On p -Cyclic Orbital M-K Contractions in a Partial Metric Space

Tharmalingam Gunasekar, Saravanan Karpagam and Boyan Zlatanov
Additional contact information
Tharmalingam Gunasekar: Department of Mathematics, Vel Tech Rangarajan Dr. Sagunthala R&D Institute of Science and Technology, Avadi, Chennai 600 062, Tamil Nadu, India
Saravanan Karpagam: Department of Science and Humanities, Saveetha School of Engineering, Saveetha Institute of Medical and Technical Sciences, Chennai 602 105, India
Boyan Zlatanov: Faculty of Mathematics and Informatics, University of Plovdiv, “Paisii Hilendarski”, 24 Tzar Assen str., Plovdiv 4000, Bulgaria

Mathematics, 2018, vol. 6, issue 7, 1-11

Abstract: A cyclic map with a contractive type of condition called p -cyclic orbital M-Kcontraction is introduced in a partial metric space. Sufficient conditions for the existence and uniqueness of fixed points and the best proximity points for these maps in complete partial metric spaces are obtained. Furthermore, a necessary and sufficient condition for the completeness of partial metric spaces is given. The results are illustrated with an example.

Keywords: contraction; p -cyclic mappings; best proximity point; partial metric space (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2018
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (2)

Downloads: (external link)
https://www.mdpi.com/2227-7390/6/7/116/pdf (application/pdf)
https://www.mdpi.com/2227-7390/6/7/116/ (text/html)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:gam:jmathe:v:6:y:2018:i:7:p:116-:d:157004

Access Statistics for this article

Mathematics is currently edited by Ms. Emma He

More articles in Mathematics from MDPI
Bibliographic data for series maintained by MDPI Indexing Manager ().