Turk J Math 29 (2005) , 129 – 140. c  T ¨ UB ˙ ITAK Common Fixed Point Theorems for Fuzzy Mappings in Quasi-Pseudo-Metric Spaces (Dedicated to the Memory of the Late Professor Dr. Y. A. Verdiyev) ˙ Ilker S ¸ahin, Hakan Karayılan and Mustafa Telci ∗ Abstract In this paper, we obtain some common fixed point theorems for pairs of fuzzy mappings in left K-sequentially complete quasi-pseudo-metric spaces and right K- sequentially complete quasi-pseudo-metric spaces, respectively. Well-known theo- rems are special cases of our results. Key words and phrases: Fuzzy mapping; Fixed point; Quasi-pseudo-metric; Left K-sequentially complete; Right K-sequentially complete. 1. Introduction Heilpern [5] first introduced the concept of fuzzy mappings and proved a fixed point theorem for fuzzy contraction mappings which is a fuzzy analogue of Nadler’s [6] fixed point theorem for multivalued mappings. Bose and Shani [2], in their first theorem, extended the result of Heilpern to a pair of generalized fuzzy contraction mappings. Park and Jeong [7] proved some common fixed point theorems for fuzzy mappings satisfying contractive-type conditions and a rational inequality in complete metric spaces, which are the fuzzy extensions of some theorems in [1, 8]. Recently, Gregori and Pastor [3] proved a fixed point theorem for fuzzy contraction mappings in left K-sequentially complete 2000 AMS Mathematics Subject Classification: 54A40, 54H25 * Corresponding author 129