Fixed point theorems for generalized contractions on partial metric spaces
By Salvador Romaguera. 2012
151 citations recorded by the source corpus.
Abstract We obtain two fixed point theorems for complete partial metric space that, by one hand, clarify and improve some results that have been recently published in Topology and its Applications, and, on the other hand, generalize in several directions the celebrated Boyd and Wong fixed point theorem and Matkowski fixed point theorem, respectively.
Subfields: Geometry and Topology
View Paper: https://www.semanticscholar.org/paper/1a4092ec2052d26d5dfb348a3bd988a6f0ef061b
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In Geometry and Topology
- Stojan Radenovic
- Zoran Kadelburg
- Mujahid Abbas
- Hemant Kumar Nashine
- Talat Nazir
- Salvador Romaguera
- Nawab Hussain
- Hassen Aydi
Citations in the corpus
- Matkowski's type theorems for generalized contractions on (ordered) partial metric spaces (2013, background): “These facts explain, in part, the recent extensive research on fixed points for self maps in partial metric spaces ([1, 2, 3, 5, 8, 11, 13, 19], etc).”
- Fixed point results for generalized cyclic contraction mappings in partial metric spaces (2011, background): “1 [5,25] Let (X, p) be a complete partial metric space and let f : X → X be a mapping such that”
- Fixed point results under various contractive conditions in partial metric spaces (2013, background): “2) with i = 3 or i = 4 were obtained in [1,3,4,19].”