On fixed point theory of monotone mappings with respect to a partial order introduced by a vector functional in cone metric spaces

DOI10.1155/2013/349305zbMath1273.54064OpenAlexW1966231838WikidataQ58916007 ScholiaQ58916007MaRDI QIDQ369885

Shujun Jiang, Zhilong Li

Publication date: 19 September 2013

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2013/349305

Mathematics Subject Classification ID

Set-valued maps in general topology (54C60) Fixed-point theorems (47H10) Fixed-point and coincidence theorems (topological aspects) (54H25)

Related Items (1)

Multivalued fixed point theorems in tvs-cone metric spaces

Cites Work

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• Maximal and minimal point theorems and Caristi's fixed point theorem
• Mizoguchi-Takahashi-type theorems in tvs-cone metric spaces
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• Boyd-Wong-type common fixed point results in cone metric spaces
• Extension of Caristi's fixed point theorem to vector valued metric spaces
• Remarks on Caristi's fixed point theorem and Kirk's problem
• Quasi-contractions on symmetric and cone symmetric spaces
• Ordered cone metric spaces and fixed point results
• A note on the equivalence of some metric and cone metric fixed point results
• On cone metric spaces: a survey
• Fixed point theorems in partially ordered complete metric spaces
• Fixed point theorems for mappings with convex diminishing diameters on cone metric spaces
• Fixed point theorems for multi-valued contractive mappings and multi-valued Caristi type mappings
• Fixed point theorems of multivalued monotone mappings in ordered metric spaces
• Cone metric spaces and fixed point theorems of contractive mappings
• Common fixed point theorems for ordered contractions and quasicontractions in ordered cone metric spaces
• Remarks on Caristi's fixed point theorem
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• \(K\)-metric and \(K\)-normed linear spaces: Survey
• Fixed point theorems for weakly contractive multivalued maps.
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• Coincidence and fixed point results in ordered image-cone metric spaces
• Fixed Point Theorems for Mappings Satisfying Inwardness Conditions
• Caristi's fixed point theorem and metric convexity

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