Fixed point theorems for set-valued mappings on TVS-cone metric spaces

DOI10.1186/s13663-015-0468-1zbMath1429.54049arXiv1508.04962OpenAlexW1853225040WikidataQ59413264 ScholiaQ59413264MaRDI QIDQ288284

Raúl Fierro

Publication date: 25 May 2016

Published in: Fixed Point Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1508.04962

zbMATH Keywords

set-valued mappingBishop-Phelps theoremBerinde weak contractionCaristi type theoremTVS-cone metric space

Mathematics Subject Classification ID

Set-valued maps in general topology (54C60) Complete metric spaces (54E50) Fixed-point and coincidence theorems (topological aspects) (54H25) Special maps on metric spaces (54E40)

Related Items (3)

\( H^\beta\)-Hausdorff functions and common fixed points of multivalued operators in a \(b\)-metric space and their applications ⋮ Fixed point theorems for generalized set-valued weak \(\theta \)-contractions in complete metric spaces ⋮ Some remarks on Perov type mappings in cone metric spaces

Cites Work

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• Fixed point theorems for multivalued maps in cone metric spaces
• Mizoguchi-Takahashi-type theorems in tvs-cone metric spaces
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• Extension of Caristi's fixed point theorem to vector valued metric spaces
• Ordered cone metric spaces and fixed point results
• On a general class of multi-valued weakly Picard mappings
• Cone metric spaces and fixed point theorems of contractive mappings
• Multivalued fixed point theorems in cone \(b\)-metric spaces
• Multivalued fixed point theorems in tvs-cone metric spaces
• Some Results on Fixed Points--II

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