Fixed point theory for cyclic (ϕ - ψ)-contractions
By E. Karapınar, Kishin B. Sadarangani. 2011
176 citations recorded by the source corpus.
In this article, the concept of cyclic (ϕ - ψ)-contraction and a fixed point theorem for this type of mappings in the context of complete metric spaces have been presented. The results of this study extend some fixed point theorems in literature.2000 Mathematics Subject Classification: 47H10;46T99 54H25.
Subfields: Geometry and Topology
View Paper: https://www.semanticscholar.org/paper/e21f1e37ef8d664b0f1a805eeb9191ec7db09436
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In Geometry and Topology
- Mujahid Abbas
- Talat Nazir
- E. Karapınar
- Salvador Romaguera
- Stojan Radenovic
- Hassen Aydi
- Zoran Kadelburg
- Inci M. Erhan
Citations in the corpus
- weak φ-contraction on partial metric spaces and existence of fixed points in partially ordered sets (2011, background): “[14]) Let (X, ) be a partially ordered set and (X, p) a complete partial metric space.”
- Fixed point results for generalized cyclic contraction mappings in partial metric spaces (2011, background): “In fact, in 2010, P˘acurar and Rus [18] proved fixed point results for cyclic φ − contractions.”