On the equivalence of the Mizoguchi-Takahashi fixed point theorem to Nadler's theorem

DOI10.1016/j.aml.2009.03.022zbMath1171.54323OpenAlexW2023100667MaRDI QIDQ735114

A. Anthony Eldred, P. Veeramani, J. Anuradha

Publication date: 14 October 2009

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2009.03.022

zbMATH Keywords

Hausdorff metricmultivalued contractionNadler's theoremmetrically convexMizoguchi-Takahashi theorem

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Fixed-point and coincidence theorems (topological aspects) (54H25)

Related Items (6)

Generalized uniform spaces, uniformly locally contractive set-valued dynamic systems and fixed points ⋮ Fixed points and endpoints of contractive set-valued maps in cone uniform spaces with generalized pseudodistances ⋮ Nonlinear conditions for the existence of best proximity points ⋮ A note on Caristi-type cyclic maps: related results and applications ⋮ On set-valued contractions of Nadler type in cone metric spaces ⋮ On the Equivalence of the Mizoguchi-Takahashi Locally Contractive Map and the Nadler’s Locally Contractive Map

Cites Work

• Fixed point theorems for multivalued mappings on complete metric spaces
• On equivalence of generalized multi-valued contractions and Nadler's fixed point theorem
• Mizoguchi-Takahashi's fixed point theorem is a real generalization of Nadler's
• Multi-valued contraction mappings
• Some problems and results in fixed point theory
• An Introduction to Metric Spaces and Fixed Point Theory
• Unnamed Item

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