Best Proximity Point forα-ψ-Proximal Contractive Multimaps
نویسندگان
چکیده
منابع مشابه
Best Proximity Points for Generalized α-ψ-Proximal Contractive Type Mappings
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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*Correspondence: [email protected] Department of Mathematics and Computer Science, Institut National Des Sciences Appliquée et de Technologie de Tunis, Carthage University, Centre Urbain Nord BP 676, Tunis, 1080, Tunisia Abstract Herein, we search for some best proximity point results for a novel class of non-self-mappings T : A−→ B called generalized proximal α-β-quasi-contractive. We illus...
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ژورنال
عنوان ژورنال: Abstract and Applied Analysis
سال: 2014
ISSN: 1085-3375,1687-0409
DOI: 10.1155/2014/181598