A General Class of Contractions: A-contractions
نویسندگان
چکیده
In this article we introduce a new class of contraction maps, called A-contractions, which includes the contractions studied by R. Bianchini, M. S. Khan, S. Reich and T. Kannen. It is shown that the class of A-contractions is proper super class of Kannan’s and Khan’s contractions. Several results due to B. Ahmad, F. U. Rehman, Z. Chuanyi, N. Shioji et al. are extended to the A-contractions. We also show that a metric space is complete if and only if it has a fixed point property for A-contractions. AMS Mathematics Subject Classification (2000): 47H10, 54H25
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