Best Proximity Point Theorems for Cyclic Contractions Mappings in Banach Algebras
نویسندگان
چکیده
منابع مشابه
Best Proximity Point Theorems for p-Cyclic Meir-Keeler Contractions
Meir and Keeler in 1 considered an extension of the classical Banach contraction theorem on a complete metric space. Kirk et al. in 2 extended the Banach contraction theorem for a class of mappings satisfying cyclical contractive conditions. Eldred and Veeramani in 3 introduced the following definition. Let A and B be nonempty subsets of a metric space X. A map T : A ∪ B → A ∪ B, is a cyclic co...
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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 Function Spaces
سال: 2020
ISSN: 2314-8888,2314-8896
DOI: 10.1155/2020/8889508