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
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
Journal title :
Applied Mathematics Letters
