Title of article
On the equivalence of the Mizoguchi–Takahashi fixed point theorem to Nadler’s theorem
Author/Authors
A. Anthony Eldred، نويسنده , , A. and Anuradha، نويسنده , , J. and Veeramani، نويسنده , , P.، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2009
Pages
4
From page
1539
To page
1542
Abstract
In this work, we prove that on a metrically convex complete metric space, the Mizoguchi–Takahashi theorem is equivalent to Nadler’s theorem. Also, we obtain its equivalence on a compact metric space.
Keywords
Hausdorff metric , Metrically convex , Multivalued contraction , Nadler’s theorem , Mizoguchi–Takahashi theorem
Journal title
Applied Mathematics Letters
Serial Year
2009
Journal title
Applied Mathematics Letters
Record number
1526290
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