certain metrizable topological vector spaces are obtained. As applications, related results on best approximation are derived. Our results extend, generalize and unify various known results in the literature. Keywords : metrizable topological vector space, common fixed point, uniformly $R$-subweakly commuting mapping, asymptotically $S$-nonexpansive mapping, best approximation. MSC numbers : 47H09, 47H10, 47H19, 54H25 Downloads: Full-text PDF