Best proximity point theorems for weakly contractive mapping and weakly Kannan mapping in partial metric spaces

DOI10.1186/1687-1812-2014-50zbMath1333.54052OpenAlexW2170886248WikidataQ59324164 ScholiaQ59324164MaRDI QIDQ2017368

Jingling Zhang, Yongfu Su

Publication date: 20 March 2015

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

Full work available at URL: https://doi.org/10.1186/1687-1812-2014-50

zbMATH Keywords

fixed pointbest proximity pointpartial metric\(P\)-propertyweakly contractive mapping

Mathematics Subject Classification ID

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

Related Items (5)

Generalized contraction mapping principle and generalized best proximity point theorems in probabilistic metric spaces ⋮ Fixed point and best proximity point theorems for contractions in new class of probabilistic metric spaces ⋮ Further generalized contraction mapping principle and best proximity theorem in metric spaces ⋮ \(\phi \)-best proximity point theorems and applications to variational inequality problems ⋮ A new method for the research of best proximity point theorems of nonlinear mappings

Cites Work

• On fixed point theory in partial metric spaces
• Existence and convergence of best proximity points
• A continuation method for weakly Kannan maps
• Convergence and existence results for best proximity points
• PCF extended with real numbers
• A note on `A best proximity point theorem for Geraghty-contractions'
• Best proximity points for some classes of proximal contractions
• Partial Metric Topology
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