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http://dx.doi.org/10.4134/BKMS.2008.45.4.671

COMMON FIXED POINT AND INVARIANT APPROXIMATION IN MENGER CONVEX METRIC SPACES  

Hussain, Nawab (DEPARTMENT OF MATHEMATICS KING ABDUL AZIZ UNIVERSITY)
Abbas, Mujahid (DEPARTMENT OF MATHEMATICS INDIANA UNIVERSITY, CENTRE FOR ADVANCED STUDIES IN MATHEMATICS AND DEPARTMENT OF MATHEMATICS LAHORE UNIVERSITY OF MANAGEMENT SCIENCES)
Kim, Jong-Kyu (DEPARTMENT OF MATHEMATICS, EDUCATION KYUNGNAM UNIVERSITY)
Publication Information
Bulletin of the Korean Mathematical Society / v.45, no.4, 2008 , pp. 671-680 More about this Journal
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;
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