# 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)
• Published : 2008.11.30

#### 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.

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