Generalizations of Caristi Kirk's Theorem on Partial Metric Spaces
By E. Karapınar. 2011
177 citations recorded by the source corpus.
In this article, lower semi-continuous maps are used to generalize Cristi-Kirk's fixed point theorem on partial metric spaces. First, we prove such a type of fixed point theorem in compact partial metric spaces, and then generalize to complete partial metric spaces. Some more general results are also obtained in partial metric spaces.2000 Mathematics Subject Classification 47H10,54H25
Subfields: Geometry and Topology
View Paper: https://www.semanticscholar.org/paper/a69964f0349f378002499d936af63c31ed49bffa
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In Geometry and Topology
- Inci M. Erhan
- Mujahid Abbas
- Talat Nazir
- E. Karapınar
- Salvador Romaguera
- Stojan Radenovic
- Hassen Aydi
- Zoran Kadelburg
Citations in the corpus
- Fixed point results for generalized cyclic contraction mappings in partial metric spaces (2011, result): “Karapinar [13,14] obtained more results in this direction (see also, [1,2,5,6,8,9,15]).”
- weak φ-contraction on partial metric spaces and existence of fixed points in partially ordered sets (2011, unknown): “[3, 4, 5, 6, 16]) A partial metric space (See e.”
- A common fixed point theorem for cyclic operators on partial metric spaces (2012, unknown): “, [1] - [4],[7], [14]-[? ],[26, 33]).”
- A NOTE ON COMMON FIXED POINT THEOREMS IN PARTIAL METRIC SPACES (2011, background): “[1, 2, 8, 10–17, 20]) focused on this subject and generalized some fixed point theorems from the class of metric spaces to the class of partial metric spaces.”
- Fixed Point Theorem for Cyclic Maps on Partial Metric spaces (2012, methodology): “Next, we give two lemmas stated and proved in [12,1] which will be used in the proofs of our main results.”