Best Periodic Proximity Points for Cyclic Weaker Meir-Keeler Contractions
نویسندگان
چکیده
منابع مشابه
Best Periodic Proximity Points for Cyclic Weaker Meir-Keeler Contractions
Throughout this paper, by R we denote the set of all nonnegative numbers, while N is the set of all natural numbers. Let A and B be nonempty subsets of a metric space X, d . Consider a mapping f : A ∪ B → A ∪ B, f is called a cyclic map if f A ⊆ B and f B ⊆ A. A point x in A is called a best proximity point of f in A if d x, fx d A,B is satisfied, where d A,B inf{d x, y : x ∈ A,y ∈ B}, and x ∈ ...
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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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Correspondence: [email protected]. edu.tw Department of Applied Mathematics, National Hsinchu University of Education, No. 521, Nanda Rd., Hsinchu City 300, Taiwan Abstract In this article, we introduce the notions of cyclic weaker φ ○ -contractions and cyclic weaker (φ, )-contractions in complete metric spaces and prove two theorems which assure the existence and uniqueness of a fixed point for ...
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ژورنال
عنوان ژورنال: Journal of Applied Mathematics
سال: 2012
ISSN: 1110-757X,1687-0042
DOI: 10.1155/2012/782389