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Modified proof of Caristi's fixed point theorem on partial metric spaces

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Publication:394599
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DOI10.1186/1029-242X-2013-210zbMath1452.54031OpenAlexW2104965192WikidataQ59292674 ScholiaQ59292674MaRDI QIDQ394599

Chakkrid Klin-eam

Publication date: 27 January 2014

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/1029-242x-2013-210


zbMATH Keywords

Caristi's fixed point theorempartial metric spaceslower semi-continuous functions


Mathematics Subject Classification ID

Fixed-point and coincidence theorems (topological aspects) (54H25) Special maps on metric spaces (54E40)


Related Items (2)

On coupled coincidence point theorems on partially ordered \(G\)-metric spaces without mixed \(g\)-monotone ⋮ Separated ▵+-valued equivalences as probabilistic partial metric spaces




Cites Work

  • Generic existence and approximation of fixed points for nonexpansive set-valued maps
  • A generalization of Caristi's theorem with applications to nonlinear mapping theory
  • Approximate selections, best approximations, fixed points, and invariant sets
  • Fixed point theorems for weakly contractive multivalued maps.
  • On a lemma of Bishop and Phelps




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