a fixed point theorem for multivalued mappings with δ-distance
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2014
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Abstract
We mainly study fixed point theorem for multivalued mappings with δ-distance using Wardowski’s technique on complete metric space. Let (X,d) be a metric space and let B(X) be a family of all nonempty bounded subsets of X. Define δ:B(X)×B(X)→R by δ(A,B)=supd(a,b):a∈A,b∈B. Considering δ-distance, it is proved that if (X,d) is a complete metric space and T:X→B(X) is a multivalued certain contraction, then T has a fixed point.
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acar2014abstracta
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|---|---|
| Authors | ;Özlem Acar;Ishak Altun |
| Journal | science and technology of advanced materials |
| Year | 2014 |
| DOI |
10.1155/2014/497092
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