Coincidence and common fixed points of Greguš type weakly biased mappings

Abstract

In this note,  common fixed point theorem of compatible mappings of type(A) due to Murthy et al.[ P. P. Murthy, Y. J. Cho and B. Fisher, Common fixed points of Gregu type mappings, Glasnik Maematicki, Vol.30(50), (1995), 335-341] has extended to weakly biased mappings. Our result also extends the results of Sessa and Fisher [S. Sessa and B. Fisher, Common fixed points of two mappings on Banach spaces, J. Math. Phys. Sci. 18(1984), 353-360] and, Fisher and Sessa[B. Fisher and S. Sessa, On a fixed point theorem of Gregu  , Internat. J. Math.  Math. Sci. 9, (1986), 22-28].