Article ID Journal Published Year Pages File Type
1710038 Applied Mathematics Letters 2009 4 Pages PDF
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
Related Topics
Physical Sciences and Engineering Engineering Computational Mechanics
Preview
On the equivalence of the Mizoguchi–Takahashi fixed point theorem to Nadler’s theorem
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