Existence and Uniqueness Theorems of Ordered Contractive Map in Banach Lattices
نویسندگان
چکیده
منابع مشابه
Existence and Uniqueness Theorems of Ordered Contractive Map in Banach Lattices
and Applied Analysis 3 In fact, for n 1, using the fact that P is normal, we have ∥ ∥ ∥A u0 −Au0 ∥ ∥ ∥ ≤ N‖L Au0 − u0 ‖. 2.3 Suppose that 2.2 is true when n k then when n k 1, we obtain ∥ ∥ ∥A 2 u0 −An 1 u0 ∥ ∥ ∥ ∥ ∥ ∥A ( A 1 u0 ) −A A u0 ∥ ∥ ∥ ≤ N ∥ ∥ ∥L ( A 1 u0 −An u0 )∥ ∥ ∥ ≤ N ∥ ∥ ∥L 1 Au0 − u0 ∥ ∥ ∥. 2.4 For any m,n ∈ N,m > n, since P is normal cone, we have ‖A u0 −An u0 ‖ ∥ ∥ ∥ ( A u0 −A...
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ژورنال
عنوان ژورنال: Abstract and Applied Analysis
سال: 2012
ISSN: 1085-3375,1687-0409
DOI: 10.1155/2012/191675