A COMMON FIXED POINT THEOREM FOR A SEQUENCE OF MAPS IN A GENERALIZED MENGER SPACE

  • Jain, Shobha (QUANTUM SCHOOL OF TECHNOLOGY) ;
  • Jain, Shishi (SHRI VAISHNAV INSTITUTE OF TECHNOLOGY AND SCIENCE) ;
  • Bahdhur, Lal (RETIRED PRINCIPAL, GOVT. ARTS AND COMMERCE COLLEGE)
  • Published : 2008.09.30

Abstract

The object of this paper is to establish a unique common fixed point theorem through weak compatibility for a sequence of self-maps satisfying a generalized contractive condition in a generalized Menger space. It improves and generalizes the result of Milovanovic-Arandelovic [2], Vasuki [10] and Sehgal and Bharucha-Reid [8]. All the results presented in this paper are new.

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