On a conjecture of S. Reich

DOI10.1090/S0002-9939-96-03659-3zbMath0866.47040OpenAlexW1713721573WikidataQ122892435 ScholiaQ122892435MaRDI QIDQ4717087

Wu Li, Peter Z. Daffer, Hideaki Kaneko

Publication date: 14 January 1997

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-96-03659-3

zbMATH Keywords

multivalued mappingsfixed point theoremBoyd-Wong contractive mappings

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)

Related Items (23)

Some applications of Caristi's fixed point theorem in metric spaces ⋮ On equivalence of generalized multi-valued contractions and Nadler's fixed point theorem ⋮ Fixed point of set-valued graph contractive mappings ⋮ Coincidence and fixed points for multivalued mappings in incomplete metric spaces with applications ⋮ On the existence problem for a fixed point of a generalized contracting multivalued mapping ⋮ New existence theorems of coincidence points approach to generalizations of Mizoguchi-Takahashi's fixed point theorem ⋮ On contraction-type assumptions avoiding the Hausdorff distance ⋮ The contraction principle for set valued mappings on a metric space with a graph ⋮ Best proximity points and extension of Mizoguchi-Takahashi's fixed point theorems ⋮ On Reich’s fixed point problem ⋮ A two-parameter control for contractive-like multivalued mappings ⋮ Some fixed point theorems of multivalued operators in partially ordered metric spaces and applications to hyperbolic differential inclusions ⋮ Multi-valued nonlinear contraction mappings ⋮ Mizoguchi-Takahashi's fixed point theorem is a real generalization of Nadler's ⋮ Coupled fixed point theorems for nonlinear contractions satisfied Mizoguchi-Takahashi's condition in quasiordered metric spaces ⋮ Some new results and generalizations in metric fixed point theory ⋮ Unnamed Item ⋮ Fixed Point and Homotopy Results For Generalized Contractive Maps of Reich Type ⋮ Caristi's fixed point theorem and selections of set-valued contractions ⋮ A contribution to Reich's conjecture ⋮ Fixed point theorems via comparable mappings in ordered metric spaces ⋮ On coincidence point and fixed point theorems for a general class of multivalued mappings in incomplete metric spaces with an application ⋮ Fixed points for directional multi-valued \(k(\cdot)\)-contractions

Cites Work

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• Fixed point theorems for multivalued mappings on complete metric spaces
• Fixed points of generalized contractive multi-valued mappings
• Some problems and results in fixed point theory
• Common fixed points for multimaps in a metric space
• On Nonlinear Contractions

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