TAILIEUCHUNG - Common fixed point theorems for fuzzy mappings in quasi-pseudo-metric spaces

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 Ksequentially complete quasi-pseudo-metric spaces, respectively. Well-known theorems are special cases of our results. | Turk J Math 29 (2005) , 129 – 140. ¨ ITAK ˙ c TUB 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 Ksequentially complete quasi-pseudo-metric spaces, respectively. Well-known theorems 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 author ∗ Corresponding 129 ˙ KARAYILAN, TELCI˙ S ¸ AHIN, quasi-pseudo-metric spaces. Their result is a generalization of the result of Heilpern. In [11] the authors extended the results of [3] and [5]. On the other hand, Gregori and Romaguera [4] obtained some interesting fixed point theorems for fuzzy mappings in Smyth-complete and left K-sequentially complete quasi-metric spaces, respectively. Some well known theorems are special cases of their results. In [10] the authors considered a generalized contractive type condition involving fuzzy .

• Toán học
• Fuzzy mapping
• Fixed point
• Quasi pseudo metric
• Left K sequentially complete
• Right K sequentially complete
• Enhancing Unlexicalized Parsing Performance
• a Wide Coverage Lexicon
• Fuzzy Tag set Mapping
• EM HMM based Lexical Probabilities
• scientific reports
• model language
• process natural language
• Simulated annealing
• Fuzzy inference system
• Simulated annealing algorithm
• Malaria susceptibility mapping
• Environmental sciences
• Hệ luật mờ phân lớp
• Phân hoạch mờ
• Đại số gia tử
• Ánh xạ định lượng khoảng
• Fuzzy classification system
• hedge algebras
• Fuzzy partition
• Interval semantically quantifying mapping
• Hệ phân lớp mờ
• Fuzzy rule based classifier
• Fuzziness measure
• Fuzziness intervals
• Semantically quantifying mapping value
• Classification reasoning
• Fuzziness interval
• Multi granularity
• Semantically quantifying mapping values