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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.

Keywords

References

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  3. Common fixed points for some generalized contraction pairs in convex metric spaces vol.2014, pp.1, 2014, https://doi.org/10.1186/1687-1812-2014-98