Best proximity points for generalized α-ϕ-Geraghty proximal contraction mappings and its applications
نویسندگان
چکیده
منابع مشابه
Common best proximity points for $(psi-phi)$-generalized weak proximal contraction type mappings
In this paper, we introduce a pair of generalized proximal contraction mappings and prove the existence of a unique best proximity point for such mappings in a complete metric space. We provide examples to illustrate our result. Our result extends some of the results in the literature.
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LetA andB be two nonempty subsets of ametric space (X, d). An element x ∈ A is said to be a fixed point of a given map T : A → B ifTx = x. Clearly,T(A)∩A ̸ = 0 is a necessary (but not sufficient) condition for the existence of a fixed point of T. If T(A) ∩ A = 0, then d(x, Tx) > 0 for all x ∈ A that is, the set of fixed points of T is empty. In a such situation, one often attempts to find an ele...
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ژورنال
عنوان ژورنال: Fixed Point Theory and Applications
سال: 2016
ISSN: 1687-1812
DOI: 10.1186/s13663-016-0561-0