A Fixed Point Theorem for Multivalued Mappings withδ-Distance
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We mainly study fixed point theorem for multivalued mappings withδ-distance using Wardowski’s technique on complete metric space. Let(X,d)be a metric space and letB(X)be a family of all nonempty bounded subsets ofX. Defineδ:B(X)×B(X)→Rbyδ(A,B)=supd(a,b):a∈A,b∈B.Consideringδ-distance, it is proved that if(X,d)is a complete metric space andT:X→B(X)is a multivalued certain contraction, thenThas a fixed point.
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1984 ◽
Vol 7
(1)
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pp. 75-87
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1991 ◽
Vol 14
(3)
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pp. 417-420
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1997 ◽
Vol 20
(1)
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pp. 9-12
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