Common fixed point theorems for two mappings satisfying some conditions

Jeong Sheok Ume, Jong Kyu Kim
2000 Bulletin of the Australian Mathematical Society  
In this paper, using the concept of to-distance, we first prove common fixed point theorems in a complete metric space. Then these theorems are used to improve Kannan's fixed point theorem, Cirid's fixed point theorem, Kada, Suzuki and Takahashi's fixed point theorem and Ume's fixed point theorem.
doi:10.1017/s0004972700018499 fatcat:jy5iy5pzjraypew5ctnlt22xgy