Best Proximity Point Theorems for Some New Cyclic Mappings
نویسندگان
چکیده
منابع مشابه
Best Proximity Point Theorems for Some New Cyclic Mappings
Let A and B be nonempty subsets of a metric space X, d . Consider a mapping T : A ∪ B → A ∪ B, T is called a cyclic map if T A ⊆ B and T B ⊆ A. x ∈ A is called a best proximity point of T in A if d x, Tx d A,B is satisfied, where d A,B inf{d x, y : x ∈ A, y ∈ B}. In 2005, Eldred et al. 1 proved the existence of a best proximity point for relatively nonexpansive mappings using the notion of prox...
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ژورنال
عنوان ژورنال: Journal of Applied Mathematics
سال: 2012
ISSN: 1110-757X,1687-0042
DOI: 10.1155/2012/643729