On mappings with diminishing orbital diameters

Zeqing Liu, Shin Min Kang
2001 International Journal of Mathematics and Mathematical Sciences  
We introduce the concepts of∗-diminishing orbital diameters and diminishing orbital diameters for a pair(f,g)of self mappings in metric spaces and prove common fixed point theorems for these mappings. The results obtained in this paper extend properly the result of Fisher (1978).
doi:10.1155/s0161171201006822 fatcat:pfpjlv52zfaznmop65c3lfzooe