Some new fixed point theorems for the Meir-Keeler contractions on partial Hausdorff metric spaces

DOI10.1186/s13660-015-0803-4zbMath1338.54174OpenAlexW2138745821WikidataQ59428984 ScholiaQ59428984MaRDI QIDQ262477

Kuo-Ching Jen, Li-Cherng Peng, Chi-Ming Chen

Publication date: 29 March 2016

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

Full work available at URL: https://doi.org/10.1186/s13660-015-0803-4

zbMATH Keywords

fixed pointpartial Hausdorff metric spaceMeir-Keeler contraction

Mathematics Subject Classification ID

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

Cites Work

• Fixed point theory for cyclic generalized contractions in partial metric spaces
• Fixed points for generalized weakly contractive mappings in partial metric spaces
• Fixed point theorems for \(\alpha\)-\(\psi\)-contractive type mappings
• Partial Hausdorff metric and Nadler's fixed point theorem on partial metric spaces
• Fixed point theorems for monotone mappings on partial metric spaces
• A generalized contraction principle in partial metric spaces
• Be careful on partial metric fixed point results
• Generalizations of Caristi-Kirk's theorem on partial metric spaces
• Fixed point results for the \({\alpha}\)-Meir-Keeler contraction on partial Hausdorff metric spaces
• Multi-valued contraction mappings
• A theorem on contraction mappings
• Partial Metric Topology
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