A Proposal to the Study of Contractions in Quasi-Metric Spaces

By Hamed H. Alsulami, E. Karapınar, Farshid Khojasteh, Antonio-Francisco Roldán-López-de-Hierro. 2014

64 citations recorded by the source corpus.

We investigate the existence and uniqueness of a fixed point of an operator via simultaneous functions in the setting of complete quasi-metric spaces. Our results generalize and improve several recent results in literature.

Subfields: Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/27cfdc52d165421d1bb66ba2f9a0bfeb76586c0e

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In Geometry and Topology

1. Hamed H. Alsulami
2. Areej Alharbi
3. E. Karapınar
4. Inci M. Erhan
5. Hassen Aydi
6. Zoran Kadelburg
7. Stojan Radenovic
8. Wasfi A. Shatanawi

Citations in the corpus

• On the Power of Simulation and Admissible Functions in Metric Fixed Point Theory (2017, background): “The following example [1, 3, 4] shall be helpful to illustrate the worth of the notion of simulation function.”