A fixed point theorem for new type contractions on weak partial metric spaces

DOI10.1007/S10013-014-0112-0zbMath1322.54025OpenAlexW1986673052MaRDI QIDQ496499

Gonca Durmaz, Ishak Altun, Özlem Acar

Publication date: 22 September 2015

Published in: Vietnam Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10013-014-0112-0

zbMATH Keywords

fixed pointpartial metric spaceweak partial metric space

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Fixed-point and coincidence theorems (topological aspects) (54H25)

Cites Work

• Fixed point theorems for weak contractions in the sense of Berinde on partial metric spaces
• Some new extensions of Banach's contraction principle to partial metric space
• Generalized contractions on partial metric spaces
• Fixed point theorems for monotone mappings on partial metric spaces
• Fixed point theorems for generalized contractions on partial metric spaces
• Fixed point theorems for operators on partial metric spaces
• Existence and uniqueness of a common fixed point on partial metric spaces
• Iterative approximation of fixed points
• A Kirk type characterization of completeness for partial metric spaces
• Existence results for a class of \(p\)-Laplacian problems with sign-changing weight.
• Approximation of metric spaces by partial metric spaces
• PCF extended with real numbers
• Convergence theorems for sequences of nonlinear operators in Banach spaces
• Some generalizations of Caristi type fixed point theorem on partial metric spaces
• On Banach fixed point theorems for partial metric spaces
• Partial Metric Topology
• Some fixed point results on weak partial metric spaces
• Nonunique fixed point theorems in partial metric spaces
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