COMMON FIXED POINT OF (f,g) - NONEXPANSIVE MAPPINGS

A.S. Saluja

Abstract


In this paper, we prove that there is a common fixed point of  if  T  is -contractive and both  are R-weakly commuting in a metric space . Also we obtain a common fixed point result for -nonexpansive mappings in a Banach space.

Keywords: -contraction,-non-expansive mappings, R-weakly commuting, common fixed points.

Mathematics Subject Classification: 47H10, 54H25.


Full Text:

PDF

References


M.A. Al-Thagafi, Common fixed points and best approximation, J. Approx. Theory 85(1996), no. 3, 318-323.

W.G. Dotson, Jr., Fixed point theorems for non-expansive mappings on star-shaped subset of Banach spaces, J. London Math. Soc. (2) 4(1972), 408-410.

F.E. Browder, Convergence of approximates to fixed points of nonexpansive non-linear mappings in Banach spaces, Arch. Rational Mech. Anal. 24(1967), 82-90.

G. Jungck, Coincidence and fixed points for compatible and relatively nonexpansive maps, Internat. J. Math. Sci. 16(1993), no.1, 95-100.

S. Park, On f-nonexpansive maps, J. Korean Math. Soc. 16(1979), no. 1, 29-38.

N. Shahzad, Invariant approximations and R-subweakly commuting maps, J. Math. Anal. Appl. 257(2001), no. 1, 39-45.


Refbacks

  • There are currently no refbacks.




CC BY-SA