COMMON FIXED POINT THEOREMS FOR R-WEAKLY COMMUTING MAPPINGS OF TYPE (Ag) IN UNIFORM SPACES

  • J. K. KOHLI
    Department of Mathematics, Hindu College, University of Delhi, Delhi-110007, India
  • JEETENDRA AGGARWAL
    Department of Mathematics, University of Delhi, Delhi-110007, India
    jitenaggarwal@gmail.com

Abstract

The notion of R-weak commutativity of type (Ag) and that of compatibility of a pair of self mappings is extended to the framework of uniform spaces and fixed point theorems concerning them are proved. The results obtained in the process generalize several known results in the literature including the recent results of V. Pant, R.P. Pant and others and have a bearing on a problem of B.E. Rhoades.

Cuvinte cheie

common fixed point R-weakly commuting map of type (Ag) compatible map non-compatible map Hausdorff uniform space